The Solution Set
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How a person shapes a life trajectory (21)
Default forces and inertia choose the direction unless you actively steer. (5)
- If you don’t actively steer your life, comfort and normalcy will make the decisions for you. Mediocrity has a gravity that everyone succumbs to unless they are actively fighting against it day after day.
- If you don’t actively steer your life toward your goals, the current of normalcy will carry you somewhere mediocre.
- The most effective people I’ve met all maintain a gigantic locus of control and bias towards internalizing blame. Whenever something doesn’t go their way, they deeply analyze the circumstances to identify what they should have done differently, or, even if they acted appropriately based on all the information available, how could they have gotten more information or taken intermediate actions to extract more signal to inform later bigger actions. They don’t dwell or make excuses. They just learn and apply that learning to the future so they don’t make the same mistake twice.
- If you don’t make things happen and build the life you want, a life you don’t want will be built for you, and it will happen to you.
- The best years of your life are still ahead of you. The day you realize it’s a choice, is the day it becomes true.
Time is a scarce asset: delay destroys compounding and lets opportunities expire. (5)
- Time is the #1 killer of dreams and aspirations. When someone gives up on their dream, or gives up on figuring out what that dream is, it’s typically a result of them losing the race against time. That is the point of compressing time, of removing skill bottlenecks early.
- The #1 killer of dreams is not lack of potential, but rather lack of urgency.
- Speed matters because life is finite. If you take 10 years to learn what could take 2, you’ve lost 8 years of compounding.
- A natural edge you do not cash in eventually expires.
- Sometimes younger people think they just need to kill time and wait it out until they’re older. Like things will magically come together because that’s what happens when you’re older. The hard truth is that nothing comes together like that unless you intentionally make it so. You are fighting your way out of a jungle of confusion about who you are, what you want out of life, what’s within grasp. If you sit down and wait for time to pass then you will never make it out of the jungle. But if you keep moving with intentional direction, then you will gradually find your way.
Delay hardens a trajectory: responsibilities accumulate, substitutes normalize, and choices become harder to reverse. (10)
- The longer you postpone building the life you actually want, the more likely you are to settle for a life you merely drifted into.
- The longer you delay building the life you actually want, the more likely you are to normalize a weaker substitute. Drift hardens into identity faster than people realize.
- The longer you postpone building the life you want, the greater your tolerance grows for a life you don’t want.
- The longer you postpone the life you want, the more responsibilities accumulate, optionality shrinks, and what once felt temporary becomes your permanent life.
- The longer you wait to build the life you want, the more likely you are to settle for something else.
- The longer you postpone disciplined action, the more your choices start getting made by inertia instead of intention.
- All the hard lessons you’re supposed to learn as a kid get 10x more severe each decade you wait to learn them. It’s like that saying in software development about the cost of fixing a bug increases exponentially the further it gets through the development lifestyle.
- You have to understand. Whether you want to hear it or not. Your life is solidifying. And premature solidification is what kills dreams. Yeah it’s never too late to break the concrete but damn does it harder as time goes by. So shape it how you want while it’s still liquid.
- There is no race against peers, just a race against time. The further time gets ahead of you, the more likely you are to settle into a life that is “fine,” despite being unable to shake the feeling that you could have found something better if you had more time.
- If you’re willing to put in the work, it’s the same amount of work whether you start in your teens, 20s, 30s, 40s… What changes is not the amount of work. It’s the amount of free time you have. People often say “it’s too late for me,” but usually what that really means is: “I have less time now, more responsibilities now, and it’s harder to carve out the hours.” That’s real. But the work itself is still doable if you can make time for it.
High-stakes personal commitments can wreck or lock the trajectory. (1)
- It’s incredible how awesome life can be if you marry well. Likewise, it’s incredible how badly you can screw up your life by marrying poorly.
How intention becomes sustained action (53)
Structures, habits, and standards turn intention into repeatable behavior and keep it from decaying. (12)
- The cost of avoiding structure is that every day has to be renegotiated from scratch.
- A surprising amount of adulthood is finally realizing that structure is not the opposite of freedom. It’s the thing that keeps freedom from turning into aimlessness.
- A surprising amount of adulthood is just finally accepting that no one is coming to impose the structure you need. You either build it, or you drift inside the structures other people built for you.
- The easiest way to stay mediocre is to keep your goals abstract and your days unexamined.
- The point of structure is not to limit you. It is to stop wasting your best energy on re-deciding the obvious.
- Every system inevitably decays into mediocrity unless someone fights to keep the standards high.
- It is hard to reach your potential when you continually waste your best energy figuring out what to spend it on.
- The easiest way to stay mediocre is to keep your goals abstract and your days unexamined. Vague ambition lets you feel serious without forcing contact with serious work. The truth shows up in what you repeatedly do, not what you admire.
- The most likely trajectory you’ll follow is the one traced out by your habits compounding infinitely into the future. The best predictor of who you’ll become is what your current habits are.
- One of the laziest things you can do is berate yourself for being lazy. Stop judging your character and start building your systems. Wallowing in self-loathing is a form of procrastination.
