For the 5th time in the past 10 years (previously 2023, 2022, 2019, and 2014), above is the NFL Draft Visit list from Walter Football organized by team and position. The numbers shaded in blue are conditionally formatted to show what position the team is concentrating on compared to other positions, those shaded in red are formatted to show what position each team is focusing on compared to other teams in the NFL.

This year I kept the same draft visit points system as last year:

• Visits worth 1 point = visits where the teams were already there and just talked to a player = Senior Bowl visit, NFL Combine visit, virtual visit
• Visits worth 2 points = visits where the team sought out the player, but in a group setting = Pro Day visit, Local visits (players that grew up or went to college in the area)
• Visits worth 3 points = individual visits where the player was brought in or worked out, often the most important = Private visits (teams have 30 of these to use), Workout visits

One difference this year is instead of displaying the sum total of the amount of draft visit points per team per position, I chose to display the percentage proportion of that team's total draft visit points used (what I call NFL Draft Visit Resources). The reasoning is simple: even if not every visit is reported, what IS reported should be consistent within the team. 

For example, if a team reports their visits often, it's likely that the reported visits are consistent across positions within that team, meaning we should be able to see what positions they're spending more resources on (resources in this case effectively mean time). Every team only has a certain amount of time pre-draft, and it's my theory that they allocate this time as efficiently and effectively as they believe they can. 

Please keep in mind that this list is in no way complete, as these are only the visits that teams/agents/players have reported that Walter Football thankfully organizes every year. There are likely many prospect visits that are not reported (for various team reasons) or not collected in the list. Also, some teams definitely report their visits A LOT more, there are some local newspapers/blogs that report a lot more, and there's certain players whose agents report more, etc. (For example: the data on Los Angeles Rams visits is pretty sparse, whereas the data on Pittsburgh Steelers visits is pretty robust. See the linked spreadsheet at the bottom for visit info)

Even though the data isn't 100% accurate, I believe it's still useful to look for trends on maybe what teams are concentrating on what positions. And I believe it'll be useful to similarly-minded mock draft nerds like myself. Happy mock drafting!

Link: Spreadsheet with data (keep in mind it was put together in 3 hours so only basic data verification/cleaning was done)

[The following was adapted from GPT-4 after I fed it a transcript of a 2 minute ramble I had recorded while walking a couple of weeks ago and asked it to turn it into a 1000 word essay]

I've come to understand — it has taken a while — that the impact of my words matters as much as their intention.

I want to help.

I want to optimize.

I want to make things better.

Yet, the art of feedback is delicate. It's about choosing the right moment, delivering thoughts with kindness and tact. It's a skill I'm still honing, balancing honesty with sensitivity.

Despite this awareness, there's a part of me that fiercely holds onto this trait; it's a part of who I am.

It drives me to question.

It pushes me to innovate.

It motivates me to seek excellence. 

But with this drive comes a responsibility – to be mindful, to be gentle.

So, here's my heartfelt revelation:

I am learning.

I am growing.

I am striving to find that sweet spot between sharing my insights and respecting the moment.

It's a journey of self-improvement, of understanding when my voice is needed and when silence is more powerful. 

In closing, this is my ongoing quest – to be thoughtful, to be considerate, yet to stay true to my instinct. To be the voice of change, yet the listener of the moment.

And amidst this complex dance of words and silence, I embrace this flaw, for it is also my strength. I'm working on being softer, more empathetic.

But in the depths of my soul, where truth whispers, I can't deny it:

I'm sorry... but I'm right.

[The following was copied and pasted from GPT-4 after I fed it a transcript of a 5 minute ramble I had recorded while walking just now and asked it to turn it into a 3000 word essay]

In today's digital age, the allure of becoming an influencer or content creator has captivated the imaginations of many, particularly the younger generation. This aspiration is not unfounded; the internet has democratized fame, allowing anyone with a camera and an internet connection to share their life, thoughts, and entertainment with the world. Platforms like Twitch, YouTube, and social media sites have become stages for individuals to broadcast themselves, playing video games, living their daily lives, or simply hanging out with friends. The concept of being paid to simply exist, to be oneself, has become a modern-day aspiration, symbolizing the ultimate dream: earning a living with minimal effort.

The phenomenon of influencers and streamers capitalizing on their daily lives for income taps into a long-standing human desire: to achieve success and recognition with as little exertion as possible. Platforms such as Twitch.com have popularized this trend, showcasing individuals who garner attention and income by sharing aspects of their lives, from gaming sessions to mundane daily activities. This trend is underscored by the importance of authenticity, especially for Generation Z, who value genuine self-expression and relatability in the content they consume.

However, the apparent ease with which influencers and content creators seem to earn their living belies the hard work and dedication required behind the scenes. Building an audience large enough to generate significant income through streaming or posting content online is a formidable challenge. It involves not only consistent content creation but also engaging with audiences, marketing oneself, and often innovating to stand out in a crowded space. The seemingly effortless lifestyle of successful influencers is the tip of the iceberg; beneath the surface lies a vast amount of unseen effort in content planning, production, and audience engagement.

Take, for example, the world of Twitch streaming. Some of the most popular streamers may spend hours daily broadcasting their gameplay or daily activities. Yet, what viewers do not see is the extensive preparation that goes into each session: the technical setup, the content planning, the interaction with fans off-camera, and the constant need to stay relevant in a rapidly changing digital landscape. Similarly, the trend of documenting one's life on social media might appear to be a simple task, yet it demands a constant stream of content creation, a knack for storytelling, and the ability to connect with followers on a personal level.

The dream of being paid to "do nothing" – to simply exist and share one's existence with an audience – is a misnomer. Successful content creators and influencers are storytellers, entertainers, and entrepreneurs who work tirelessly to build their personal brand and engage with their audience. They must navigate the complexities of the digital world, from understanding the algorithms that drive visibility on various platforms to responding to the shifting tastes of their viewers.

Moreover, the aspiration to become an influencer reflects a broader cultural shift towards valuing personal branding and individuality as commodities. In the past, careers were often defined by roles within organizations or specific professions. Today, the rise of the influencer economy suggests a move towards a more individualistic career path, where personal identity and the ability to captivate an audience can be as valuable as traditional professional skills.

This shift is not without its challenges. The saturation of the market means that for every successful influencer, there are thousands struggling to gain visibility. The pressure to constantly produce content that is both authentic and engaging can be mentally and emotionally taxing. Furthermore, the reliance on platforms and algorithms for visibility introduces a level of unpredictability and instability to these career paths.

Despite these challenges, the appeal of becoming an influencer persists. It speaks to a universal desire for recognition and to make a living by sharing one's passions and life with others. However, as with any career, success in this space requires hard work, persistence, and a willingness to adapt and grow. The dream of being paid for doing nothing is, in reality, a dream of being valued for who one is and what one can share with the world – a task that is far from effortless but potentially rewarding for those willing to undertake it.

As we look to the future, it is clear that the influencer economy will continue to evolve, shaped by technological advances and changing cultural attitudes towards work and entertainment. The journey to becoming a successful influencer or content creator is complex, demanding a blend of creativity, entrepreneurship, and resilience. Those who navigate this path successfully will not only achieve personal fulfillment but also redefine the boundaries of what it means to work and succeed in the digital age.

[The following was copied and pasted from GPT-4 after I fed it a transcript of a 3 minute ramble I had recorded while walking just now and asked it to turn it into a 1000 word essay]

Prediction: The Paradox of Knowing and Not Knowing

Predicting future events is a complex and paradoxical task, reflecting the inherent uncertainties and certainties of life. This essay explores the dual nature of predictions, using the framework of the five Ws: who, what, where, when, and why.

The first type of prediction is relatively straightforward in terms of 'what' will happen and 'why'. In certain situations, the outcome and its cause are clear. For example, we know that seasons will change due to the Earth's rotation. Here, the 'what' and 'why' are predictable. However, this type of prediction struggles with specifics - 'who' it will affect, 'where', and 'when'. This uncertainty is evident in weather forecasting. We can predict a hurricane but pinpointing its exact path and timing is more challenging.

Conversely, the second type of prediction involves scenarios where 'who', 'where', and 'when' are determinable. This is often seen in human-made decisions, like a company launching a product. The company decides the 'who' (target audience), 'where' (market), and 'when' (launch date). Yet, the 'what' – the outcome of this launch, and 'why' – the reasons for its success or failure, remain unpredictable. Market responses, consumer behavior, and environmental factors introduce variables that defy precise forecasting.

Both types of predictions demonstrate the paradox of prediction: certain aspects are predictable while others are shrouded in uncertainty. In the first type, we understand the cause and effect but lack details about the specific impact. In the second type, while the decision-maker has control over certain elements, the eventual outcome remains uncertain.

Predictions, therefore, are an interplay of known and unknown factors. Understanding this paradox is crucial in fields like business, science, and policy-making, where decisions are often based on predictions of future events. The challenge lies in balancing what we know with what we cannot foresee, acknowledging the limitations of our foresight while striving for informed decision-making.

This paradoxical nature of predictions reflects a broader theme in life: the coexistence of certainty and uncertainty. Much like life itself, predictions involve navigating through knowns and unknowns, making the best possible choices with the information available, yet remaining open to the unexpected. In embracing this paradox, we find a more realistic and flexible approach to understanding and preparing for the future.

In conclusion, predictions embody a fundamental paradox of certainty and uncertainty. While certain aspects of future events can be foreseen, others remain elusive. This duality requires a balanced approach, combining informed speculation with an acceptance of the unknown. Understanding this paradox is not just a theoretical exercise but a practical necessity in a world where decisions often hinge on predictions of what lies ahead.

[The following was copied and pasted from GPT-4 after I fed it a transcript of a 3 minute ramble I had recorded while walking just now and asked it to turn it into a 3000 word blog in the style of Morgan Housel]

Often, we find ourselves standing at the crossroads of aspiration and hesitation. It's a familiar place where our desires to embark on new ventures are frequently overshadowed by our fears – particularly, the fear of not excelling. This fear, deeply rooted in our perception of skill and accomplishment, can be a formidable barrier. It's a barrier that not only constrains our potential but also limits our understanding of what it means to truly engage in an activity.

Consider for a moment the sheer joy of a child painting. The child doesn't worry about the finesse of their brush strokes or the harmony of colors. Instead, they revel in the act of painting itself. Somewhere along our journey into adulthood, we lose this inherent ability to value the act of doing over the art of excelling. We start to equate our worth and the worth of our endeavors with our level of proficiency. 

This perception, while understandable, overlooks a fundamental truth: there is intrinsic value in the mere act of creation, independent of the skill level achieved. In every attempt, there's a lesson, an experience, a step taken forward – however small. The distinction between the ability to do something and the mastery of it is crucial. Mastery is a journey, not a destination, and every journey begins with a single, often imperfect, step.

My personal journey with writing serves as a testament to this philosophy. Writing, for me, was never about crafting perfect sentences or eloquent prose. It was, and remains, a medium to untangle thoughts, to give voice to feelings that often lay dormant, hidden beneath the hustle of daily life. Technology, particularly in recent years, has been a steadfast ally in this endeavor. Tools like voice transcriptions and AI platforms like ChatGPT have offered a new avenue for expression – one that is less hindered by the technicalities of writing and more focused on the essence of the ideas being conveyed.

These technological advancements have underscored an important lesson – the power of taking imperfect action. It's about moving from zero to one, transitioning from inaction to action. This principle, 'doing over excelling', is liberating. It shifts the focus from the end result to the process itself, encouraging a mindset where the act of trying supersedes the need for perfection.

In embracing this mindset, we open ourselves to a world of possibilities. Sharing our work, irrespective of its perceived quality, becomes a pathway to growth. Each shared piece is an invitation for feedback, for connection, for unexpected opportunities. It becomes less about how good the work is and more about the act of sharing, of being vulnerable, of being open to the journey of improvement.

Reflecting on this, it's evident that this principle extends far beyond writing or creative pursuits. It's applicable in all spheres of life – from learning a new skill to starting a new venture. The initial steps, often clumsy and uncertain, are the most crucial. They represent the courage to move beyond our comfort zones, to explore, to grow.

As we navigate through life's challenges and opportunities, it's worth remembering that our endeavors need not be perfect. They need only be sincere. The beauty lies in the attempt, in the courage to express, to create, to do – irrespective of the outcome.

In conclusion, I urge you, as I remind myself, to cherish the act of creation. Let us not be deterred by the elusive quest for perfection. Instead, let us find joy in the journey of doing, in the process of learning, and in the beauty of expressing ourselves. Our creations, no matter how imperfect, are reflections of our unique perspectives and experiences. They are valuable, not because they are flawless, but because they are real.

[The above image and following post was copied and pasted from GPT-4 from a 2 minute rambling thought transcribed through Google Docs. I generated a couple separate versions of this in a couple chats, all pretty similar, for some reason all including the specific callout of Michelle Obama's book haha]

Learning is an endless journey, an ever-evolving process that accompanies us throughout our life. It's a widespread belief that the end of formal education marks the cessation of our learning. However, this is a misconception. As we journey through different stages of life, our learning does not stop; it simply transforms, taking on new shapes and adapting to our evolving needs and environments. This lifelong journey of learning is rich, diverse, and incredibly rewarding.

In the adult world, the workplace often becomes a primary arena for learning. Here, learning is integral and continuous, but it typically revolves around job-specific skills and knowledge. Employees learn and adapt to new technologies, methodologies, and strategies to enhance their performance and remain relevant in their fields. This type of learning, whether through structured training or on-the-job experience, hones one's expertise and adaptability within their chosen profession. It reflects an explicit form of learning, where the objectives are clear and the outcomes are directly related to job performance. But there's more to adult learning than just professional development.

Outside the constraints of our professions, many adults continue to engage in learning, albeit in more subtle and varied ways. Some immerse themselves in books, exploring new worlds, ideas, and perspectives. Reading books like Michelle Obama's "Becoming" can offer enlightening insights into the experiences and growth of influential figures, expanding our understanding of leadership, resilience, and personal development. Others delve into the realms of popular culture, absorbing information about celebrity lives, the latest music trends, or analyzing TV shows and movies. Though often seen as light entertainment, this type of learning provides insights into societal trends, human behavior, and cultural dynamics.

But there's an often-neglected aspect of adult learning that holds immense value: the revisiting and re-evaluation of old, foundational ideas and knowledge. The wisdom passed down through generations, the basic concepts and principles taught in our early education, or the timeless truths that have withstood the test of time – these are invaluable sources of knowledge and insight. As adults, revisiting these ideas with the lens of our accumulated experiences and mature perspectives can be incredibly enriching and enlightening.

Consider the process of re-reading a favorite book from childhood or adolescence. Each reading, at a different stage in life, can unveil new meanings, interpretations, and relevance. This reflective process enables us to connect the simplicity of foundational knowledge with the complexity of our life experiences. It's not just about re-learning old facts; it's about deepening our understanding and finding new applications and significance in what we once thought we fully understood.