- Every system decays toward mediocrity unless someone keeps the standards high. Your life is not exempt from this rule. Sometimes you have to imagine yourself as your own parent. That’s basically what growing up is.
- Never underestimate how much alpha you can generate by asking yourself what you’d do if the stakes were raised to infinity. “The approach you’re taking right now – would you still use it if your life were on the line? Is there anything else you’d do to increase your chance of living?”
Passive consumption substitutes for production without building much capability. (4)
- Get your dopamine from production, not consumption.
- Intellectual obesity is what happens when you consume too much and produce too little.
- You want to acquire a taste, develop a craving for producing as opposed to just consuming information. Producing is where the learning happens; consuming is only helpful insofar as it enables you to produce.
- The path to intellectual obesity: If you binge a bunch of lecture videos, documentaries, textbooks, whatever, without actively working exercises, solving problems, building stuff, then you fall into a state of “blah”. Just like how if you spend the whole day sitting on the couch watching TV, you get kind of restless yet somehow also too tired to get off your butt.
Distraction captures attention and displaces meaningful action. (8)
- Learn math. Avoid brainrot.
- You have to understand. Spending 1 hour per day on brainrot is insane. That’s about 6% of your waking day. About 5 years of your waking life. Half a decade. On brainrot. Just gone. Zero return. Zero fulfillment. Zero meaning. Zero contribution to the other parts of your life.
- Mathematics is the antithesis of brainrot.
- If you replace your daily brainrot sessions with technical upskilling, your quality of life will seriously improve.
- Step 1 – get into the habit of getting off your butt and actively doing tons of things. Step 2 – get really good at identifying the highest ROI things, focusing your bandwidth on those things, and shielding your attention from all the other fascinating distractions.
- Lots of people use brainrot to postpone existential dread. What they often don’t realize is that they are also postponing the actions that would create meaning. If your life feels unfulfilling, no amount of distraction will fix that. You can’t fix emptiness with more emptiness.
- It is hard to improve when your main coping strategy is distraction. Improvement requires sustained contact with what is not yet good enough.
- Life gets a lot more fun, fulfilling, and hopeful when you’re climbing a skill tree instead of doomscrolling.
Activity can look productive while avoiding output or effective contact with reality. (4)
- The most dangerous form of laziness is performative productivity. Notes, tabs, highlights, summaries, plans. A whole pile of activity arranged to avoid direct contact with the work.
- You become what you do. Not what you plan. Not what you admire. Not what you talk about.
- Building something is a brutal way to discover which parts of your intelligence were only verbal.
- Study as if your life depends on the output, not the hours logged. Because it does.
Serious progress requires tolerating effort, intensity, and discomfort. (5)
- Just do the fcking work. If you want to develop serious skills, you have to engage in intense, taxing workouts. Amateurs sometimes make up all sorts of excuses for why this rule doesn’t apply to them, but real pros don’t try to weasel their way out of the hard work. You think you’re too good for the grunt work? Too smart to listen to your coach’s feedback? Then what are you waiting for — go on, succeed all by yourself in your current state. Either prove your inherent greatness, or fail and get your ass handed to you enough times to knock some humility into your head. At the end of the day you can either waste time debating your coach on the training regimen, or you can use that time to just put your head down and do some fcking work. One of those actions will turn you into a pro; the other will keep you tethered to amateur level for the rest of your life. It’s your choice. You want outsized results? Then you’re going to have to put in an outsized amount of work. Achievement, expertise, greatness, whatever the hell you want to call it — it doesn’t happen naturally. It’s about transforming yourself from normal to abnormal in ways that confer a competitive advantage. There’s nothing natural about it.
- The magic you’re looking for is in the full-assed effort you’re avoiding. 30 minutes of fully focused deliberate practice 4 days per week can have you making serious progress towards most learning or fitness goals. But it has to be fully focused – a “full-assed” effort – and you have to be continually upping the level of challenge as your capabilities increase. You have to work intensely enough that you come out of each session seriously winded. Meaning that either your brain feels like mush or your body feels like jell-o. When someone fails to make a decent progress towards their learning or fitness goals and cites lack of time as the issue, they’re often wrong. It’s often not lack of time but rather lack of willingness to put forth a full-assed effort under a continually increasing level of challenge. If you put in a half-assed effort then you get a quarter of the results at most. That’s what causes the purported lack of time. To get the equivalent of 30 min full-assed, you have to put in at least 2h half-assed, which you quite reasonably might not have time for. Or you put in 30 min half-assed and get the equivalent of 7.5 min full-assed, which doesn’t move the needle fast enough on your progress for you to reach your goal in a reasonable timeframe. The magic you’re looking for is in the full-assed effort you’re avoiding.
- Many students are sold a lie that learning should feel pleasurable, and when that’s not their experience, the cognitive dissonance eats them alive. It’s like someone signs up for strength & conditioning at a gym and the trainer tells them that they should feel pleasure doing pushups, sprints, deadlifts, etc. Or like a nutritionist saying “you should enjoy the taste of broccoli.” Completely alienating. What a good trainer will say is “Yes, it feels taxing, and that’s okay, that’s normal. Our goal here is not pleasure, it’s satisfaction – making progress, doing things you weren’t able to do before, feeling good about what you’ve accomplished, transforming yourself in ways that are beneficial for your future. You’re here to work, so let’s do work.” People respect that, and there’s a kind of comfort in knowing that we’re all here to do serious work. Whether it’s the gym or the classroom, that’s what people need to hear.
- It’s amazing how many people will rationalize avoiding skill development on the grounds of “nah bro, I’d rather have a life.” The thing is, you can make serious progress climbing pretty much any skill tree if you just put in 30 minutes of focused effort every day. But it has to be fully focused – a “full-assed” effort – and you have to be continually upping the level of challenge as your capabilities increase.
- One of the biggest competitive advantages: actually giving a shit.
Do not wait for motivation, confidence, interest, or a shortcut before acting. (9)
- Don’t have a passion? Go create one. Be disciplined, set up a habit, compound compound compound. Develop a relationship with it, put in extra time when you’re bored, come to it when you need an emotional outlet. Trust that it will grow on you and seep into your identity as you spend a lot of time practicing and developing serious expertise. It’s just like developing a close human relationship. You might not have a strong bond with the person initially, but you get along “enough” at the beginning, and over time you get to know each other so well, you go through so much shit together, that you are inseparable. And don’t worry about the long-term too much. The person who became your best friend, you probably didn’t know it the day you met them. You probably got to know them better and better, week by week, month by month, until at some point you realized you couldn’t imagine life without them. It’s the same way with creating a passion. If you keep on making short-term progress then the long-term will sort itself out.
- The best “life hack” I know is the trick of making yourself like things. Lots of people think their likes and dislikes are fixed, and they have no choice in the matter, but the truth is you can often just make yourself like things. It’s amazing how fun a seemingly boring thing can become once you develop a habit, establish some baseline competence, and get some skin in the game.
- You are capable of becoming way more skilled than you think. So don’t get lazy, don’t make excuses, don’t waste your time looking for hacks to succeed without skill. Just do the damn work, work smart (efficiency) and hard (volume), and reap the reward. You have so much potential, even if you don’t think so yourself. Just get the ball rolling on your skill-building, stick with it seriously and consistently for months. You will begin to see yourself transform, and you will begin to understand that you have lots of potential.
- You are capable of becoming way more skilled than you think – so don’t get lazy, don’t make excuses, don’t waste your time looking for hacks to succeed without skill, just do the damn work, work smart (efficiency) and hard (volume), and reap the reward. You have so much potential, even if you don’t think so yourself. Just get the ball rolling on your skill-building, stick with it seriously and consistently for months – you will begin to see yourself transform, and you will begin to understand that you have lots of potential. One of the most positive things someone can do is say “screw you, I’ll show you” to their thoughts about not having potential. Understand that whenever I write like a hard-ass, it’s because I want to nudge people in that positive direction. I think what people tend to need the most yet have the least in their lives is a supportive hard-ass. Not to be confused with an unsupportive hard-ass or a supportive pushover. A supportive hard-ass, who wants to see them do the hard work that it takes to find deep fulfillment in life, and provides all the guidance and support they possibly can to make that happen, but isn’t afraid to call them out on counterproductive actions. That’s the gap I aim to fill as best I can with my writing.
- Too many people waste time searching for a magical motivational unlock that will bring about a sudden phase transition in their ability. Don’t bother. It doesn’t exist. Ability is built, not unlocked. You do not have a latent superpower that can be unlocked in a day. You have to build up a skillset. You build it up high enough and then other people think it’s a superpower you always had.
- Do it scared. Do it tired. Do it doubting. Do it imperfect. Do it alone. Do it anyway.
- “Wasting your time doubting whether you’re going to be successful is pointless.” —Kobe
- Procrastination is the architect of mediocrity.
- The hack is honestly just “do the work”. Which I know doesn’t sound like a hack, but so many people just waste their time whining and sandbagging and bullshitting in various ways, that just locking in and doing the work is actually a gigantic edge.
The long-term cost of inaction is greater than the immediate cost of effort. (4)
- Doing the work is hard, but what’s even harder is coping with the fact that you had potential and didn’t capitalize it. The fatigue you feel from hard work is surface-level, whereas thinking “could have been me” the rest of your life will completely destroy you at the core.
- Doing the work is hard, but what’s even harder is not doing the work and spending the rest of your life coping with unrealized potential. The fatigue from hard work is surface-level; the regret from inaction runs deep.
- “What will I regret not having done when I’m old, and why haven’t I done it yet” is one of the best questions you can ask yourself daily. Because, as Jim Rohn put it, “the pain of discipline weighs ounces, but the pain of regret weighs tons.”
- Pushing yourself to do hard things is cognitively taxing, but what’s even more cognitively taxing is NOT pushing yourself and having to find ways to cope with your unrealized potential.