Let's take the basic concept of kindness, a virtue taught in early childhood. As adults revisiting this concept, we can appreciate its complexities and far-reaching impacts in ways we couldn't as children. We understand how acts of kindness can transform personal relationships, influence professional environments, and shape communities. Similarly, re-examining historical events, scientific principles, or literary classics from the vantage point of our adult experiences can lead to deeper insights and a more profound appreciation of their significance and impact.

In essence, lifelong learning for adults isn't confined to acquiring new information or developing new skills for professional advancement. It's about a holistic approach to knowledge – connecting new learning with past experiences, revisiting basic concepts with a mature perspective, and integrating this understanding into our daily lives. This approach to learning is both enriching and transformative, enabling us to see the world through a more informed, nuanced, and empathetic lens.

Digital technology and online resources have further expanded the horizons of lifelong learning. The vast array of online courses, educational platforms, and digital libraries puts a world of knowledge at our fingertips, allowing us to explore new subjects, update our skills, and connect with global learning communities. The ease of access to diverse forms of knowledge and learning tools makes it possible for adults to continue their educational journey in ways that were unimaginable a few decades ago.

Learning throughout life is not just about personal enrichment; it's about becoming better individuals, professionals, and members of society. It's about understanding the world in its complexity and contributing to it with greater awareness and empathy.

Image prompt: asked it to read the blog post and come up with a beautiful abstract cover image

[The following was copied and pasted from GPT-4 after I fed it a transcript of a 3 minute ramble I had recorded while walking just now and asked it to turn it into a 2000 word blog]

The sayings "Luck is when preparation meets opportunity" and "Knowledge is Ideas times Action" are more than mere catchphrases; they offer profound insights into the intricacies of success and fortune. These two ideas might seem unrelated at first, but they converge in a way that allows us to grasp the essential elements of luck and how to achieve it.

Preparation, in the most straightforward sense, is having a set of good ideas for what might happen next. These ideas are like the blueprints for building a house. For example, when you practice evacuating a building during a fire drill, you're converting an abstract idea—safety during a fire—into an actionable plan. You're not just thinking about safety; you're embodying it through action. By doing so, you're creating valuable knowledge, aligning perfectly with the Benth model that posits knowledge springs from ideas and action together. 

The role of opportunity is similar to a keystone in an arch; it holds everything together. You can practice basketball shots until your hands are sore, but it's not until you're in an actual game—your moment of opportunity—that your preparation gets put to the test. And it's at that very moment that luck happens. Not just random luck, but a type of luck you've cultivated through preparation.

Yet, the relationship between preparation and opportunity isn't just about adding one to the other. They multiply together to create luck or success. If you're exceedingly prepared but devoid of opportunities, your readiness sits idle, like an unused tool in a toolbox. Conversely, if you're presented with a multitude of opportunities but lack the requisite preparation, those opportunities will flit by, unused and wasted. Both components—preparation and opportunity—must be robust and active for the magic called "luck" to occur.

And it is precisely this dynamic interplay that characterizes stories of "overnight successes." Those who suddenly rise to fame or fortune have usually been grinding away in obscurity for years. They are incredibly prepared due to their sustained dedication and hard work. But they also make their own opportunities rather than passively waiting for luck to strike. They actively seek out chances and capitalize on them, embodying the essence of both preparation and action. 

We cannot overlook the fact that we exist in a networked society. This social interconnectedness acts as a catalyst for creating opportunities. The more people you know, the more doors that potentially open, reinforcing the idea that luck is seldom an isolated incident but more often a communal journey influenced by our relationships and social circles.

So when people say, "That person is so lucky," it's rarely just the hand of fate. That person has likely strategized, acted, learned, and seized opportunities for a long time. They've prepared with intention, acted with purpose, and grabbed hold of opportunities with both hands. Thus, "Luck is when preparation meets opportunity" and "Knowledge is Ideas times Action" serve as invaluable life guides. They remind us that we have a role in crafting our own destiny by marrying our preparation with proactive action, to seize or even create opportunities. 

I'm beginning to do some exploratory data analysis with 2024 Big Data Bowl (BDB) data. This year's theme is tackling; creating metrics or visualizations that will help explain tackling in the NFL.

One early thought I had was if a defensive player's arm length, hand size, and bench press (bench press is an indicator of grip strength) numbers have any correlation with better tackling percentages. I haven't figured out a good way yet to measure the effectiveness of a tackler, so I just did a basic "(opportunities - missed tackles)/opportunities" percentage for a simple measure of a tackler's effectiveness.

I pulled the tackle data from the Big Data Bowl website and got combine data for the 2017-2022 NFL Drafts from Steelers Depot, one of the most comprehensive NFL Combine data sources. We're allowed to use any publicly available dataset so these (somewhat incomplete) Combine results would have to do.

I needed to do some data cleaning on the Combine data to standardize it and make things like arm length (32 3/8") plottable (32.375). Then I paired it by player name and linked it to the tackle data provided by BDB. The heatmap above was simply created by uploading a spreadsheet into GPT-4's Advanced Data Analysis tool and asking for a correlation matrix visualization. 

The quick answer to my question is below:

• No physical measurement from Combine data is highly correlated with the tackle made percentage, although arm length and vertical jump are the highest at 0.03. They're all basically 0.

_______________

Then I asked GPT-4 for the top 20 correlations and what they mean, sorted by absolute value (so highly positive or negative correlations are ranked high), the info below is copied and pasted from it. There were some interesting (and obvious) pairs that emerged:

The top 20 correlation pairs, ranked by absolute value, are as follows:

1. **10 YD and 40 YD**: Correlation of 0.92 indicates a very strong positive relationship. Faster 10-yard dash times likely mean faster 40-yard dash times.

2. **SS and 3C**: Correlation of 0.89 indicates a strong positive relationship. Better scores in the Short Shuttle likely mean better scores in the 3-Cone Drill.

3. **Weight and 40 YD**: Correlation of 0.85 suggests that as weight increases, the 40-yard dash time also likely increases.

4. **BJ and 40 YD**: Correlation of -0.82 indicates a strong negative relationship. Better Broad Jump scores likely mean faster 40-yard dash times.

5. **10 YD and BJ**: Correlation of -0.82 shows that better 10-yard dash times likely mean better Broad Jump scores.

6. **40 YD and 3C**: Correlation of 0.81 indicates a strong positive relationship. Faster 40-yard dash times likely mean better 3-Cone Drill scores.

7. **10 YD and Weight**: Correlation of 0.81 suggests that as weight increases, the 10-yard dash time also likely increases.

8. **BJ and VJ**: Correlation of 0.80 shows a strong positive relationship. Better Broad Jump scores likely mean better Vertical Jump scores.

9. **SS and 40 YD**: Correlation of 0.77 indicates a strong positive relationship. Better Short Shuttle scores likely mean faster 40-yard dash times.

10. **3C and Weight**: Correlation of 0.77 suggests that as weight increases, the 3-Cone Drill score likely increases.

11. **VJ and 10 YD**: Correlation of -0.77 indicates a strong negative relationship. Better Vertical Jump scores likely mean faster 10-yard dash times.

12. **SS and Weight**: Correlation of 0.76 suggests that as weight increases, the Short Shuttle score likely increases.

13. **10 YD and 3C**: Correlation of 0.74 shows a strong positive relationship. Faster 10-yard dash times likely mean better 3-Cone Drill scores.

14. **VJ and 40 YD**: Correlation of -0.73 indicates a strong negative relationship. Better Vertical Jump scores likely mean faster 40-yard dash times.

15. **ARM and Height**: Correlation of 0.73 shows a strong positive relationship. Taller height likely means longer arm length.

16. **225 BENCH and Weight**: Correlation of 0.71 indicates that as weight increases, the 225 Bench Press score likely increases.

17. **10 YD and SS**: Correlation of 0.70 shows a strong positive relationship. Faster 10-yard dash times likely mean better Short Shuttle scores.

18. **3C and VJ**: Correlation of -0.69 indicates a strong negative relationship. Better 3-Cone Drill scores likely mean better Vertical Jump scores.

19. **3C and BJ**: Correlation of -0.68 shows a strong negative relationship. Better 3-Cone Drill scores likely mean better Broad Jump scores.

20. **SS and BJ**: Correlation of -0.68 indicates a strong negative relationship. Better Short Shuttle scores likely mean better Broad Jump scores.

[After seeing Vitalik Buterin's reflections on his two-month retreat experiment with 200 people working on the Ethereum community, it brought to mind "missions" like Reid Hoffman mentions in his book The Alliance — lower stakes Manhattan Projects maybe — as well as how different missions are what makes the story of James Bond so interesting and evergreen.

So I asked GPT-4 to write a 4000 word blog post based on a transcription of a 4 minute ramble on my thoughts. But unlike other essays like this, I did NOT tell it to emulate any writer in particular AND I specifically told it to not have chunked paragraphs with separate ideas and titles. I like how it turned out, even if it could be improved]

In the vast landscape of pop culture, some franchises stand the test of time, capturing imaginations across generations. Take Star Wars or Star Trek; their futuristic worlds give creators the liberty to continuously reinvent scenarios because the possibilities of the future are limitless. Then, there are franchises grounded in our present-day world, like the James Bond series, which offer a different but equally compelling allure. Created by Ian Fleming and immortalized through a succession of films dating back to the '60s, James Bond has been an iconic figure played by various actors over the years. The character's durability doesn't just attest to good storytelling or cinematic prowess; it taps into something fundamental about our society and what fascinates us continually. James Bond's role as an international spy is meticulously designed for maximal intrigue—hunting down villains, navigating moral complexities, and embodying a certain aspirational charisma.

The longevity and profitability of the James Bond franchise, handled by the Broccoli family, says a lot about what keeps audiences coming back. Bond's life, on the surface, may seem like pure escapism: the exotic locations, the adventurous missions, the villains and their grandiose schemes. But at its core, James Bond is about the struggle between good and evil, an elemental concept that resonates with us because we live it every day. Most of us aim to do good, strive to maintain world order, and hope for prosperity. Bond's characterization may not include a traditional family or domestic aspirations, but it certainly highlights the quest for global stability and ethical integrity, principles that are universally appealing.

One fascinating aspect of the Bond character and his world is the notion of missions—specific, high-stakes assignments in various global locations. While this idea is familiar from military and special forces narratives, its single-agent focus in the Bond films makes it especially captivating. It propels the imagination toward an intriguing model for the future of work, a future where the concept of "missions" could be applied far beyond international espionage or military intervention. 

The film's portrayal of James Bond may, in some sense, be predictive. Think about how we could adapt this concept of missions to fit other professions. Software developers, CEOs, artists, or experts in any number of fields could take on short-term projects in various parts of the world, much like Bond. For instance, a group of professionals might embark on a three-month stint in Berlin to launch a software startup. Or a team of creatives could head to South Korea with the aim of breaking the next big K-pop act. These "missions" would not only offer the allure of exotic locales but also the challenge and excitement of short-term, high-impact work.

It's an extension of what Vitalik Buterin, the founder of Ethereum, did when he convened 200 people for a two-month exploration into advancements in cryptocurrency. It also resonates with the Manhattan Project, which, although incomparably high-stakes, was essentially a mission with a specific, non-recurring objective. Unlike ongoing enterprises like NASA, these are contained endeavors with unique goals that are meant to be achieved in a finite timeframe. 

Reid Hoffman, the co-founder of LinkedIn, hinted at this future in his book "The Alliance," discussing the emerging trend of professionals engaging in brief, impactful projects. But the James Bond model adds another layer to this: the appeal of collaboration and exotic settings. People are increasingly interested in doing meaningful work, but they also yearn for the camaraderie and adventure that comes with changing scenery and diverse teams. 

As society evolves and technology connects us in more complex ways, the realm of what's possible expands. The lines between work and adventure, between solitude and collaboration, are blurring. What was once the realm of spies and special agents might just become the future of work for many more of us. And while these missions might not involve chasing villains through glamorous international cities, they hold the promise of fulfilling, exciting work that taps into our deepest ambitions and desires.

[The following was copied and pasted from GPT-4 after I fed it the transcript  of this podcast and asked it to turn it into a 3000 word blog in the style of Morgan Housel https://twitter.com/kikiclavelle/status/1707314115444625494?t=Jh6QVx_eVS8xv9xaYPUq2g&s=19]

An Odyssey of Mindfulness: A Deep Dive into the Conversations of Tim Ferriss and Arthur C. Brooks

In a world where the quest for happiness often leads to transient satisfaction, the conversation between Tim Ferriss and Arthur C. Brooks presents an enticing alley of exploration. Through the twists and turns of personal anecdotes and the gentle sway of philosophical musings, their dialogue invites us on a journey towards a deeper understanding of life’s essence.

The sun had barely cast its early rays when I stumbled upon this transcript, a disussion that promised to traverse the landscapes of happiness, mindfulness, and the symbiotic connection between the corporeal and the ethereal. With a steaming cup of coffee in hand, I delved into the world where eastern philosophy meets western pragmatism.

The narrative unfolds with Arthur Brooks, a man of contemplative nature, reflecting on the realm of desires. He talks about a subtle yet profound practice—writing down one's ambitions and revisiting them, a practice aimed at taming the wild horses of desires that often gallop unbridled in the meadows of our minds. His mention of the Dalai Lama's teachings of “intention without attachment” resonates with the harmonious chords of eastern wisdom. It’s a tune that invites us to dance but not get lost in the rhythm of worldly pursuits.

As the morning sun climbed higher, casting a gentle glow on the room, the discussion transitioned to the serene teachings of Thích Nhất Hạnh. Brooks recounts how this venerable monk’s insights on mindfulness and detachment paved the way for a deeper understanding of his own Catholic practices. The narrative takes a tranquil trail into the woods of contemplation, where the leaves of mindfulness rustle with the breeze of prayer, offering a peaceful sanctuary from the chaos of the mundane.

The journey doesn’t just hover in the ethereal; it gracefully descends into the corporeal realm where the conversation steers towards physical fitness. Arthur shares his foray into occlusion training, a testament to the age-old adage - a healthy body harbors a healthy mind. The narrative flexes its muscles, showcasing the symbiotic relationship between physical vigor and mental tranquility.

With a subtle shift, the dialogue ventures into the intimate alleys of interpersonal relationships. The imagery of couples praying together, sharing a moment of divine communion amidst the earthly journey, paints a picture of profound intimacy.

As the day unfolded, the shadows growing longer with the setting sun, the narrative of Ferriss and Brooks left a lingering essence of introspection. The meld of personal experiences with age-old wisdom offered a compass to navigate the labyrinth of life, towards a center of serene understanding.

The voyage through this transcript wasn’t just a passive sail across words, but an active engagement with ideas that beckon a deeper delve into the essence of existence. It was a day spent in the company of sagacious minds, a day that promised the dawn of contemplative explorations.

As I closed the tab, the room seemed to resonate with the echoes of the profound dialogue, a symphony that promised to play in the corners of the mind, long after.

Image prompt: the engine and the road, killer slasher childrens book, Pastel Art, Signage, 2D, Pentagon

[The following was copied and pasted from GPT-4 after I fed it a transcript of a 3 minute ramble I had recorded while walking just now and asked it to turn it into a 3000 word blog in the style of Morgan Housel]

The Engine and The Road: Rethinking Sustainability

Imagine yourself as a meticulously designed engine built for the long haul. The purpose of this engine? To move. To generate momentum. To carry yourself and others forward, through your career, your passion, or your day-to-day life. But now think: What happens when you floor this engine without any breaks? The answer may sound simple—burnout. But let's dissect this further, especially when some believe that an engine's worth is in how hard it can be pushed.

The Multiple Facets of Sustainability

Sustainability has become a catchphrase. From eco-friendly products to stable economies, it seems everyone is searching for the sustainable option. Yet, when it comes to personal sustainability, the narrative often takes a back seat. What do I mean by personal sustainability? It's your ability to perform your job or pursue your passion in a manner that doesn't deplete you to the point of quitting or, worse, losing your sense of self.

The Startup Conundrum: Scale vs. Effort

In the startup ecosystem, there's a fascinating paradox. Early on, you're told to "Do things that don't scale," to go that extra mile for every client. While this approach is good to get you off the ground, it doesn't serve you well when you're trying to reach cruising altitude. You need to shift gears. You can't keep running an entire company like you did when you were a team of five.

Now, let's address the elephant in the room. Some people would argue that to succeed, you have to constantly operate at full throttle. After all, didn't all those overnight successes we hear about work 100-hour weeks? The answer is more complicated than a simple yes or no. While it's true that effort is a significant contributor to success, continual 100-hour weeks present a skewed form of sustainability that may not work for everyone.

The Teacher's Tale: An Unsustainability Story

Let's take a deep dive into the world of teaching—a profession that's often cited as a 'labor of love.' Teachers indeed carry an enormous load. It's not just about imparting knowledge but also grading, mentoring, and sometimes, playing the role of a parent, counselor, and friend.

Now, there's a view that if you truly love what you're doing, you'd put in all the hours needed to be excellent at it. Quitting or even taking a break would be tantamount to betrayal or failure. But here's the thing: even passion needs to be sustainable. Teachers are humans, not inexhaustible resources. And if you push human resources to their limits, there are costs—drop in quality, health issues, or even leaving the profession altogether.

The Art of Saying No

In a world that's obsessed with the hustle, saying "no" is almost sacrilegious. But here's another perspective. Saying "no" to tasks that you can't do well or can't manage isn't a sign of laziness; it's a sign of specialization. Every "yes" you give has a hidden cost, often paid for by robbing time and energy from other tasks you should be focusing on.

The Equation of Sustainability: A Revisit

In the original post, the equation for sustainability was simple: keep your energy input greater than or equal to your energy output. But for those who believe in "put your head down and shut up and work," this equation looks incomplete. For them, running on a deficit is not necessarily a bad thing; it's an investment in future success.

This argument holds some weight. Yes, investments often require you to put in more than you get out. But every good investor also knows that diversified portfolios are less risky. In the context of personal sustainability, diversifying could mean learning to balance different aspects of your life—work, family, health, and personal growth. An all-in investment in just one of these aspects could be the equivalent of putting all your eggs in one basket.

Adaptive Strategies for Sustainable Living

Adaptation is key. What works today might not work tomorrow. Similarly, the level of energy you can output today might not be the same a year from now. This holds true even if you are of the mindset that hard work trumps all. Circumstances change, both externally and internally. Adapting to these changes doesn't mean you're giving up; it means you're smart enough to modify your strategy for long-term success.

The Ripple Effect

Finally, let's acknowledge the widespread implications of personal sustainability. When a teacher burns out, it's not just a personal loss; it's a societal loss. Similarly, when a startup founder faces burnout, the repercussions aren't limited to them; it affects the employees, investors, and even the industry to some extent.

Concluding Thoughts

Personal sustainability is not about avoiding work; it's about intelligently managing your energy so that you can work better, for longer. It's not an excuse to slack off but a strategy to enable growth—both personal and for those who depend on you. So the next time you're asked to go the extra mile, think carefully. Assess the cost and decide whether it's a sprint you can afford, keeping in mind that life is not a sprint; it's a marathon.

[The following was copied and pasted from GPT-4 after I fed it a transcript of a 3 minute ramble I had recorded while walking just now and asked it to turn it into a 2000 word blog in the style of Morgan Housel]

What Doesn't Kill You: The Power of Choice and Perspective

We've all heard the saying, "What doesn't kill you makes you stronger." But have you ever stopped to consider what that actually means? And how you have the power to decide whether this phrase applies to your life or not?

The Fork in the Road

Picture life as a road. Things happen. A tire goes flat. The engine stalls. You even crash. The reality is, you can look at that stalled car in two ways. One, it's an obstacle that defines you, cripples you. Or two, it's a challenge, a chance to show your grit and your skill. The choice is yours.

Resilience: Your Built-in Muscle

Think of resilience like a muscle. It's there, part of you, waiting to be used. When life punches you down, your resilience can be the thing that pushes you back up. But it doesn't grow unless you use it. The more you let challenges build you up, the stronger that resilience muscle becomes. You're not just surviving; you're thriving.

The 3D Model of Life

Here's another trick. Ever tried looking at a situation from multiple angles? Different viewpoints give you a fuller picture, a 3D model of what you're dealing with. It's like piecing together a puzzle. The more perspectives you consider, the clearer the overall image becomes.

Spatial Awareness: More Than Just Where You Stand

Let's get deeper. Spatial awareness isn't just about knowing where you are; it's about understanding your relationship with everything around you. It's a different kind of sense, one that feeds your mind, not just your eyes or ears. 

Knowing where you stand in relation to your challenges gives you power. It helps you grasp the situation at hand and act with intention, not just react out of emotion. 

Storytelling and The Human Connection

When you can understand your situation deeply, you can also talk about it more effectively. Telling your story isn't just about saying what happened; it's about making other people feel what you felt. By connecting with others, your story doesn't just become a tale of survival; it turns into a beacon of hope and strength for everyone who hears it.

The Art of Reframing

The skill to reframe your challenges is perhaps the most liberating. What if the worst day of your life was actually the best day of your life, just in disguise? Reframing doesn't mean pretending something bad is good. It means finding the good that can come out of something bad.

Your Choice, Your Power

The beauty is, you get to choose. You decide if a hurdle is a stop sign or a stepping stone. You choose whether to be a victim of your circumstances or a master of your fate. And with that choice, you don't just change your life; you also inspire change in the lives of those around you.

Conclusion: Own Your Journey

So yes, what doesn't kill you can make you stronger, but only if you let it. It can teach you resilience, offer you a fuller understanding of life, and even turn you into a storyteller who inspires others. All it takes is the courage to choose, the wisdom to see, and the will to move forward. 

Life doesn't come with a manual, but it does offer choices. How you respond to what happens to you could be your most significant decision. So choose wisely. Because what doesn't kill you doesn't just make you stronger; it makes you wiser, more aware, and, most importantly, more human.

Choose to be strong. Choose to be wise. Choose to own your journey, no matter how twisted the road may be. And remember, it's not just about surviving; it's about thriving.

[The following was copied and pasted from GPT-4 after I fed it a transcript of a 3 minute ramble I had recorded while walking just now and asked it to turn it into a 3000 word blog in the style of Morgan Housel]

Seeing the World Through Math: A Mathematical Lens for Everyday Life

As a math teacher, there's a saying I often share with my students: "To a man with a hammer, everything looks like a nail." For me, math is that hammer. I don't just teach equations and algebra; I see the world through a mathematical lens. It's an intriguing, all-encompassing way to make sense of our surroundings. 

Everyday Mathematics: Beyond the Obvious

Most of us are familiar with the basic math that governs our lives. Money, stocks, tipping at a restaurant – these are daily reminders that numbers play a part in everything we do. But what if I told you that math stretches its invisible tendrils into areas you've never even considered?

Consider the simple act of sending an email. You might think that if you send an email to one person, the impact is x. So if you send it to five people, the impact should be 5x, right? But it doesn't work that way. The cumulative effect isn't merely multiplied; it's expanded. It's more than five times. And that's just the tip of the iceberg.

Inverse Relationships: Uncovering Hidden Truths

As we delve deeper, the waters of mathematical logic become murkier and more fascinating. Inverse relationships, for instance, are everywhere. They're in the way we perceive value, the way we make decisions, and even the way we understand truth.

Here's an amusing yet profound example: the "Bike Shed Problem." Imagine a committee tasked with building a nuclear plant. You would think they would spend most of their time discussing the critical aspects, like where to place the plant. But in practice, they might spend 90% of their time discussing where to put the bike shed on the site. The seemingly inconsequential decisions consume the most time, while the pivotal choices are glossed over.

This inverse relationship between importance and attention is not only counterintuitive but also deeply revealing about human nature.

Mathematical Insights into Decision Making

The Bike Shed Problem isn't just a humorous anecdote. It's a stark illustration of how our decision-making processes are often flawed. It shows that we tend to dwell on trivialities and overlook the monumental.

In the real world, we often entrust committees with big decisions, hoping that collective wisdom will prevail. But as the Bike Shed Problem illustrates, committees can get mired in the mundane. The reality is, informed, educated individuals usually drive significant changes, both good and bad. They make the decisions that shape our world, while committees argue about the bike sheds.

Consider how many corporate boardrooms have been ensnared in minutiae while missing the big picture. Think about how many governments have become paralyzed by endless debates over trivial matters. These scenarios aren't mere happenstance; they're manifestations of mathematical principles in action.

Unintuitive Mathematics: Exploring Further Examples

Mathematics is full of surprises, and often, what seems intuitive is anything but. Take the concept of x and one over x. This relationship between a number and its reciprocal is not linear; it's inversely proportional. And these sorts of relationships aren't just confined to textbooks; they're reflected in our daily lives.

For example, consider happiness and material wealth. As wealth increases, happiness might not follow suit. There's a point of diminishing returns where more money doesn't equate to more happiness. That's an inverse relationship at work, and it's not something most of us naturally grasp.

Or think about success and effort. You might assume that doubling your efforts will lead to doubling your success. But in many endeavors, the relationship between effort and success is nonlinear. Sometimes, a small change in input leads to a massive change in output, and vice versa.

These examples illustrate that understanding mathematics is more than just solving equations. It's about recognizing the hidden patterns and structures that govern our world.

Conclusion: Embracing the Mathematical Worldview

As we've explored, math isn't confined to the classroom. It's a universal language that can help us understand everything from personal finance to human behavior.

But more than that, embracing a mathematical worldview encourages us to question our assumptions. It challenges us to look beyond the obvious and recognize the underlying principles that shape our lives.

The world, seen through the lens of math, is a place of beauty and complexity. It's a landscape where the mundane can be profound, where the intuitive can be misleading, and where the hidden truths are often the most enlightening.

So the next time you tip your waiter or decide to send an email to a friend, take a moment to appreciate the mathematics at play. And maybe, just maybe, you'll start to see the world a little differently.

Math is more than numbers and equations; it's a way of thinking, a way of living. It's a hammer that can break down complex problems into understandable parts. And in a world that often seems chaotic and confusing, that's a tool we all could use.

Whether you're investing in stocks or deciding where to build a bike shed, the principles of math are there, guiding your way. Embrace them, and you might just find that everything adds up. After all, in a world where everything can be expressed through equations and ratios, why not let math guide the way?

Further reading

If this piqued your interest, here are some books that delve into how math shapes our lives:

- "How Not to Be Wrong: The Power of Mathematical Thinking" by Jordan Ellenberg

- "The Joy of x: A Guided Tour of Math, from One to Infinity" by Steven Strogatz

- "Thinking in Numbers: On Life, Love, Meaning, and Math" by Daniel Tammet

Remember, math is not a subject to be feared or dreaded; it's a gateway to understanding the universe. So pick up your hammer and start seeing the nails. It's a beautiful world out there, waiting to be understood.

[The following was copied and pasted from GPT-4 after I fed it a transcript of a 3 minute ramble I had recorded while walking just now and asked it to turn it into a 2000 word blog in the style of Morgan Housel]

[[I'm not terribly happy with how this turned out, too chopped up, think my custom instructions are messing it up]]

A Drafting Job That Turned into Lessons for a Lifetime

I. An Unexpected Start: The Drafting Position

Life often doesn’t follow the plans we lay out. It takes unexpected turns, leading us down paths that teach us lessons more valuable than we could have ever imagined. 

I was in a transition phase, equipped with a degree in architectural engineering and a mind filled with dreams but struggling to find a job in a competitive market. Then the unexpected happened: I was offered an AutoCAD drafter position with SolarCity.

A. The Decision to Accept

The job wasn't exactly what I had been seeking. But it was a foot in the door, an opportunity in a growing industry of solar energy, and a chance to move to California, a place burgeoning with optimism and potential.

The lesson here? Sometimes you have to take a leap of faith and grab an opportunity, even if it doesn’t seem perfect.

II. Growth and Progression: From Drafter to Project Manager

Once in the door, I didn't stay still. The position, which began as a drafting job, evolved quickly.

A. A Rapid Progression

In a whirlwind of six months, I moved from drafting to team lead, and then another six months saw me designing systems for people's homes. 

B. Unique Opportunities

A special team dealing with a variety of roles, including project management, customer service, and design, led me to work on a massive project with the U.S. military to retrofit military bases with solar rooftops.

The key takeaway? Growth comes quickly when you seize opportunities and embrace the chance to learn and adapt.

III. Process Evolution and Efficiency: Finding Ways to Do Better

Work isn’t just about what you do; it’s about how you do it.

A. The Challenge of Scaling

Working on 500+ homes with repetitive designs, we were faced with the need to streamline our process. This wasn't just about getting the job done but doing it efficiently and effectively.

B. Learning from Experience

The experience taught me the importance of thinking ahead, being proactive, and continually finding ways to improve the process.

IV. Beyond Solar: Transferring Skills to Teaching

The skills I acquired in those five years extended beyond the engineering and solar field.

A. Moving to a New Role

I left SolarCity and ventured into a new world – teaching. But what surprised me was how seamlessly the skills I had gained transferred into the classroom.

B. Skills That Transcend Job Titles

Managing people, communicating clearly, adapting to different scenarios, and being consistent and reliable – these were things that had shaped me at SolarCity and continued to guide me as a teacher.

V. The Big Picture: Lessons in Life and Work

The story isn't just about a job in solar energy or a transition to teaching. It’s about much more profound and universally applicable lessons.

A. Embracing the Unexpected

Life doesn't always present us with the exact opportunities we seek. But accepting something unexpected may lead to growth and lessons you never anticipated.