Momentum compounds; start small, stay in motion, and recover quickly after breaks. (5)
- You think the reason why you aren’t locked in, making fast progress towards your goals, is because you lack the mental toughness to push yourself that hard. But you’re wrong. That’s not your problem. The reason why the ball isn’t rolling fast is that you refuse to begin getting the ball rolling slowly. Your problem is that you think the ball has to go from 0 to 100mph today, because if you can’t get it to 100mph today, then you’ll never be moving fast enough to achieve your goals. Which is completely wrong. You can get to 100mph by compounding smaller pushes over a much longer timescale. Go from 0 to 1mph today, maintain it at 1mph for a few days, then push it to 2mph the next day, and so on. You can get to 100mph that way.
- One of the most important character traits to develop in life: Becoming someone who can bounce back from a bad day or missed habit and get right back on the horse the next day. A missed day will not derail your habit. But if you wallow in it and turn it into a missed couple days, a missed week, then it might – and if you let it spiral further than that, then, then kiss your habit and aspirations goodbye.
- If you’re struggling with discipline, try getting some work done first thing in the morning – before you eat, before you shower, before anything. Getting some work done is your meal and shower ticket. The longer you go in your day being lazy, the harder it is to get yourself to break out of the laziness and put forth effort. But if you start your day off with some momentum then that momentum can help carry you through the rest of a productive day.
- Always remember that if you’re playing a long game, the only way you fail is if you quit. So reflect on today, make some adjustments for tomorrow, give it another shot, rinse and repeat, accumulating incremental improvements until you get what you want.
- You have so much potential, even if you don’t think so yourself. Just get the ball rolling on your skill-building, stick with it seriously and consistently for months – you will begin to see yourself transform, and you will begin to understand that you have lots of potential.
High work volume becomes sustainable by cycling among productive activities. (2)
- How the highest performers sustain a massive workload: In most domains, the most talented performers have some edge that allows them to level up faster than the average person, and despite having this edge, they still choose to put in much more time than the average person. They spend most of their waking hours pushing the boulder even though it’s way beyond what most people consider the finish line. For this kind of person, there is no real concept of a finish line. The talent domain is a component of their identity, not just a skill equip. The way they sustain such a high volume of work is by interleaving a wide variety of productive activities. They’ve gotten far enough in the skill domain that they’re well past the narrow tree trunk of fundamentals, and now they have many different branches they can be traveling outwards along. Of course, some branches are more productive than others, so it’s necessary to focus one’s efforts and avoid spreading oneself too thin, but even still, there are quite a few highly productive activities they can cycle between. (Note that beginners may have a hard time imagining this because they’re still climbing the tree trunk of fundamentals and haven’t really experienced the “branch-out” effect where it feels like the more you do, the more there is left to do.)
- How to become a super-producer: The #1 trick to super-productivity is interleaving a wide variety of productive work that you enjoy. You get tired, bored, and unproductive if you’re moving along one dimension for too long. The solution is to get yourself in a situation where your production function has multidimensional input and all those inputs have large partial derivatives on the same order of magnitude. You follow the gradient in that space by cycling between these component activities. The activities are orthogonal, so whenever you start getting tired, bored, and unproductive from moving along one dimension for too long, you just switch to a different activity, moving along a different dimension. That said, it’s important to remember that “interleaving a variety of productive work” is different from running away from your problems. If you’ve hit a rut on some activity, and you’re switching tasks just to avoid dealing with that problem, and it’s been this way for a handful of cycles, then you’re past the limit of “taking a break to freshen up” and what you really need to do is bunker down and bust through the plateau.
How competence is built (35)
Higher-level performance depends on lower-level knowledge and foundations. (10)
- When you “hit a wall” in something you are trying to learn, it’s typically just a massive debt of unlearned prerequisites that are finally being called due.
- Most people don’t hate math. They hate the cognitive friction of missing prerequisites.
- When you hit a wall in math, coding, or any hard skill, do not immediately conclude that you lack talent. Most walls are just prerequisite debt finally coming due. Go back, fill the gaps, make the basics automatic, and the wall often turns into a staircase.
- People don’t hate math; they hate the feeling of being lost. They hate the compounded debt of unlearned prerequisites.
- Ask yourself: Am I struggling because the task is hard, or because I’m too arrogant to go back and learn the basics?
- The cost of avoiding beginner work is that life keeps finding new ways to embarrass you with it.
- The reason that math is hard for most is the same reason that math is easy for some: dependencies. To succeed in learning math, you need to learn carefully and thoroughly. If you skip over material, then you won’t be able to learn anything that depends on that material. In extremely hierarchical subjects like math, a single knowledge defect can create a total roadblock to learning – whereas in less hierarchical subjects like history and biology, it’s less of an issue. But dependencies also mean that it’s easier to maintain existing mathematical knowledge than, say, historical or biological knowledge. The mathematical knowledge base contains a lot of information stacked on top of itself, and you can review the entire knowledge base by just reviewing the information at the very top of the stack. By contrast, in history/biology, the information is more spread out as opposed to stacked, so you have to review a lot more information in order to cover the entire knowledge base. This is the double-edged nature of hierarchical knowledge: it’s easier to run into roadblocks, but also easier to maintain what you’ve learned.
- The least efficient learning strategy is asking “why am I so dumb.” A more efficient question is “what prerequisite knowledge am I missing?” – treat it as a solvable engineering problem, not a permanent trait.