B. Continuous Growth

Don't be afraid to evolve, to move from one role to another, or even from one industry to another. What you learn in one place can often translate into valuable skills elsewhere.

C. The Importance of Efficiency

Understanding how to do things efficiently is a skill that goes beyond any particular job. It’s about thinking creatively, being proactive, and finding ways to do things better.

D. The Transferable Nature of Skills

Skills are often more transferable than we realize. The management and communication skills I honed in solar energy were just as applicable in a classroom setting.

VI. Conclusion: A Journey Worth Taking

That job as a drafter with SolarCity turned out to be more than a job. It was a journey filled with lessons about adaptability, growth, efficiency, and the unexpected ways skills can transfer from one part of life to another.

As with any journey, the path was filled with twists and turns, surprises and insights. But looking back, it all makes sense. Each step taught me something valuable, each challenge shaped me a little more, and each success gave me the confidence to move forward.

What might seem like just a career move or a simple job decision can sometimes be a profound learning experience. You just have to be open to the lessons life is offering. Sometimes, it's the unexpected paths that lead to the most enlightening destinations.

[The following was copied and pasted from GPT-4 after I fed it a transcript of a 3 minute ramble I had recorded while walking just now and asked it to turn it into a 2000 word blog in the style of Morgan Housel]

[[I'm not terribly happy with how this turned out, too chopped up, think my custom instructions are messing it up]]

Goodhart's Law for Correlation and Causation: A Journey into Human Misunderstanding

I. Introduction - The Mystery of Measures

The world is a strange place, filled with connections and coincidences. Sometimes we link things together that shouldn't be linked, and that's where the madness begins. Today, we'll take an exploratory journey into human logic and its funny quirks, mainly focusing on Goodhart's Law, correlation, causation, and our knack for getting things spectacularly mixed up.

A. The Charm of Goodhart's Law

Imagine a world where everything we measure becomes our goal. It sounds appealing but leads to disaster, like chasing a rainbow only to find there's no pot of gold. Goodhart's Law says that when a measure becomes a target, it ceases to be a good measure. It's one of those ideas that make you stop and think.

B. The Quirkiness of Correlation vs. Causation

But there's another, equally fascinating concept that dances around human misunderstanding like a mischievous sprite: the confusion between correlation and causation. Just because two things happen together doesn't mean one is causing the other. Let's dig into this more.

II. The Weird World of Correlation and Causation - A Love Story Gone Wrong

A. Correlation vs. Causation: A Definition

In simple terms, correlation means two things move together; causation means one thing makes the other happen. Sounds simple, right? But the human mind loves to jump to conclusions, and that's where things get tangled.

B. Historical Confusions

Throughout history, people have confused correlation with causation, leading to some funny and sometimes tragic mistakes. Let's look at some examples.

III. The Illusion of Correlation - or Why Ice Cream Doesn't Cause Sunburn

A. Ice Cream and Hot Weather: A Delicious Mistake

On hot days, ice cream sales go up. So do sunburns. Does that mean ice cream causes sunburns? Of course not! But it's a classic example of how our minds can link things together in odd ways.

B. Waking Up Early and Success: A Tricky Connection

Here's another one: successful people wake up early. But does waking up early cause success? It's a complex issue, and we'll take a thorough look at why this seemingly obvious connection might not be so clear after all.

IV. Connecting with Goodhart's Law - A Weird Cousins' Reunion

Goodhart's Law and our correlation-causation mix-up might seem like separate issues, but they're like distant cousins, sharing some genetic material.

A. Goodhart's Law Revisited

Let's revisit Goodhart's Law and see how it plays with our main theme. When you target a measure, you distort it. When you target a correlation, thinking it's a cause, you're in for a surprise.

B. The Twisted Logic

This is where things get twisted. People target things thinking they're causes when they're merely correlations. Let's dive deeper into this rabbit hole and see where it leads us.

V. Real-world Applications - or How to Not Mess Up Your Life

A. The CEO Morning Mistake

Think waking up early will make you a CEO? Think again! We'll dissect this myth and understand why it's more complex than it seems.

B. The Diet Trap

Ever tried a celebrity diet? Did it work? We'll explore why copying someone else's diet might not give you the results you desire.

C. The Mystery of Happiness

Can you copy happiness? If happy people do something, does that mean you'll be happy if you do it too? We'll dive into this profound question and try to unravel the mystery.

VI. The Bigger Picture - A View from Thought Mountain

Understanding these ideas gives us a powerful new way to see the world. It's like opening a new door to a room filled with insights and wisdom.

A. Life Lessons

What can we learn from all this? We'll reflect on how these concepts can guide us in our daily lives, careers, and relationships.

B. Future Implications

What might the future hold if we all understood these ideas better? We'll dream a little and look at the potential benefits to society and ourselves.

VII. Conclusion - A Thoughtful Goodbye

Life is a complicated, tangled web of connections and misunderstandings. But we've taken a fascinating journey today, unraveling some of those knots and seeing things a bit more clearly.

Remember, just because two things happen together doesn't mean one is causing the other. It's like a cosmic joke played on the human mind. But now we're in on the secret, and we can laugh along.

Let's take this wisdom into our lives, question what we think we know, and be more thoughtful and intelligent in our choices. The world will be a better place for it, and so will we. The mystery has been unraveled, the journey complete, but the exploration of our own understanding never truly ends. Let's keep questioning, keep exploring, and keep growing, one thought at a time.

[The following was copied and pasted from GPT-4 after I fed it a transcript of a 3 minute ramble I had recorded while walking just now and asked it to turn it into a 3000 word blog in the style of Morgan Housel]

1. Give context

2. Be clear

3. Give examples

4. Outline, review, adapt

Cracking the Code of Communication: The Deep Dive into AI and Human Thought

It's a curious irony of our modern age: as we move deeper into the era of artificial intelligence, we're not just teaching machines – they're teaching us. The growth and proliferation of chatbots and AI, like ChatGPT, serve as an engaging lens through which we can peer into the nature of our own cognition. As we navigate the nuances of programming these systems to be more efficient and effective, we’re gleaning profound insights into human communication, collaboration, and thought.

1. The Indispensable Role of Context

Every technological interaction emphasizes the centrality of context. Feed an AI the preamble, "You're an Algebra 2 teacher," and watch it morph its algorithmic behavior to match that role. It’s not so different from a human being told they're stepping into the shoes of a character in a play, adjusting behavior, tone, and demeanor accordingly.

But why is context so pivotal? 

For humans, context isn't just about setting; it’s about meaning. Imagine being dropped into the middle of a movie without any introduction to the plot, characters, or setting. The dialogues might be the same, the actors equally talented, and the cinematography just as captivating. Yet, the experience is entirely different, sometimes even incomprehensible. Context gives depth, allowing us to navigate complexities with comprehension.

In a broader societal lens, context shapes our understanding of history, culture, and personal interactions. When we miss out on this crucial element, our interpretations can become skewed, leading to misunderstandings and misconceptions.

2. The Crystal Clarity Conundrum

AI, with its reliance on input, thrives on clarity. Ambiguity can lead to skewed outputs, if not complete malfunction. But let's transpose this idea to the human realm.

Humans have a love-hate relationship with clarity. We adore mysteries, riddles, and stories with twists. Yet, when it comes to instruction, guidance, or seeking understanding, clarity becomes paramount. We're creatures who appreciate being led through thought processes, especially when venturing into unfamiliar territory.

In the vast ecosystems of businesses, for instance, clarity in communication can make or break projects. In our personal lives, lack of clarity can strain relationships. There's an elegance in simplicity, a beauty in directness. Whether it's explaining a complex concept to a peer or delivering feedback, the clearer we can be, the less room there is for misinterpretation.

But it’s not just about stripping back words or simplifying sentences. It's about aligning your message with the listener's understanding, ensuring that the core of what you're trying to convey isn't lost in translation.

3. Stepping into the World of Examples

If context is the setting and clarity the path, examples are the signposts guiding the way. Instructing an AI, "Write in the style of Hemingway," offers a tangible template. But why are examples so resonant?

Examples serve multiple purposes. They can validate a point, illustrate a concept, or provide a comparative benchmark. For humans, examples tap into our intrinsic love for stories. From childhood, stories mold our understanding of the world, our morals, our fears, and our ambitions. When someone shares an example, they’re not just offering information; they're weaving a mini-narrative.

In the broader strokes of life, consider how we rely on examples. Case studies in business, historical precedents in politics, or even reviews when shopping. Examples reduce the unknown, providing a bridge from unfamiliarity to understanding.

4. The Chain of Thought Process: The Meta-Thinking Strategy

The step-by-step method – broadly sketching, critiquing, and then delving into details – is akin to a meta-thinking strategy. To see what I mean, Ethan and Lilach Mollick, two professors at Wharton School of Business, give a great example of writing a paragraph in their video series on using AI in the classroom.

Let's unpack why this method is effective, both for machines and humans. 

In the initial phase, creating a broad outline is like sketching a blueprint. It allows for the visualization of the larger structure without getting bogged down by details. Just as an architect wouldn’t start building without a plan, a thinker needs a broad understanding of the concept before diving deep.

The critique phase is where self-awareness comes into play. For humans, it’s a moment of introspection. What are the gaps? What doesn’t fit? What needs more exploration? By identifying these areas early on, the refining process becomes much more targeted.

Finally, delving deep into the details with a revised roadmap ensures a more streamlined approach. It reduces redundancies and ensures that every step taken aligns with the broader vision.

In a human context, this method proves invaluable. Consider project management, content creation, or even personal goal-setting. It’s a strategy that encourages both big-picture thinking and meticulous attention to detail.

In Conclusion: Mirrors and Windows

Engaging with AI systems offers us both a mirror and a window. A mirror, because, as we seek to understand these algorithms, we're inadvertently introspecting into our cognitive patterns. A window, as it offers a glimpse into the potential harmonization of human and machine cognition.

In essence, as we delve deeper into the world of AI and machine learning, we're not just charting the future of technology. We're embarking on a profound journey into the heart of human thought, communication, and collaboration. If we approach this journey with openness, the revelations we unearth could reshape not just our interactions with machines, but with each other.

Today's my last Friday off for summer, and I was thinking about the start of the school year  and I thought it'd be good to get a quick post about teaching Algebra 2 again. 

I love the subject; it's just the right combination of easy and hard, boring and exciting, useless and useful, tediousness and shortcuts. But a lot of students don't like it because it's "hard". Not just the procedures, but the concepts start to become harder too. And most are coming from a relatively easy subject in Algebra 1 and are not prepared for the big jump in difficulty of content that Algebra 2 is.

We try to prepare for this by starting the year off with a review of important Linear Equations topics, something most students know and (somewhat) remember from Algebra 1. Linear equations are easy because linear thinking is easy -- it's predictable, it's consistent, it's just a straight line. We often think linearly, in that you do this, then that, then this happens, then you do that.

But unfortunately, life doesn't happen linearly. We might like to think that it does, but it doesn't. As the movie Prometheus says, "Nature doesn't build in straight lines" (except crystals apparently). Nonlinear thinking is much, much harder than linear thinking, mostly because nonlinearity is harder than linearity -- it's unpredictable sometimes, it's deceiving, it sneaks up on you. And, in my opinion, the biggest reason why students think Algebra 2 is "harder" than Algebra 1, is because of the jump from living in Linear World, to being thrust into the Land of the Nonlinear.

________

Anyways, back to my post. So I did my recent usual process of transcribing my rambling thoughts via Google Docs, and pasted them into GPT-4 asking it to create a blog post, and this is what it came up with:

Title: The Nonlinear Path of Teaching: A Journey into the Complexities of Algebra 2

Being an Algebra 2 teacher is an exciting challenge. It is my eighth year diving into this subject, and each academic year brings its own set of learnings, surprises, and revisions. Teaching this subject has helped me evolve and learn how to navigate through the often complex and intricate world of mathematics.

In the past, students traditionally went from Algebra 1 to Geometry and finally to Algebra 2. This sequence offered a logical progression of concepts, with each year's lessons building upon the last. However, a few years ago, the school district made a change – Algebra 2 was moved ahead of Geometry. This shift had its advantages and its fair share of hurdles.

One of the reasons I favor this change is because the beginning of Algebra 2 mirrors much of what is taught in Algebra 1, serving as a comprehensive review. We revisit concepts like change, slope, and linear equations. We explore the y equals x parent function, different forms of linear equations, and delve into systems of equations. It's a revisit of the fundamentals before we progress to more complex subjects. 

As we dive deeper into systems of equations, we talk about real-life applications, like business. For instance, the idea of 'revenue minus cost' helps students understand concepts like the break-even point. I think it would be beneficial to encourage students to think about setting up a business, considering their desired monthly earnings, and working out the equations accordingly. This kind of project-based learning could be an interactive and engaging way to comprehend systems of equations.

However, there's a flip side to this rearrangement. Algebra 2 is perceived to be more challenging than Geometry. So, when students transition from the relatively easy Algebra 1 to the more complex Algebra 2, and then revert to a somewhat easier subject like Geometry, it changes the learning dynamic.

The shift also brought a change in the student demographic. Previously, I mainly taught sophomores, but with the changes, I see more freshmen in Algebra 2. It may not seem significant, but the difference in maturity between 14 and 15-year-olds can be substantial.

When students enter high school, they often carry the energy of middle schoolers – goofy, unsure, and trying to fit in. However, over time, they begin to emulate their senior peers, evolving in the way they dress, speak, interact with friends, and even in their attitude towards learning. It's important to lean on examples of sophomore maturity over freshman immaturity in class, encouraging positive behavior whenever possible.

In the aftermath of the global pandemic, I have noticed that students' preparation in Algebra 1 and pre-Algebra has been somewhat compromised. This change has led to a reduction in the rigor of my classes, making it difficult to push the curriculum as much as before. The challenge, then, is to gradually increase the rigor, so that the students who may be less prepared can catch up.

High school becomes a serious affair as students transition to junior year. The realization dawns that grades matter, that test scores matter, and suddenly, their attitude towards academics undergoes a transformation. The focus sharpens, and their dedication to homework and test preparation intensifies. Though it is rare to see Juniors in Algebra 2, their serious demeanor and focused attitude permeate the classroom.

Now, let's delve into the crux of Algebra 2. The subject becomes genuinely challenging when we transition from linear subjects to non-linear ones. This is a monumental shift, and one of the reasons why Algebra 2 seems so much harder than Algebra 1. It's difficult for students to make this transition, from linear thinking to nonlinear thinking, because our minds are programmed to project linearly, which is simpler and more intuitive.

We start with quadratics, where we multiply factors to create a quadratic equation. The quadratic formula may initially seem daunting, but with a systematic approach – starting with the discriminant – it becomes less intimidating and easier to grasp.

As we progress to more complex equations like cubics, rational functions, and composite functions, we introduce synthetic division, a more efficient alternative to long division. We also navigate the complicated process of simplifying radicals, a task that students often find hard, given its open-ended nature.