- Everybody wants to think critically and creatively, but nobody wants build their knowledge base! Reasoning, creativity, etc., involve combining elements of a knowledge base. You can’t think with knowledge you don’t have. You can’t cook with ingredients you don’t have.
- Euler, Gauss, Maxwell, etc. – even Ramanujan and Galois – didn’t skip the foundations. Ramanujan self-studied thousands of theorems as a teenager. Galois had an intense period of mathematical upskilling before producing the original work that made him famous.
Progress by climbing the skill tree one reachable step at a time. (4)
- The most transferable skill you can acquire is learning how to climb skill trees – especially ones that are brutally hierarchical. This meta-skill is abstract, but you acquire it by practicing on particulars. You gotta lean into specific domains and acquire measurable, demonstrable skills. But once you see it, once you get a feeling for the process, you see it everywhere.
- Most people don’t realize they can systematically climb skill trees. If you know, you know. It is such a massive edge. But most people don’t see it. They try a bunch of random stuff in random order, inconsistently, see little progress, and give up quickly. They think they can’t climb the tree when really it’s just that they can’t reach a tall branch directly from the ground. They don’t realize that every skill tree has a tree trunk and lower branches that you have to climb first before you can reach the higher branches. They don’t even realize it’s a tree. They just think it’s some nebulous dispersed ether of scattered things that they either can or can’t do. They hit ceilings and think those ceilings are locked in place, impossible to break through, it either comes naturally to you or it doesn’t. Sometimes they realize this later in life, by chance, when picking up a new hobby or learning a new language or getting serious about work or having to teach someone. And then it dawns on them that systematically climbing a skill tree is a generalizable approach, and they think about all the time they’ve wasted standing on the ground jumping at the highest branches of skill trees and doubting their ability to reach it, when all they had to do was climb.
- A surprising amount of wisdom is just doing the next obvious thing correctly, repeatedly, without letting impatience trick you into skipping the level you are actually on.
- Start where you are. Not where you want to be. Not where you think you should be. Not where others think you should be. Not where you used to be. Start where you are. If you’re losing interest in your goals, it might be because you’re doubting you can reach them. If you’re doubting you can reach them, it might be because you’re doubting you can reach the next step. And if you’re doubting you can reach the next step, it might be because the next step is too large. It’s like trying to lift a weight that’s too heavy. You’re not supposed to be able to lift weights that are too heavy. You have to break it down into smaller pieces that you can actually lift, and then come back to the heavier weight later.
Use guidance and concrete representations before abstraction and discovery, then outgrow the scaffold. (4)
- Avoiding guidance is a midwit thing. If you want to stand on the shoulders of giants you gotta accept guidance.
- If you insist on fully visualizing every piece of math you learn, eventually visualization becomes the ceiling instead of the ladder.
- The most common failure of “smart” people is trying to build a general system before they understand the concrete examples.
- If you want to maximize how far you get in a talent domain: 1. Grab all the explicit examples & guided problem-solving experiences in the direction that you’re going, as quickly as possible. 2. Only once you reach the end of the road with known examples and problem-solving experiences, do you switch over to discovery learning. Discovery learning is a way less efficient way of moving forward so you want to save it for the end when it’s the only way to continue moving forward. — Note: This strategy assumes your direction is narrow/focused enough to actually reach the edge of the talent domain. There is a “permastudent” failure mode where you don’t focus your direction enough to actually reach the edge. Or you reach the edge, but then you get scared to make the leap into creative production, so you artificially widen/unfocus your direction to introduce more opportunities for fundamental skill development. Don’t do that.
Active practice, retrieval, problem-solving, and feedback change ability. (11)
- The 8 Laws of Learning, according to legendary coach John Wooden, the most quotable figure in the entire field of talent development: 1. Explanation 2. Demonstration 3. Imitation 4. Repetition 5. Repetition 6. Repetition 7. Repetition 8. Repetition. Few people understood better than him that repetition rewires your brain. Repetition rewires your brain. Repetition rewires your brain.
- The most hard-hitting 2 sentences in all of talent development research: According to K. Anders Ericsson (1993, with Krampe & Tesch-Romer), one of the most influential researchers in the field of human expertise and performance, “deliberate practice requires effort and is not inherently enjoyable. Individuals are motivated to practice because practice improves performance.” In other words, maximal learning does not happen naturally as a result of maximizing other things like enjoyment, comfort, convenience, and ease of practice. In fact, maximal learning is at odds with some of these things. Sacrifices must be made.
- Do the damn problems. Too many damn people think they can learn without doing the damn problems. Doing the damn problems makes all the damn difference.
- A sign of low intelligence: “studying” by repeatedly consuming or transcribing information, instead of retrieving it from memory and using it to solve problems. This is not just an effect, but also a cause, of low intelligence.
- It’s just cognitive weightlifting. Practice retrieving chunks of information from memory, unassisted. Lift them up off the ground of long-term memory and raise them into working memory. As it gets easier, make the chunks bigger and the retrieval conditions harder (longer spacing, less priming, time constraints). That’s the cognitive equivalent of adding weight to the bar.
- The thing to remember when studying is that you are physically changing your brain to execute more complicated cognitive tasks. At a fundamental level it is just like lifting weights or practicing gymnastics. The keys to effective training are the same, and so is the feeling of effective training.
- A common thing that keeps mathy people from actually learning math is having an ego that’s too damn big. Like a basketball hobbyist who – shows off at pick-up games at the park, – thinks they’re the star of the show, – signs up for private coaching with an ex-NBA player, – thinks they know better than the coach, and – is consequently uncoachable.
- The strongest people lift weights heavy enough to make them feel weak. It’s true in the gym, it’s true in the classroom, it’s true in every skill domain. A well-known finding in education research is that the perception of learning is often at odds with actual measurable learning. When using effective learning strategies, students perform better on assessments but may feel they’ve learned less. Why? Because effective strategies increase cognitive activation, enhancing learning despite students feeling it’s harder. It’s like weightlifting – the strongest people lift weights heavy enough to make them feel weak.
- Be a cognitive weightlifter. Thinking amounts to activating and manipulating chunks of information. Chunks are cognitive musculature. Better thinkers have bigger chunks (and those chunks are better organized and more readily retrievable). The way you build big chunks is by retrieving chunks of information from memory, unassisted. You lift them up off the ground of long-term memory and raise them into working memory. And as it gets easier, you make the chunks bigger and the retrieval conditions harder (longer spacing, less priming, time constraints). That’s the cognitive equivalent of adding weight to the bar.
- Lots of students study way more than necessary while simultaneously learning way less than necessary. They use low-effort, inefficient study techniques like re-reading and highlighting instead of just sucking it up and engaging in efficient retrieval practice and problem-solving. You can go for way longer when you’re using a low-effort study method, while simultaneously learning way less.
- Lots of people are used to spending an hour reading a chapter or watching a lecture, and then doing homework afterwards. But that’s a really inefficient way to learn. Students who approach learning that way end up wasting most of their time. Instead, it’s vastly more efficient to intersperse retrieval practice throughout: 1. Consume a bite-sized piece of information (with a sense of urgency but not rushing – slow down when necessary to parse and make sense of complex pieces of information, and if any connections come to mind, take a moment to consider them). 2. Practice recalling the information you consumed (including solving a few simple problems that require only the material you’ve covered so far). 3. Repeat with the next bite-sized piece of information. Max-efficiency learning consists of students spending the vast majority of their time solving problems (and receiving feedback) on new topics and topics most in need of review, with instruction interspersed so that students receive minimum effective doses of new information right before they use it to actively solve problems and receive feedback.
Automaticity makes lower-level operations cheap enough for higher-level thought. (3)
- You cannot be creative at a high level unless you are robotic at a low level. People love to talk about creativity as if it floats above skill, but creativity needs raw material. It needs patterns, facts, examples, rules, exceptions, and procedures already loaded into long-term memory. You cannot think with knowledge you do not have. You cannot cook with ingredients you do not have. When the basics are not automatic, your working memory gets spent on the basics. You are trying to be strategic while still thinking about how the pieces move. You are trying to find high-level patterns while the lower-level structures have not formed yet. This is why grunt work matters. Repetition is not the enemy of creativity. It is the compression process that frees up mental bandwidth for creativity. If you master the basics until they become unconscious, then your brain finally has room to begin operating at higher levels.
- The anti-memorization movement has left millions of students unable to think because every elementary operation consumes working memory. For instance, solving equations feels smooth when basic arithmetic is automatic. It’s like moving puzzle pieces around, and you just need to identify how they fit together. But without automaticity on basic arithmetic, each puzzle piece is a heavy weight. You struggle to move them at all, much less figure out where they’re supposed to go. It’s the same all the way up the ladder of math: from arithmetic, to algebra, to calculus, to all sorts of university-level math and beyond.
- Master the basics until they’re unconscious. You can’t play strategy if you’re still thinking about how to move the pieces.
People differ in learning rate, cognitive capacity, required practice, and productive ceiling. (3)
- Douglas Hofstadter wrote about his experience of running up against an “abstraction ceiling” in his own brain while pursuing a PhD in mathematics. He described the abstraction ceiling is not a “hard” threshold, a level at which one is suddenly incapable of learning math, but rather a “soft” threshold, a level at which the amount of time and effort required to learn math begins to skyrocket until learning more advanced math is effectively no longer a productive use of one’s time. That level is different for everyone. For Hofstadter, it was graduate-level math; for another randomly selected person, it might be earlier or later (but almost certainly earlier).
- You have to ignore an enormous amount of reality to conclude that e.g. John von Neumann had no more genius than someone who struggles with basic arithmetic. The fact that some people think cognitive ability doesn’t vary between individuals basically proves that it does.
- There’s a common myth that goes like this: “everybody has the same cognitive horsepower and learns at the same rate, but different people learn differently depending on their preferred learning style.” In reality, the exact opposite is true. Different people generally have different working memory capacities and learn at different rates. While people may have preferred learning “styles” (e.g. visual vs verbal), they do not actually learn better when given information in their preferred style. The myth is that different people need the same amount of practice but in different forms – whereas the reality is that different people need the same form of practice but in different amounts.