As we move deeper into Algebra 2, we explore exponential equations and introduce logarithms, the inverse of an exponential equation and the key to solving exponential equations. Logarithms are typically a difficult concept for students, but understanding them as the only way to solve for the exponent helps demystify them.

My favorite part of the Algebra 2 curriculum is teaching compound interest, a concept that finds practical application in everyday life. Exponential growth, which underpins compound interest, is a critical concept we encounter more often than linear or quadratic equations. It is a manifestation of the nonlinear world we inhabit.

The challenge with Algebra 2, as I mentioned before, is the shift from linear to nonlinear thinking. As we dive deeper into nonlinear subjects like quadratics, higher-order problems, radicals, and exponentials, it forces us to expand our thinking.

In conclusion, teaching Algebra 2 is both an exciting and complex

________

That's decent, but I just wasn't feeling it for some reason. So I started to make some changes:

Revise the last answer. I didn't like the style. Create an essay in the style of Paul Graham (from Y combinator) and make sure the entire essay implicitly revolves around the central idea that Algebra 2 is harder than Algebra 1 because the students have to jump from linear thinking to nonlinear thinking. And humans aren't good at thinking nonlinearly. And make the essay 3000 words

then

better, but revise that to mention more nonlinear content, and remove the parts about their ages and them switching from algebra 1 to geometry to algebra 2 to now algebra 1 to algebra 2 to geometry. really drive home the focus of the essay: the difficulty of nonlinear thinking

then

better, but revise to remove the part about linear and nonlinear systems of equations, and include more discussion about the nonlinearity of the real world and why this makes Algebra 2 so important, how it sets the foundation for how they'll do in all higher math subjects and understanding compound interest could save you a lot of money in your life. so while Algebra 2 is harder because it's nonlinear, it's so much more important to truly understand and grasp the topics

and it turned into a math-word salad, conveying meaning while lacking any somehow. But it was presentable, and I thought about posting it here, as well as potentially having students read it during the first week of school and critique/discuss etc.

So I had this great thought: "You know what would be cool, if it wasn't so preachy and was more in the form of an older mentor giving you advice. Then students would care more" so I tried one last revision...

better, but revise to make it in the tone of a convincing older brother talking to his high school freshman or sophomore little sibling and trying to offer advice on why they should care about Algebra 2. but make sure to not sound too preachy, we want to be in the tone of an older mentor that cares about them, not a parent that's scolding them

This revision came out so bad and cringey that I knew I had to post it. I doubt that I'll show it to the students though:

Hey, kiddo,

I know math isn't necessarily the most exciting thing in your life right now - trust me, I've been there too. But I wanted to talk to you about something, specifically Algebra 2. I know, I know, sounds dull, right? But stick with me for a moment.

See, Algebra 2 is kind of like that challenging video game level you've been trying to beat for ages. It's a tough nut to crack, way more difficult than Algebra 1. And, yeah, I understand the frustration, especially when you're shifting from the neat world of Algebra 1 - all straightforward and linear - to the more chaotic realm of Algebra 2, where things aren't quite as straightforward. It’s kind of like learning to ride a bike and then suddenly being handed a unicycle. It's a big leap, no question about it. 

In Algebra 2, the equations stop behaving like obedient soldiers marching in straight lines. Instead, they start twisting and turning, mimicking the unpredictability of a roller coaster ride. Parabolas, growth and decay models, logarithmic scales, and those peculiar things called asymptotes - they’re all part of this new, seemingly daunting world. I remember when I first faced these concepts, and I won't lie, it was tough. But, it’s essential, not just for your math education, but for how you view the world. 

You know how life isn’t always predictable, right? Well, that's pretty much how things work outside of the classroom too. You see, the world isn't linear. It's complex and interconnected, much like the concepts in Algebra 2. Whether it’s the spread of a viral video, the growth of your favorite band's popularity, or even the twists and turns of the stock market, it's all nonlinear.

One example that might catch your interest is compound interest - you know, that financial stuff. Imagine you've saved up some money from your summer job. If you understand compound interest, you'd know that it doesn't just increase in a straightforward line. Instead, it grows exponentially, multiplying faster and faster the more you have. And guess what? That's a concept straight from Algebra 2. Understanding this could mean the difference between having just a bit extra cash in the future and a small fortune.

I get it, it's a lot to process. But Algebra 2 is like a key that opens doors to all sorts of cool stuff. It's the foundation for higher math subjects, like calculus and statistics, that are crucial in fields from engineering and physics to game design and computer science. So, if you've ever dreamt about designing your own video game or building a revolutionary app, Algebra 2 is your first step.

I know it seems challenging. It's a massive step up from what you're used to. But trust me, that's what makes it valuable. It teaches you to think in different ways, to embrace complexity, and to tackle ambiguity. It trains your brain to handle the real world, and honestly, that's a superpower.

Look, I'm not saying this to overwhelm you. I just want you to understand why Algebra 2 matters. It’s not some abstract subject designed to torture students, but a tool that helps you understand the world better, handle your finances smartly, and opens up a world of opportunities. So, when you find it challenging, remember it's not just about passing an exam. It's about growing, learning, and preparing for the road ahead.

Remember, every challenge you face is an opportunity to learn and grow. Algebra 2 may seem like a steep mountain now, but once you've conquered it, you'll be able to handle anything life throws at you. Trust me on this one.

You've got this, kid.

[The following was copied and pasted from GPT-4 after I fed it a transcript of a 3 minute ramble I had recorded while walking just now and asked it to turn it into a 1000 word blog in the style of Morgan Housel]

The Art of Wandering: Exploring New Perspectives in Problem-Solving

In the world of problem-solving, the notion of a frontal attack might be the first strategy that comes to mind. It's as if we're a soldier on a battlefield, our focus narrowed to the enemy line, our objective clear and straight. However, this direct approach might not always lead us to the most creative and effective solutions.

David Senra, in his Founders podcast, delves into Paul Graham's essay, "How to do Great Work." He echoes Graham's proposition that some of our best ideas come not from a direct assault on a problem, but from a subtler, more serendipitous approach—letting our minds wander.

The concept of a wandering mind may initially seem counterproductive. Isn't concentration the key to solving problems? However, imagine a small battalion deviating from the main army's path. They aren't aimlessly wandering; instead, they're exploring new routes, looking for uncharted ways to approach their objective. Their mission is the same, but they're open to finding a different, potentially more effective, route.

Similarly, our minds have corners filled with innovative ideas, fresh perspectives, and out-of-the-box solutions. They are often overlooked in the rush of a head-on approach. When we allow our minds to wander, we permit ourselves to venture into these corners, to see our problems from a variety of angles, and potentially stumble upon an unanticipated solution.

This approach isn't about neglecting the task at hand; it's about providing our minds with the liberty to diverge from the main path. This divergence isn't about losing focus; it's about gaining a broader view. It's about recognizing that a problem, like a coin, has more than one face. And often, it's the overlooked sides that hold the key to the solution.

Moreover, a wandering mind is inherently curious. It's always on the lookout for new patterns, different ideas, or untried methods. It's this curiosity that drives creativity, fueling innovation and prompting us to question the status quo. It's what encourages us to ask, "What if there's a better way?" and propels us to seek and create that better way.

There's a certain unpredictability that comes with a wandering mind, a sense of not knowing where our thoughts might lead us. This unpredictability can be a source of apprehension, especially when we're dealing with important problems. But, as Graham's essay suggests, this unpredictability is also a source of immense potential.

Embracing this sense of exploration isn't a call to abandon logic or ignore the parameters of our problems. Instead, it's an invitation to expand our perspective, to consider new angles, and to allow room for innovative solutions. It's about recognizing that the path to resolution isn't always a straight line, but more often a winding road that leads us through unexplored territories.

So, how do we practically apply this approach? We can start by providing ourselves with the space and time to think freely, to step away from our regular environments, and to break from our usual routines. We can engage with different disciplines, people, or experiences, exposing ourselves to new ideas and viewpoints. These new experiences and ideas can trigger unexpected connections, leading us down unexplored paths of thought, and potentially toward more creative and effective solutions.

In conclusion, while a direct, frontal approach might be the most instinctual way to solve problems, it's not always the most effective one. Allowing our minds to wander off the beaten path, to explore the hidden corners of our thoughts, can open up a world of unexpected solutions and creative ideas. So, let's embrace the wandering mind and the unique perspectives it can bring, and we might just find ourselves doing truly great work.

[The following was copied and pasted from GPT-4 after I fed it a transcript of a 3 minute ramble I had recorded while walking just now and asked it to turn it into a 3000 word blog in the style of Morgan Housel]

The Irrational Beauty: Understanding The Golden Ratio

The golden ratio is fascinating, isn't it? The Greeks called it Phi, and mathematicians denoted it with the symbol φ, representing the irrational number approximately 1.618. It's one of those peculiar natural phenomena that we encounter in everyday life without even realizing it. From the architecture of ancient buildings to the proportions of human bodies, this ratio, somehow, intuitively feels 'right.' And, quite amusingly, it is as confusing as it is enthralling.

This mystifying ratio has been the subject of many of my previous discourses. Yet, every time I delve into it, I discover a fresh, mind-bending facet. Today, let's explore the intriguing dichotomy that lies at the heart of the golden ratio - the interplay between its rational appeal and its inherent irrationality.

There's an uncanny quality about the golden ratio. In the seemingly chaotic patterns of nature and life, the golden ratio emerges as an oasis of harmony. Whether it's the spirals of galaxies, the patterns in seashells, or the fractal geometry of fern leaves - the golden ratio is omnipresent. And it is this pervasive presence that imparts a sense of coherence to our otherwise unpredictable surroundings.

Think about it. Isn't it a bit strange that this ratio is universally found appealing? From the Parthenon to the pyramids, ancient civilizations that evolved independently employed this ratio in their architectural marvels. Even today, it's a vital tool for artists, architects, and designers. In essence, this ratio has an intuitive appeal that transcends cultural and temporal boundaries.

Consider physical attractiveness, a subjective quality influenced by various cultural and personal preferences. Despite this subjectivity, there's a general consensus about certain people being universally attractive. The reason? Their facial features adhere to the golden ratio, and this appeal is cross-cultural. Celebrities, influencers, models - their fame hinges, in part, on this universal allure. The golden ratio is, in essence, the mathematics of beauty.

However, there's a peculiar contradiction embedded within this mathematical marvel. While our intuition seems to align harmoniously with the golden ratio, it is, in fact, an irrational number. It can't be expressed as a simple fraction, unlike most numbers we encounter in everyday mathematics. 

Most of us are familiar with irrational numbers, like π (Pi). We use these symbols because they're easier to comprehend than their true forms - infinite, non-repeating decimals. It's quite a paradox, isn't it? This irrational number, φ, which defies our logical understanding of numbers, seems to make the 'most rational sense' to our intuition. 

So, how do we make sense of this conundrum? Here's an irrational number, 1.618, that we can't express as a simple fraction. Yet, it perfectly describes natural growth patterns. It 'feels' correct, looks beautiful, and it's pervasive in nature and human creations. It's as if nature, in its vast randomness, picked this arbitrary number to create a pattern. 

The golden ratio even manages to make its presence felt in the structure of our academic calendar. It was an enlightening discovery when I found out that the average registration time for the next academic year at most universities aligns closely with the golden ratio. Students, generally, enroll for their next courses about 62% into their current semester. It's as if our academic system subconsciously adheres to this irrational yet 'rational' timeline.

What we're dealing with here is a number that does not logically 'fit' into our standard mathematical understanding. It can't be neatly expressed as a simple fraction, and there's no obvious reason why this specific value should hold such significant sway over our natural and aesthetic world. And yet, it does. It 'feels' right, looks right, and pops up all over the place, from human facial features to galaxy spirals.

At its core, the golden ratio is a profound reminder of the interplay between order and chaos, between rationality and irrationality that governs our universe. Its omnipresence signals an inherent order within the apparent randomness of nature. Its aesthetic appeal underscores our deep-seated penchant for symmetry and balance. Yet, its irrationality reminds us of the inescapable complexity and mystique that surrounds our existence.

To wrap up, the golden ratio, this fascinating irrational number, plays a surprisingly 'rational' role in our world. It guides the patterns of growth and decline, governs the aesthetics of beauty, and yet defies our conventional understanding of numbers. 

It's a paradox, a mystery, and a marvel, all rolled into one – a testament to the unfathomable depth of nature's wisdom and a subtle nudge towards recognizing the inherent beauty in life's complexities. The golden ratio is a splendid example of how something so counterintuitive can offer us the most intuitive 'sense' of understanding, harmony, and beauty.

Image prompt: high res Ikigai diagram, exploding with colors

[The following was copied and pasted from GPT-4 after I fed it a transcript of a 3 minute ramble I had recorded while walking just now and asked it to turn it into a 3000 word blog in the style of Morgan Housel]

The Uniqueness of You: One of One

In his latest book, Kevin Kelly, the renowned writer and visionary, discusses an enlightening concept, "You have to be the best one of one." This phrase struck a chord with me, and I couldn't help but ponder the profound implications it holds for our identities, our relationships, and our interactions with society. 

When it comes to standing out, especially in relationships or any social context, we often find ourselves sticking to the pack. We absorb societal norms, adopt predefined identities, and follow in the footsteps of our favorite stars. Yet, as we toe the line between fitting in and standing out, we may lose sight of our individuality.

This is where Kelly's concept of being the "best one of one" comes in handy. In essence, it's about embracing your uniqueness, being yourself unapologetically. It is understanding that, in the grand scheme of things, there is only one you – one Cordero, one Sarah, one John, one of every name, every background, every experience.

This realization may sound straightforward, but it's anything but. We are so deeply entrenched in our social constructs that we forget we're not in competition with anyone else. This isn't a race, nor a battle for attention. It's a journey of self-discovery, and the destination is authenticity. 

Let me share a funny story. I once Googled my name, curious about my digital footprint, and discovered a man named Jarrell Cory, whose first and last names were the exact inverse of mine. It was a peculiar, almost surreal, experience. It was like stumbling upon a mirror reflecting an alternate universe, where my alter-ego lived a different life. But despite the uncanny resemblance in our names, there's only one me and one him, both of us distinct and irreplaceable.

The crux of the matter is this: while it may seem compelling to emulate your role models or adopt an identity – a skater, a sports enthusiast, a tech wizard – you can never fully embody someone else's persona. You are your unique combination of interests, hobbies, experiences, and background.

A wise friend once reframed my perspective on this during a conversation when I was uncertain about my life's path. I had an array of interests but felt directionless. His advice was simple yet profound: "What makes you unique is the collection or combination of interests, not just one particular passion." In essence, it's not about the individual interests but how they come together to form the unique mosaic that is you. 