How education should organize learning (13)
What the institution rewards, measures, and optimizes. (3)
- The cost of college is so out of whack that it would actually be cheaper to hire a personal tutor for every hour you’d spend in a college lecture. Seriously, the math works out: Each semester you have, say, 5 classes, each with 3h of lecture per week? 15h/week? For like 16 weeks? So 240h total per semester? So 480h per year? Round up to 500h? You could hire a $50/hr tutor for all that time and it would run you $25k. Or go find a grad student on campus who’s willing to do it for $20 plus a slice of pizza. Now you’re down to $10k. So the sticker price of college tuition at a name-brand private university is $60k for what reason exactly? Really drives the point home that skill acquisition is not the primary value proposition.
- The biggest scandal in education isn’t even the low test scores. It’s the high grades.
- I had to do a teacher credentialing program in 2020. The science of learning was not covered at all. No spaced repetition, no retrieval practice, nothing. There was a single academic paper that we had to read and write an essay about. The topic: hegemonic heteronormativity.
How students are paced, matched to readiness, and advanced. (6)
- The greatest educational life hack is learning high school math in middle school and university math in high school. But even just being a year or two ahead has shockingly high value. If you know, you know.
- The worst segment of the K-12 mediocrity is 6th-8th grade math. Typically, kids learn counting/arithmetic in elementary school (K-5) and then spend the next 3 full years spinning their wheels without learning much new math, only moving on to Algebra I in 9th grade. If you take those 3 years and put them to good use, you can actually enable gifted kids to cover all of high school math during those years and pass the AP Calculus BC exam by the end of 8th grade, without spending any extra time doing math.
- Imagine a gym where everyone lifts according to birth year. That’s basically how we organize education.
- How to compress a grade level’s worth of learning much, much shorter than a year: 1. Identify what the student already knows 2. Overlay that on a knowledge graph to construct their personal knowledge profile 3. Teach only new topics for which they’ve mastered the prerequisites, their “knowledge frontier” 4. Each lesson cycles through minimum effective doses of explicitly guided instruction & active practice problems 5. Enforce mastery relentlessly: if you can’t consistently solve problems correctly, then you don’t move on to more advanced material that depends on it. You continue on parallel learning paths and come back to the halted one later. 6. Review previously learned material using spaced repetition & frequent broad-coverage closed-book timed quizzes 7. Review old stuff by learning new stuff – i.e., knock out as much review as possible by learning new material that exercises those review topics as subskills.
- The reason why knowledge graphs are so powerful is that you can use them to determine exactly what a student is ready to learn. So much student potential is lost by having them waste time practicing topics they’re not ready for, or that they’ve already mastered. But if you correctly and continually match students to tasks that are the single most efficient use of their time right at this moment, you can unlock massive amounts of human potential.
- You have to understand. Education is a race against premature convergence. The longer you wait to build skills, the harder life pushes you to settle for something beneath your potential capabilities.
How knowledge and practice are taught. (4)
- Group work usually ends with the student who knows the least learning nothing, and the student who knows the most doing everything.
- The goal of education is not to make every student retrace thousands of years of dead ends that took geniuses to overcome. The goal is to help students inherit these genius-level insights in a way that does not depend on the students themselves being geniuses.
- The idea that students should “discover” everything for themselves is a massive waste of human potential. We have thousands of years of accumulated genius; trying to “re-discover” it is like trying to reinvent the microchip with a rock.
- If you understand the interplay between working memory and long-term memory, then you can actually derive – from first principles – the methods of effective teaching.
How tools should extend human competence (7)
Manual understanding must come before automation, scaling, or delegation. (4)
- Never underestimate how much time and effort you can waste by trying to automate a process you do not understand manually.
- You cannot optimize what you haven’t mastered manually. You haven’t earned the right to automate until you’ve felt the friction of the manual labor.
- You cannot effectively scale work with AI until you’ve personally done enough of the work to know what good looks like.
- You cannot delegate what you cannot audit.
Tools amplify competence but cannot safely substitute for understanding. (3)
- Pure vibe coding is a Ponzi scheme. Eventually, the technical debt comes due, and if you don’t understand the foundations, you can’t pay it off.
- Saying software engineering is dead because of AI is like saying math is dead because of calculators.
- Calculators are for those who have already mastered the calculation. Using tools to bypass understanding is just borrowing intelligence at a high interest rate.
How competence becomes external leverage (27)
Demonstrated competence and output replace potential, promise, and confidence as the relevant currency. (7)
- Students often don’t realize that after they graduate, the game eventually becomes 100% about what they’ve actually done and 0% about what they have the “potential” to do – and this transition happens faster than they expect. This can be a hard truth for students who get used to hearing “you’re going to do great things” and then never take action. But it’s a welcome truth for those who are willing to put in serious work to get serious results.
- At some point, and much earlier than you expect, it becomes 100% about what you’ve actually done and 0% about what you have the “potential” to do. This can be a hard truth for people who get used to hearing “you’re going to do great things” and then never take action. But it’s a welcome truth for those who are willing to put in serious work to get serious results.