This notion is reminiscent of the Japanese concept of 'Ikigai,' where you find purpose at the intersection of what you love, what the world needs, what you are good at, and what you can be paid for. Like Ikigai, your identity is at the intersection of your passions, skills, and societal values. It's about embracing your uniqueness and channeling it into something meaningful.

However, in the pursuit of being the "best one of one," it's crucial not to forget that we are simultaneously unique and ordinary. While our experiences and interests make us distinct, they are also universally shared. This duality is what makes life complex and beautiful. 

It's important to acknowledge the shared human experiences that unite us, to learn from others and from history. We can see the reflections of our own experiences in those of others, learn from their triumphs and missteps. But remember, while we share common experiences, how we interpret and respond to these experiences is what sets us apart.

The world is full of people who share our interests. However, it is the unique combination of these interests and how we pursue them that defines us. Like pieces of a puzzle, they come together to form a picture that is uniquely ours. The world may have many 'Corderos,' but there's only one who loves solar energy, behavioral psychology, teaching math to teenagers, coaching volleyball, and working at a brewery. 

We are all unique, not because of our individual interests or experiences but because of how these elements blend together to form who we are. So, it's not about striving to be the best amongst others, but about being the best version of yourself.

To quote Kevin Kelly, "The goal in life is when you die, you are uniquely yourself." This encapsulates the essence of being the "best one of one." Life is about becoming who you are meant to be, authentically and unapologetically. It's about recognizing and embracing our uniqueness and using it to make a difference in our lives and the lives of others. 

So, here's my advice: Lean into your uniqueness. Don't view yourself in competition with others, but focus on being uniquely you. You are the best "one of one" there is, and there's nothing more special than that.

[The following was copied and pasted from GPT-4 after I fed it a transcript of a 3 minute ramble I had recorded while walking just now and asked it to turn it into a 3000 word blog in the style of Morgan Housel]

The Dialectics of Dreams: Reconciling Expectations with Reality and The Pursuit of Wisdom

As I sit here today, my thoughts are punctuated by moments of introspection. I find myself questioning the choices I've made - my career path, the dreams I've pursued, and the roles I've played. I believe I could have been successful in numerous jobs, despite a few limitations. For instance, sales has never really been my forte, unless it was something I wholeheartedly believed in.

I’ve pondered about my personality traits that held me back from adopting the go-getter attitude usually associated with entrepreneurship. It might seem ironic that someone who's spent a significant portion of his life theorizing about leadership and entrepreneurship would hesitate to assume these roles himself. It's not that I lack aspiration or ambition. It's more of a disconnect between ambition and the actual effort required to fulfill it, a chasm that I've struggled to bridge.

In retrospect, I recall my younger self being smitten with the idea of becoming a high-profile CEO or even a president. But as I grew older, these aspirations began to fade, replaced by the realization that I never truly desired them. They were just ideas I romanticized but had no genuine passion for.

So, how did I arrive at this realization? Time, experience, and maturity. Perhaps that is the essence of maturity – the ability to reinterpret the same situation through a lens colored by lived experiences.

Now, when I ponder about the roads not taken, what I'm truly exploring is the gap between expectations and reality. It’s a common narrative – a child dreams of becoming the President, an astronaut, or a movie star. But as life unfolds, the child – now an adult – finds themselves in an entirely different reality. This discrepancy can breed discontentment, leading to an unhappy existence.

A particular predicament confronts those with high expectations of themselves. They run the risk of a lifetime of unhappiness unless they learn to balance their lofty aspirations with more grounded, realistic goals. However, this brings us to an inherent paradox: if our goals are too realistic, we risk never achieving anything remarkable.

The paradox of success then is this: To attain extraordinary success, you need to possess an almost absurd level of self-belief and commitment to your cause. Yet, this unyielding belief can also be your undoing. It can trigger confirmation bias, making you perceive things that aren't there. It can make you take risks that, in hindsight, seem foolish. It blinds you with a relentless focus on what could have been. 

Yet, without this rock-solid belief in your ability to make it, the journey becomes daunting, filled with insurmountable obstacles. You need to know when to listen to your inner voice, when to press on and when to let go. This understanding often comes from lived experiences and the wisdom gleaned from applying knowledge in the real world.

Knowledge, in my opinion, is the product of ideas and action. You can have a mind brimming with ideas, but without action, those ideas are as good as non-existent. They exist only as potential energy, waiting to be converted into kinetic energy through action.

However, to transform knowledge into wisdom, you need to add another variable into the mix – the environment. The environment represents everything outside of your control, and it is here where wisdom is born. Wisdom is essentially the residue of your lived experiences, shaped and molded by the world outside your head.

Therefore, the equation would look something like this: Ideas (multiplied by) Action (multiplied by) Environment = Wisdom.

Without testing your knowledge against the real world, learning becomes stagnant. No matter how great your ideas are or how decisive your actions, they remain inadequate if not subjected to external influences. For your feedback to be representative of the real world, it needs to engage with the world outside your head. You need to adapt, become resilient, and learn from the external environment. That is wisdom – it extends beyond mere knowledge.

This wisdom, earned from the crucible of lived experiences, allows us to reconcile our dreams with our reality. It helps us realize that while we could be good at many things, we don't necessarily want to pursue all of them. It teaches us to identify our true desires and understand how they align with our pursuit of happiness.

In the end, our ultimate happiness doesn't stem from achieving every possible goal or fulfilling every latent potential. It comes from understanding ourselves, our desires, and our limitations. It comes from finding the delicate balance between our aspirations and our abilities. It comes from knowing when to hold on and when to let go.

The truth is, we can dream a thousand dreams and have a hundred different lives in our minds. But in the end, the life we lead is the one that resonates with our soul. It's the one where expectations align with reality, where dreams meet wisdom. And it's in this life where we find not just success, but fulfillment and happiness as well.

Image prompt: The nervousness and excitement of picking your own seat on the first day of school, in the style of basquiat

[The following was copied and pasted from GPT-4 after I fed it a transcript of a 3 minute ramble I had recorded while walking just now and asked it to turn it into a 1500 word blog in the style of Morgan Housel]

The Classroom's Silent Language: Decoding Student Interactions Through Seating Choices

Picture the first day of school: a classroom filled with anticipation and a tinge of chaos as students scramble to choose their seats. As a teacher, you might be tempted to assign places, believing it would be easier and more orderly. Yet, there's something to be said about the valuable insights you could gather by allowing students the freedom to choose their seats.

Imagine the scene: students trickle in, carrying with them a sense of excitement and perhaps a touch of nervousness. Some quickly gravitate towards their friends, claiming a territory with their backpacks, while others seek out a solitary spot, possibly on the classroom's edges. As you watch this spontaneous dance, it's tempting to label it as pure chaos. But is it really? 

In reality, this seemingly simple act of choosing seats could offer an unprecedented peek into the social dynamics of your students. It might appear a little chaotic initially, but remember: chaos can be instructive.

Let's dive deeper. The act of choosing a seat isn't as random as it might first appear. It’s influenced by factors such as personality traits, social networks, and personal preferences. The social butterfly finds comfort among her chatty friends in the center of the classroom, while the introvert prefers the quiet corners where he can observe without being overwhelmed. 

The seating arrangement can act like an unspoken map of your class’s social fabric. It can reveal the talkative ones, the group of friends who feed off each other's energy, and who may disrupt the class with their constant banter. It unveils the energetic extroverts and the quiet introverts who would rather listen than participate in discussions. It even shows you those who prefer to be alone, comfortably ensconced in solitude. 

What's more, it could even disclose budding friendships or romances. You can tell who's interested in whom, not through hearsay, but by observing subtle interactions. Some students, under the guise of playful teasing or budding friendships, might be signaling a deeper interest. All these silent signals are there, ready to be interpreted.

You might ask why this is important. After all, isn't teaching about imparting knowledge, not playing social detective? The truth is, understanding your students' social dynamics can enrich your teaching strategies. You become aware of who needs encouragement to step out of their shell, which group might need separation to maintain class discipline, or who might need a little nudge towards social interaction. 

Understanding these dynamics also helps build empathy, giving you insight into the diverse personalities that make up your class. It helps you appreciate the unique challenges and strengths each student brings to the table and can guide you in tailoring your teaching style to best suit the varied needs of your students.

Naturally, these insights might reveal themselves over the course of the academic year, but it would require a significant amount of observation and specialized questioning. Why wait when you can gain immediate understanding? Letting your students choose their seats in the first week can accelerate this process, offering valuable clues right at the start.

You might wonder if such an approach would work in every classroom, given the diverse cultural and socio-economic factors at play. That's a fair point. This method may not provide universal insights, as student behavior can vary widely based on numerous factors. But as a general rule, our actions tend to reveal our inclinations, and in the context of a classroom, this is no different. 

In the end, the wisdom lies in the observation, in the willingness to understand the silent language spoken through seating arrangements and the interactions that unfold around them. As a teacher, your role extends beyond providing knowledge; it includes understanding your students, facilitating a conducive environment for learning, and helping them navigate their social world.

So, on the first day of school, let the chaos unfold. Stand back and watch as your students pick their spots. It may seem like a small act, but it's a window into their world. And who knows? The insights you gain may transform your teaching and make your classroom a more effective, empathetic, and engaging space for learning.

[The following was copied and pasted from GPT-4 after I fed it a transcript of a 3 minute ramble I had recorded while walking just now and asked it to turn it into a 1500 word blog in the style of Morgan Housel]

Consistency Equals Truth: The Power of Habits and Identity

"We are what we repeatedly do. Excellence, then, is not an act, but a habit." While these words are often attributed to the ancient Greek philosopher Aristotle, their origins are somewhat disputed. Regardless of the source, however, the essence of this statement is timeless. It resonates with a fundamental truth about human behavior and personal growth that I've come to believe deeply in: the idea that consistency equals truth.

When we consider our identities, the concept of consistency becomes critical. Let's say you regard yourself as a fitness enthusiast or a healthy eater. But how can we ascertain if this is indeed true? The answer lies not in what we say, but in what we consistently do. If you regularly visit the gym, follow a nutritious diet, and maintain a healthy lifestyle, then you truly are a fitness enthusiast.

The best-selling author James Clear explains this concept eloquently in his writings on habit formation and identity change. According to Clear, transforming your identity starts with shifting from someone who doesn't perform a specific action to someone who does, even just a couple of times a week. When you consistently engage in that activity, you start to see yourself as a person who does it regularly.

For instance, if you consistently exercise, over time, you naturally adopt the identity of a person who works out. This change in self-perception makes maintaining the habit of working out easier. This identity-habit loop reinforces itself. You perceive yourself as a fitness enthusiast because you work out, and you work out because you see yourself as a fitness enthusiast.

However, it's not just positive habits and identities that operate this way. The same principle applies to negative ones. If you consistently find yourself in unhealthy relationships, over time, you might start to identify as someone who is always attracting the wrong kind of partners. This self-perception can inadvertently lead you to repeat the same pattern, reinforcing the negative habit and strengthening the unwanted identity.

One of the ways our brain upholds our identities, both positive and negative, is through the power of confirmation bias. This cognitive bias causes us to gravitate towards information and experiences that affirm our existing beliefs and identities. Robert Cialdini, renowned social psychologist and author, discusses this in his book, Influence. One of the six major categories of influence he identifies is consistency. The desire to remain consistent is a powerful motivator in human behavior, so much so that once we commit to a small action that aligns with a particular identity, we're more likely to follow through with larger, related actions.

In essence, our actions are the yardstick by which we measure the authenticity of our identities. By consistently acting in alignment with a chosen identity, we validate it. It's not enough to just say who we are or what we do. Consistency in action is the only real proof.

This idea has far-reaching implications, extending beyond our personal habits and identities to the realm of technological advancement and societal trust. The concept of a distributed ledger system or 'blockchain' is a prime example. Blockchain technology provides a transparent and tamper-proof record of transactions validated by multiple independent parties, ensuring automatic trust. 

In a future shaped by blockchain technology, actions will be consistently and independently verified, reinforcing trust through verifiable consistency. The trust generated through blockchain comes not from faith in a central authority, but from the transparent and persistent consistency of the system itself. As blockchain technology becomes more prevalent, we might see it becoming a standard mode of data storage, driving trust in new and transformative ways.

In the end, the equation is simple: Consistency equals truth. By repeating a set of actions or behaviors, we build and reinforce specific identities. The more consistently we act in alignment with a chosen identity, the stronger that identity becomes. Whether it's about becoming a fitness enthusiast or trusting a blockchain network, the principle remains the same. It is through the power of consistency that we build our truths. Understanding this can help us shape our identities, our habits, and ultimately, our lives.

Image prompt: Van goghs starry night but the night sky is filled with dark storms and lightning

[The following was copied and pasted from GPT-4 after I fed it a transcript of a 3 minute ramble I had recorded while walking just now and asked it to turn it into a 1500 word blog in the style of Morgan Housel]

Energy in the Air: The Intensifying Cycle of Climate Change and Storms

The world is full of simple truths hidden beneath the surface of complex phenomena. One such truth, as pertinent as it is alarming, concerns the relationship between climate change and the increasing intensity of storms. The explanation for this relationship is deeply rooted in physics, but at its heart, it's as simple as understanding that more energy results in more heat.

To grasp this concept fully, we need to comprehend the role of energy in our atmosphere. Air isn't just a life-sustaining mix of oxygen, nitrogen, and a few other gases; it's also a reservoir of energy. When we speak about more 'energy in the air,' we are referring to the capacity of the air to do work, to cause change. This energy can be manifested as heat, motion, or even the potential to create these states.

One aspect of climate change is a steady rise in global temperatures, a phenomenon you might know as global warming. In essence, we are pumping more and more energy into the Earth's system, which, in turn, raises the Earth's temperature. The hotter the air, the more energy it has. This energy needs to go somewhere, and that's when things get stormy.

The thing with storms, whether thunderstorms, hurricanes, or tornadoes, is that they are fundamentally giant energy release systems. The energy packed into hot, humid air becomes the fuel for these violent climatic events. It's a simple relationship: the more energy available, the more intense the storm. This energy creates stronger winds, heavier rainfall, and, unfortunately, more destruction.

Kansas City, for example, recently witnessed this reality first-hand. A so-called 'routine thunderstorm' turned destructive, resulting in a record number of tree damages. The power company noted that the storm had produced winds up to 70 mph, a testament to the increasing energy in our atmosphere.

With global warming trending upwards, the oceans are heating, ice caps are melting, and we are essentially stuck in an escalating loop. The more the earth warms, the more energy is available, which in turn fuels more violent storms. This pattern predicts more than just an increase in the frequency of such storms; it foretells an increase in their intensity.

We can see this in the hurricane seasons as well. Warmer oceans provide more energy, leading to larger, more powerful hurricanes. As these storms grow stronger, they also become more destructive, causing increased damage, especially when property values are consistently rising.

The recent hailstorm near Venice, Italy, serves as another example of this alarming trend. It wasn't just another storm; it was a violent display of the increasing energy within our atmosphere.

What makes these storms particularly dangerous is the difference - or disparity - in energy levels that can occur within them. When a cold front moves through a high-energy, warm air mass, the difference in energy levels can create violently unstable conditions. This disparity is often where tornadoes form. It's the 'front line' of the storm, where the transition from hot to cold happens. The larger the gap between the hot and cold - the greater the energy difference - the more violent the resulting storm.

And it's not just tornadoes. In the west, the risk of wildfires is also escalating. Hotter, drier conditions provide more fuel for these fires, resulting in larger, more destructive wildfires that cause widespread devastation.

The threat of climate change is not that we're all going to roast as the earth heats up by a few degrees. The real threat lies in the rising frequency and intensity of storms and natural disasters. The shifts in our weather patterns are becoming more erratic, with storms occurring out of season and natural disaster records being shattered regularly. The energy increase in the atmosphere leads to more violent storms, a larger disparity in energy levels, and ultimately, more frequent and unpredictable weather events.

In summary, the chain of events goes like this: more energy leads to more heat, more heat leads to more intense storms, and more intense storms lead to more damage and destruction. It's a simple, if unsettling, truth. It's the story of how energy in the air becomes a tempest on the ground. As we continue to grapple with the effects of climate change, understanding this basic relationship can help us prepare for what's to come and, hopefully, inspire us to change our course.

[The following was copied and pasted from GPT-4 after I fed it a transcript of a 3 minute ramble I had recorded while walking just now and asked it to turn it into a 2000 word blog in the style of Morgan Housel]

The Multiplicative Power of Words: Prefixes as Mathematical Coefficients

Life's profundity often lies in simplicity, in the way we can draw parallels between seemingly unrelated disciplines. Let's look at language and mathematics. You might not think these two have much in common – after all, one is the art of communication, the other is the science of numbers. But if you look closer, you'll see a striking similarity: both hinge on the concept of components combining to form something greater than their individual parts.

Words, for instance, are not just a random collection of letters. They carry meaning, context, and emotion. When we connect them to form sentences, the relationship is not simply additive; it's multiplicative. The whole conveys a meaning that exceeds the sum of its parts. That’s where we see the magic of language.

To further illustrate this point, let's dive into prefixes. These little attachments at the beginning of words might seem insignificant, but their power is immense. They are much like coefficients in algebra. A coefficient can flip a positive to a negative, amplify an effect, or diminish it. Similarly, a prefix can change a word's entire meaning, turning it into its antithesis, or intensifying it. 

Think about the prefix "dis-", for example. Slap it onto 'interested', and you get 'disinterested' – the exact opposite. Attach it to 'cover', and you've just 'discovered' something previously hidden. It's not an additive function; it's multiplicative, as it transforms the word's core meaning. 

This logic can also be applied to reflection in mathematical graphing. A reflection over the x-axis is akin to prefixing a word with "dis-"; it flips the output's sign without altering the input. It's essentially changing the coefficient on one side of the equation.

Consider the phrase, "I am interested." In a mathematical form, let's represent it as y = x. Now, if you dis- the interest, you get, "I am disinterested," or y = -x, the equivalent of a reflection over the x-axis.

This relationship, however, is not as straightforward when we consider reflecting over the y-axis. In this case, the coefficient on the other side of the equal sign changes. The phrase "The opposite of me would be interested" could be represented as -y = x, essentially indicating a change in the perspective of the speaker rather than their state of interest.

All prefixes function as mathematical coefficients, altering the 'slope' of a word's meaning. "Hyperinflation" denotes an extreme degree of inflation, much more than 'inflation' itself. And 'deflation' is the converse. These aren't merely additive relationships; the prefix is working multiplicatively to modulate the word's impact.

Let's assign numerical coefficients to some common prefixes, treating them as multipliers:

- Co- (with) = 1: Co-worker, co-operation

- Em-, en- (cause to) = 2: Embrace, embed

- Extra- (beyond) = 3: Extraordinary, extra-terrestrial

- Dis- (opposite of, not) = -1: Disagree, disapprove

- Anti- (against) = -2: Antidepressant, antisocial

- Non- (without, not) = 0: Nonsense, nonentity

Now consider these prefixes applied to a word. 'Operate' on its own has a certain weight. Co-operate (1 x operate), indicating collaborative operation, doesn't change the basic action but adds a layer of complexity. Disoperate (-1 x operate) would imply the cessation or reversal of the operation. Nonoperate (0 x operate), in contrast, suggests a complete absence of operation. 

Interestingly, these coefficients can also denote sequences or positions in space:

- Pre- (before) = -1: Prefix, pre-intermediate

- Post- (after) = 1: Post-mortem, postpone

- Circum- (around) = 360: Circumvent, circumnavigate

Here, 'fix' as a standalone word means to attach or fasten. Pre-fixing it, we have pre-fix (-1 x fix), suggesting attaching something before the primary subject. Post-fixing (1 x fix), conversely, means attaching something after. Circumfixing (360 x fix) would imply fastening around, completely encircling the subject.

Language, like mathematics, is built on relationships. Words interact multiplicatively, just as numbers do, resulting in complex patterns of meaning that are not immediately apparent. It's a simple concept with profound implications, a testament to the power of both language and mathematics.

Our lives are filled with these multipliers. The key is recognizing them and understanding their power. Whether it's the tiny prefix that dramatically alters the meaning of a word or the tiny decisions that steer the course of our lives, it's a multiplication game. So, the next time you use a prefix or make a small choice, remember – you're wielding a powerful multiplier.

[The following was copied and pasted from GPT-4 after I fed it a transcript of a 3 minute ramble I had recorded while walking just now and asked it to turn it into a 2000 word blog in the style of Morgan Housel]

The Rhythm of Everything: A Sinusoidal Perspective

A philosopher once said, “Change is the only constant in life.” However, as I delved deeper into this concept, I began to see a more nuanced pattern, something more rhythmical, oscillating – everything that lasts is sinusoidal.

Picture an AC (Alternating Current) voltage. It's not constant but varies between positive and negative poles. The peculiar thing is that AC voltage travels further than its steady cousin, Direct Current (DC), and does so with more efficiency. This sinusoidal rhythm can be seen across nature and life as well. Everything oscillates – from the seasons, day and night, to the ebbs and flows of our emotions. The very beat of our heart follows this pattern, contracting and relaxing in a rhythm that sustains our life.

This oscillatory pattern – an 'on-off' rhythmic dance – is evident in everything that withstands time and change. Sunlight doesn't always shine with the same intensity or wavelength. It oscillates throughout the day and across the year, altering its intensity and the wavelengths it emits. Like our world, our lives too are filled with highs and lows, work and rest, successes and failures – our very existence is sinusoidal.

Let's consider the intriguing parallel between a sinusoidal wave and a calendar. When we kick off a new year, we set intentions and resolutions, each acting as individual waveforms of what we wish to achieve. But as the year progresses, we often find ourselves deviating from these initial amplitudes. Life throws curveballs, distractions surface, and we end up getting out of phase with our goals. This is when our clear signals turn into noise, muddying our vision and making it difficult to find the path forward.

The magic of January 1st is in its universality, the collective “reset” it provides. It allows us to re-sync with our intentions and with each other, to phase shift our wavelengths back to where we wish them to be. While each of us may be out of phase by different amounts, every January 1st gives us the opportunity to bring our lives back into rhythm, to align our goals and aspirations with the phase of the new year.

Every lasting marriage, every triumphant leader, every successful person has ridden these waves, going through highs and lows. It might seem like the current phase will persist forever, for better or worse, but the wisdom lies in recognizing that it won't. The sun does not always shine with the same intensity, nor does it remain hidden behind clouds perpetually. It oscillates, giving us periods of light and darkness. This is the beauty of the sinusoidal pattern – it assures us that change is imminent.

The term 'resonance' takes on a new meaning when viewed from this lens. When we say we 'resonate' with something, we imply we're in tune with its frequency, rhythmically aligned with it. A hobby, a piece of music, or even a relationship can resonate with us, indicating we are 'synced' with its frequency, and thus it can keep our interest alive for an extended period.

The sinusoidal pattern is more than a mere mathematical curve. It's a representation of life and its oscillations. It highlights how, like the universe itself, we oscillate between phases, but, crucially, we always return. This constant rhythm offers comfort. It provides reassurance that while we will face adversities, we will also have moments of joy, that after every dusk, there will indeed be a dawn. 

Like the AC voltage that can travel long distances due to its sinusoidal nature, our ability to withstand the tests of time lies in our embracing of this rhythm. Recognizing and respecting this rhythm can enable us to navigate through life with more grace and understanding. Life is not a straight line; it's an infinite series of sine waves, each representing a different aspect of our journey. This perspective can empower us to celebrate the highs, weather the lows, and find harmony in this beautiful, sinusoidal symphony of life. 

So, as we step into a new year, remember, we're not just turning a page on a calendar. We're aligning our wavelengths, resetting our phase to embark on another oscillatory journey around the sun. The rhythm of the universe is within us, and every January 1st, we get a chance to tune into it once again. 

And as we oscillate through another year, we'll find that in life, like in nature and the universe, everything that lasts is beautifully, rhythmically sinusoidal.

Image prompt: Ice cool math teacher, in the style of batman cartoons

[The following was copied and pasted from GPT-4 after I fed it a transcript of a 3 minute ramble I had recorded while walking just now and asked it to turn it into a 2000 word blog in the style of Morgan Housel]

When you're young, "cool" is often synonymous with "popular" or "trendy". It's the kind of attractiveness that induces a sense of awe in others, the kind of charisma that turns heads, the kind of charm that makes you the center of attention. But as you grow older, your definition of "cool" evolves. For me, "cool" became about making a difference, about giving back, about helping others grow and learn. And in that sense, the coolest thing I've ever done, and continue to do, is teaching.

When I was a student, I always thought teachers were cool. Not because they were popular or trendy, but because they were molding young minds, preparing us for the future, sharing their knowledge and wisdom. They were doing it not for the fame or the money – because let's face it, teaching isn't the most glamorous or high-paying job – but because they believed in the value of their work. The enormity of their responsibility was awe-inspiring, and the humility with which they embraced it was truly cool.

Eight years into my teaching career, I still believe teaching is the coolest thing I've ever done. After three years, I took a break and contemplated shifting my career to become a data analyst or a college counselor. But the pull of teaching was too strong to resist. Like the old saying goes, "if you love something, set it free. If it comes back, it’s yours." That’s exactly how I felt about teaching. Despite the challenges, the sense of fulfillment and purpose it offered was unparalleled.

Now, teaching high school math, I find joy in taking something I understand and love, and breaking it down into comprehensible pieces for my students. Sure, math can be intimidating, and many students struggle with relating mathematical concepts to real life. But that's precisely the challenge and beauty of teaching it. When you can draw connections between abstract formulas and daily life, when you can ignite a spark of interest in a student who previously dreaded math, it feels like you're doing something truly cool.

Math is not merely about numbers and formulas; it's a mindset, a life skill. It encourages logical thinking and problem-solving, it cultivates precision and attention to detail. Math is about learning from mistakes, improving, and evolving – skills that are as valuable in life as they are in the classroom. 

One of my favorite equations is knowledge equals ideas times action. It's a simple equation, but it carries profound implications. If you have no ideas, no matter how much action you take, your knowledge will be zero because anything multiplied by zero is zero. On the other hand, if you have great ideas but take no action, your knowledge will still be zero. Only when you both have great ideas and take great actions can you multiply and gain substantial knowledge. I think this is a perfect illustration of the applicability of math in our daily lives and a testament to its coolness.

Teaching has allowed me to transform my passion for math into a means to inspire and motivate others. When I see my students understand a concept, when I see the spark of curiosity in their eyes, when I see them applying what they learned in real-life situations, I feel like I'm part of something bigger. That sense of contributing to the growth and development of others, the ability to positively impact their lives, is incredibly cool.

In the grand scheme of things, teaching may not be considered cool by conventional standards. But the satisfaction it brings, the changes it can spark, and the lives it can touch makes it one of the coolest things anyone can do. The version of me who sat in a classroom all those years ago could never have imagined the immense joy and fulfillment that teaching would bring. But now, as I stand at the front of the classroom, watching my students learn, grow, and succeed, I can confidently say that teaching math is the coolest thing I've ever done, and continue to do.

As we navigate life, our perspectives and priorities evolve. And along the way, our definitions of cool evolve too. For me, "cool" is about making a difference, about giving back, about helping others grow and learn. It's about using my passion for math to inspire others, to help them see the beauty and relevance of numbers and formulas in their daily lives. It's about being part of something bigger than myself. And for that, I wouldn't trade my job for anything else in the world.

Remember, the most rewarding paths often aren't the most glamorous. Sometimes, they're the ones that let you touch lives and make a difference. And in the end, isn't that the coolest thing of all?

[The following was copied and pasted from GPT-4 after I fed it a transcript of a 3 minute ramble I had recorded while walking just now and asked it to turn it into a 2000 word blog in the style of Morgan Housel]

At the heart of life, in the fabric of the universe, and in the workings of our daily lives, there's one constant: the ratio. It's a simple yet incredibly powerful concept. But first, let's clear the air about what a ratio is. In mathematics, a ratio is a comparison between two numbers, illustrating how many times one value is contained within another. Essentially, it's the slope of a line - a change measured in terms of division. Consider a slope of five: it means for every step we move to the right, we take five steps upwards. The fascinating thing about ratios is that they can represent two different things: a slope of five upwards and one to the right is essentially the same as a slope of five downwards and one to the left - positive over positive, negative over negative, they're the same thing.

But ratios aren't just about mathematical comparisons; they're about balance and proportion. The golden ratio, known by the Greek letter 'phi' and approximated as 1.618, is a perfect example. It pops up in numerous aspects of the natural world - in the patterns of a pine cone, the spiral of a galaxy, and even in the proportions of the human body. Often, what we perceive as 'beauty' aligns with the golden ratio - but why? The magic of this number doesn't lie in its value, but in the equation from which it originates: x^2 equals x + 1. From this equation, we derive the golden ratio via the quadratic formula, illustrating that ratios underpin not just numbers, but also harmony and aesthetics.

The concept of ratios extends to our everyday lives, too, shaping our behavior, goals, and relationships. It's the ratio of work to play, for instance. Some people might favor a ratio of five-to-one, where work far outstrips leisure. They might be ambitious individuals aiming for that corner office, relentless in their pursuit of career success. But others might prefer the inverse - a one-to-ten ratio, where relaxation reigns supreme. Or even, the 'negative ten', a tongue-in-cheek reference to those who are most content when work is a last resort, not a priority.

In every case, these ratios are a reflection of our personal values and aspirations. They inform how we allocate the most precious resource we have: our time.

You might wonder, aren't ratios just about division or multiplication? Well, yes and no. While they're essentially a mathematical tool, ratios go beyond numbers. They capture the essence of life's ebb and flow - they reflect our choices and priorities.

Consider the ratio of your attention. Where you dedicate your attention determines what becomes important in your life. We attach meaning to what we focus on - so the ratio of attention between different aspects of our lives is instrumental in shaping our experiences and our identity.

Ratios are even key to our relationships. Take, for example, the ratio of arguments to peaceful interactions. It's a simple number that can have profound implications for the health and longevity of a relationship.

In a world that often favors complexity, it's easy to overlook the simple power of ratios. But as we've seen, they are fundamental to so much of what defines our universe and our lives - from the spirals of galaxies to the rhythm of our daily routine.

Ratios reveal the beauty in balance and proportion. They guide us in our allocation of time and attention. They measure the health of our relationships. Even our bodies adhere to certain ratios considered aesthetically pleasing.

In essence, the humble ratio is a universal language, whispering the secrets of beauty, balance, and harmony. They have opposites, inverses, and negatives. They are simple, yet they hold the answers to complex questions. They are static, yet they encapsulate the dynamic ebb and flow of life. They are mathematical, yet they are intrinsically tied to our emotions, our decisions, our very existence.

So, the next time you're making a decision, consider the ratio. Whether it's how you spend your time, where you direct your attention, or how you balance work and play - remember that it's all about the ratios. The secret to balance, harmony, and even beauty lies in these simple proportions.

In conclusion, ratios may just be numbers, but their value is immeasurable. They offer insight, bring clarity, and provide a framework to understand the world around us and the lives we lead. Ratios, in their elegant simplicity, are a testament to the intricate complexity of life.

Image prompt: Centaur, but part human part AI

[The following was copied and pasted from GPT-4 after I fed it a transcript of a 3 minute ramble I had recorded while walking just now and asked it to turn it into a 1000 word blog in the style of Morgan Housel]

(Untitled)

The arrival of AI and advanced technologies such as GPT-4 often stirs up a wave of debate, as people grapple with the question: How will this new, potentially disruptive technology affect our lives, our professions, and indeed, our very existence? We, as humans, tend to grapple with uncertainty by seeking examples from the past to inform our understanding of the present and future. A time-tested approach, indeed. 

So, to understand our relationship with AI, let's revisit a pivotal moment in history: the moment when a computer first beat a human in chess.

In 1997, chess grandmaster Garry Kasparov famously lost a match to IBM's Deep Blue, marking the first time a reigning world chess champion had been defeated by a machine. This event signaled the dawn of a new era, where AI had demonstrated its capacity to outmaneuver human intelligence in a highly strategic game.

A similar scenario played out a couple of decades later when AlphaGo, an AI developed by DeepMind, managed to beat a human champion at Go, a board game considered even more complex than chess.

In these instances, AI showed us its potential - its ability to simulate, even surpass, human intellect in specific contexts. However, it's what happened next that's truly fascinating.

After their initial defeats, chess players didn't throw in the towel. Instead, they began to learn from AI, using it as a tool to improve their strategies. I first encountered this idea in a book called "Game Plan" by Frank DuPont, who writes under the Twitter handle @fantasy_douche. DuPont's work delves into the intersection of technology and sports strategy, revealing how decision-making in football, for instance, could benefit from technological insights.

His book also sheds light on the evolution of chess players in the wake of AI. Players began using AI as a tutor, exploring different scenarios, learning from the moves the AI proposed. And guess what? The players improved. Their game became stronger, sharper, better. They began working *with* the AI, not against it. They embraced the technology and leveraged it to their advantage.

Think about it: the introduction of calculators did not end math. Instead, they transformed the way we approached calculations, aiding us in complex equations and improving our overall efficiency. Similarly, the advent of AI does not signal the end of human intelligence, but rather a new partnership.

Some refer to this hybrid of man and machine as "centaurs" - creatures from mythology that are half human, half beast. It is a powerful metaphor for our potential coexistence with AI. Just as a centaur combines the strength of a horse with the intellect of a human, the human-AI partnership can merge the raw processing power of machines with the creativity, empathy, and nuanced understanding of humans.

As we navigate the era of GPT-4, we stand at a similar crossroads. Will we fear AI, fight against it, or will we embrace it, learn from it, and use it to our advantage? 

History has shown us that working with AI, instead of resisting it, has the potential to significantly enhance our abilities. By becoming 'centaurs' in our modern world, we can harness the power of AI to not only augment our professional lives but also to create a harmonious future where technology and humanity coexist, each enhancing the other.

The AI revolution, in all its disruption and uncertainty, offers us an incredible opportunity - a chance to expand our horizons, elevate our capabilities, and navigate complex challenges. 

In essence, our task is not to outsmart AI, but to use it as a tool to better ourselves. As we stand on the brink of a new era, we have the chance to harness this powerful technology

I previously wrote about how I used (and am still using) GPT-4 to do a curriculum review. I did that review for my Algebra 2 course and I did the new curriculum plan on a new Statistics/Probability course. Unfortunately this means no more teaching Calculus :( but it was a good run. I love the subject, it's so interesting to me in how it describes real life, so it'll be missed but I might just put my lessons online. That way someone else could use them or learn from them, hmm...

In the meantime, I wanted to show you an example of how I would be reviewing and revising my Calculus presentation slides before teaching it again, if I were teaching it. Here's my first lesson of the year (after prerequisites) on introducing the concept of a limit:  https://docs.google.com/presentation/d/1XwtgxMmjtSYJ59Z1C4STCjXu5PL-k7u4JEpnM69W4Vk/edit?usp=sharing

For the following examples, my prompts to GPT-4 with plugins Wolfram Alpha and LinkReader are bolded and GPT's answers are not.

To reimagine the presentation with the help of GPT-4, I first did this prompt:

Let's go through the presentation linked below together.

First, start by summarizing the key points from the presentation. After that, proceed through the presentation and summarize the main learnings from it. Finally, provide an enticing overall summary, make it compelling for the reader, and suggest ways to improve the presentation.

Second, critique your own summary. Does it accurately reflect the main points of the presentation? Is it compelling enough to make someone want to read the presentation? What improvements can be made to the summary?

Third, imagine how experts in math pedagogy and teaching, like Jo Boaler and Sal Khan, would summarize and critique this linked presentation. What key points would they focus on? What aspects of the presentation might they suggest to improve for better understanding?

Finally, synthesize all of those points above into one coherent and beautiful answer. Then provide your 3 biggest improvements you would make to either the flow of information or to the presentation to improve the student's understanding of the topic and include 3 examples of each of the improvements.

The linked presentation is:

with the Google Slides link I shared before. The results of that prompt was:

**Summary of the Presentation**

The presentation titled "Limits: Intro to Limits" by Mr. Jarrell on September 2, 2022, is an introductory lesson on limits in calculus. The presentation begins with a review of a homework assignment, followed by an exploration of the concept of a limit, one-sided limits, and the Limit Theorem. The presentation is interactive, with several 'You Do' sections where students are encouraged to find the limit by plugging in values. The presentation concludes with a list of resources for further study, including Khan Academy videos and other links.

**Critique of the Summary**

The summary provides a clear overview of the presentation's content, highlighting the main topics covered and the interactive nature of the lesson. However, it could be more compelling by emphasizing the real-world applications of limits and how understanding this concept is crucial in fields such as physics and engineering. The summary could also mention the use of multimedia resources, like the YouTube video, to make the lesson more engaging.

**Jo Boaler and Sal Khan's Perspective**

Jo Boaler, a renowned math educator, might appreciate the interactive nature of the presentation, as it aligns with her belief in active learning. She might suggest incorporating more visual representations of the concept of limits to cater to visual learners. Sal Khan, the founder of Khan Academy, might focus on the use of online resources and self-paced learning. He might suggest adding more step-by-step explanations and practice problems to enhance understanding.

**Synthesis and Improvements**

The presentation provides a comprehensive introduction to the concept of limits in calculus. It effectively uses interactive elements and online resources to facilitate understanding. However, to improve the flow of information and enhance student understanding, the following improvements could be made:

1. **Incorporate Real-World Examples**: To make the concept of limits more relatable and interesting, real-world examples where limits are used could be included. For instance, an example could be how limits are used in physics to calculate instantaneous velocity.

2. **Visual Representations**: Graphical illustrations of one-sided and two-sided limits could be included to cater to visual learners. This could involve showing how the limit changes as we approach from the left or right side.

3. **Step-by-Step Explanations**: More detailed, step-by-step explanations of how to calculate limits could be beneficial. This could involve breaking down the process into smaller, more manageable steps.

Overall, the presentation is a solid introduction to limits, but with these improvements, it could be even more effective in facilitating student understanding.

Then I wanted to see what improvements it would make. I then asked it this:

You are an AI program that is designed to create the world’s most fun, interesting, and informative math lessons for high schoolers. The lessons are not in the exact style of but are similar to Richard Feynman’s famous physics lectures. Above all, these lessons should be relatable to the students' lives so that the students care more about them. 

Give me at least 20 specific examples or math problems that would make that linked presentation you just looked at the world’s best math lesson

and it spit out this:

Absolutely, I'd be happy to help make this lesson on limits more engaging and relatable to high school students. Here are 20 examples and problems that could be incorporated:

1. **The Speeding Car**: Imagine you're driving a car that accelerates from 0 to 60 mph in 10 seconds. What's the instantaneous speed at the 5th second? This problem can introduce the concept of limits in the context of everyday life.

2. **The Shrinking Chocolate Bar**: You keep breaking a chocolate bar in half. What happens to the size of the chocolate bar as you keep doing this? This can illustrate the concept of a limit approaching zero.

3. **The Infinite Series**: If you add 1/2 + 1/4 + 1/8 + 1/16 + ..., what number do you get? This problem can show how limits are used to sum infinite series.

4. **The Leaning Tower of Pisa**: If the Leaning Tower of Pisa leans one more degree each year, will it ever lay flat on the ground? This can illustrate the concept of a limit not existing.

5. **The Bouncing Ball**: A ball bounces to half its previous height each time. How high will the ball bounce after an infinite number of bounces? This can illustrate the concept of a limit approaching a finite number.

6. **The Zeno's Paradox**: You want to walk to the end of a room, but first, you must walk half the distance, then half of the remaining distance, and so on. Will you ever reach the end of the room? This ancient paradox can be solved using limits.

7. **The Speeding Rocket**: A rocket's speed increases as it gets further from Earth due to decreasing gravitational pull. What would be its speed at an infinite distance from Earth? This can illustrate the concept of a limit at infinity.

8. **The Filling Glass**: You're pouring water into a glass at a decreasing rate. Will the glass ever be completely full? This can illustrate the concept of a limit in a practical context.

9. **The Growing Tree**: A tree grows half its current height each year. What will be its height after an infinite number of years? This can illustrate the concept of a limit approaching a finite number.

10. **The Half-Life of a Radioactive Element**: A radioactive element decays by half every year. How much of the element will be left after an infinite number of years? This can illustrate the concept of a limit approaching zero.

11. **The Cooling Coffee**: A cup of coffee cools down to half the difference between its current temperature and room temperature every minute. What will be its temperature after an infinite number of minutes? This can illustrate the concept of a limit in a practical context.

12. **The Fibonacci Sequence**: The ratio of consecutive Fibonacci numbers approaches a certain number as you go further in the sequence. What is this number? This can illustrate the concept of a limit in the context of famous mathematical sequences.

13. **The Harmonic Series**: The sum of the reciprocals of all natural numbers (1 + 1/2 + 1/3 + 1/4 + ...) does not have a finite limit. This can illustrate the concept of a limit diverging.

14. **The Squeezed Lemon**: You squeeze a lemon, and each squeeze gets out half the remaining juice. How much juice will you get after an infinite number of squeezes? This can illustrate the concept of a limit in a practical context.

15. **The Infinite Ladder**: You're climbing a ladder where each rung is half the height of the previous one. Will you ever reach the top? This can illustrate the concept of a limit in a practical context.

16. **The Music Fade-Out**: A song fades out by reducing its volume by half every second. When will the song be completely silent? This can illustrate the concept of a limit approaching zero.

17. **The Population Growth**: A bacteria population doubles every hour. What will be the population after an infinite number of hours? This can illustrate the concept of a limit at infinity.

18. **The Pizza Slices**: You keep slicing a pizza into smaller and smaller pieces. What happens to the size of a piece as you keep doing this? This can illustrate the concept of a limit approaching zero.

19. **The Traveling Light**: Light travels at a constant speed. If a beam of light travels half the remaining distance to a mirror every second, when will it hit the mirror? This can illustrate the concept of a limit in a practical context.

20. **The Stock Market**: A stock's price increases by half of the remaining difference to a certain price every day. What will be the stock's price after an infinite number of days? This can illustrate the concept of a limit in a real-world financial context.

These examples and problems can make the concept of limits more relatable and interesting to high school students, helping them see the relevance of this mathematical concept in their everyday lives.

To dive deeper into one of the examples, I can ask it this:

Let's dive deeper into one of the examples: "12. **The Fibonacci Sequence**: The ratio of consecutive Fibonacci numbers approaches a certain number as you go further in the sequence. What is this number? This can illustrate the concept of a limit in the context of famous mathematical sequences." Tell me everything you know about this topic in a way that I could explain it to a high school senior and they would intuitively understand it

and it will give me this:

Sure, let's explore this fascinating aspect of the Fibonacci sequence.

The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones, usually starting with 0 and 1. So, the sequence goes: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, and so on.

Now, let's look at the ratios of consecutive Fibonacci numbers:

1/1 = 1,

2/1 = 2,

3/2 = 1.5,

5/3 = 1.666...,

8/5 = 1.6,

13/8 = 1.625,

21/13 = 1.61538...

As you can see, these ratios are getting closer and closer to a certain value. This is where the concept of a limit comes in. In mathematics, a limit is the value that a function or sequence "approaches" as the input (or index) approaches some value.

In the case of the Fibonacci sequence, the ratio of consecutive numbers approaches a special number approximately equal to 1.61803, known as the golden ratio. This number is often denoted by the Greek letter phi (Φ).

The golden ratio is a mathematical constant that appears in many areas of mathematics and also in nature, art, and architecture. It's considered to be aesthetically pleasing, and shapes based on the golden ratio are often found to be more attractive.

So, when we talk about the limit of the ratio of consecutive Fibonacci numbers, we're saying that as we go further and further along the sequence, this ratio gets closer and closer to the golden ratio.

To make this concept more intuitive, you could think of it like a car driving towards a destination. The car is the ratio of consecutive Fibonacci numbers, and the destination is the golden ratio. As the car drives, it gets closer and closer to the destination, but it never quite arrives. That's what we mean when we say the limit of the ratio is the golden ratio.

I hope this explanation helps make the concept more understandable!

So, yeah, pretty cool and worthwhile to do. I don't know how this process and GPT-4 isn't extremely helpful and a value-add if used correctly.