- You will also be shocked by how many doors slam back shut if you lack the skills to seriously contribute in the environments that your delusion opens the door to. Confidence opens doors but competence gets you through them. You can have the most valuable opportunity in the world open to you, but if you don’t actually capitalize on it, all you walk away with is a story about how you almost made it.
- The world may give you a brief grace period for being smart, talented, or promising. But that grace period ends. Then the question becomes brutally simple: what have you actually done?
- The world eventually stops caring what you could do and starts judging you solely on what you did. This transition happens quicker than most students expect.
- Confidence is the byproduct of competence, not the cause.
- Stop trying to look like someone with potential and start training like someone who intends to cash it in.
Solving valuable problems makes you useful and economically valuable. (4)
- Your goal is NOT to prove you’re smart. It’s to make problems go away. Yes, the more knowledgeable you are, the better you’re equipped to solve problems, but if your primary focus is peacocking your intellect then you’re going to create problems instead of make them go away. You don’t get points for creating an unnecessary problem on which to demonstrate your smarts. You don’t get points for creating an overcomplicated solution to a simple problem. You lose points for these things. What you get points for is taking a problem and making it go poof, completely solved and easy to maintain and nobody has to think about it anymore.
- By seriously skilling up and applying those skills to solve real problems that people are willing to pay to make go away. This can be a long road (like 10 years, not 1 year) but it is the only reliable path to wealth. You can either start making your way now or waste years on “get rich quick” lottery tickets and start later. The path is patient; it will stay there until you’re ready to acknowledge it. But it is also uncompromising; it won’t shorten or speed you along just because you started later. If it’s important to you to reach a high level of success early in life, then you would be well advised to start down the path asap. The benefit of starting young is that most young people have relatively few responsibilities and can put forth an outsized volume of work sprinting down the path like a maniac. As you get older, responsibilities accumulate and tug at your time (often in a good way, but leaving you with less free time nonetheless). And the longer you wait before building the life you want in the long run, the more likely you are to settle for something else.
- Do not show up and immediately start trying to become important. That’s a painfully common rookie mistake. First focus on becoming useful. You become useful enough, you start earning leverage. You earn enough leverage, you become important.
- The best career advice is still brutally simple: become useful in a way that is hard to fake.
Taking on essential responsibility earns trust, importance, and security. (2)
- Career progression is all about delivering on projects that grow in scale, complexity, and responsibility. And the #1 way to get those projects is to put pressure on your boss to come up with more work for you. One of the best career hacks — especially for a junior dev — is to knock out your work so quickly and so well that you put pressure on your boss to come up with more work for you. It causes your projects to grow in scale, complexity, and responsibility. When you’re moving super quickly, your boss can’t spend all their time communicating hyper-detailed specs to you, so they have to gradually pull back and offload more of the “scoping out” work to you. You get more responsibility to carry out the project with less scaffolding/supervision, and you build your boss’s trust in your ability to execute. Basically, you put so much pressure on your boss to come up with work for you to do, that your boss starts giving you work that they themself need to do soon, which is really the exact kind of work that’s going to move your career forward.
- The most outdated advice people still give seriously: That joining a stable company guarantees a stable job. It’s counterintuitive but vital to understand that if you join a stable company, then your job security is actually pretty low, because your leverage is low. The highest job security is when you join an unstable company and become one of the pillars in its transition from unstable to stable. In other words, don’t mistake company stability for your own stability, unless the company would topple over like a Jenga tower if you were removed.
Rarity and differentiated skill combinations make you harder to compete with. (6)
- Math expertise is kind of weird in that it’s overpowered when combined with other areas of expertise, but underpowered alone. Generally speaking, most of the world does not care about math directly and is not going to care how good you are beyond some baseline level of competence. But if you also build baseline competence in another field that more people do care about, then serious math chops can be a gigantic power-up.
- Under-recognized fact of life: Most competitions follow exponential distributions, and when you’re on the tail of an exponential distribution, the difference between the 99th & 99.9th percentiles is bigger than the difference between the 50th & 90th percentiles. The higher up you climb the ladder of competition, the bigger the spread in your competition group.
- Everyone knows that the easiest way to become insanely skilled is to skill-stack. You know what skills pair really well with each other and basically everything else? Math and coding. If you’ve got serious math chops, coding chops, and deep domain expertise in another discipline, then you’re compounding three orders of magnitude. Be one-in-a-hundred on each and now you’re one in a million overall. Be one-in-a-thousand in each and now you’re one in a billion overall. Pursue a domain you love, but simultaneously get so insanely technically skilled at math and coding that you can apply them to your domain of interest in an innovative way. Deep domain expertise plus alien-level technical skills equals lots of interesting and rewarding work to do.
- Pursue a domain you love, but simultaneously get so insanely technically skilled at math/coding/AI that you can apply it to your domain of interest in an innovative way. Deep domain expertise plus alien-level technical skills equals lots of interesting/rewarding work to do.
- The best career strategy is to become hard to compete with because nobody else has your exact stack of skills, interests, wins, and hard-won experience.
- One thing that many highly capable people have in common: A serious math arc. It’s a rite of passage in the journey to developing alien-level skills.
Early competence opens opportunities that compound into later opportunities. (8)
- The best career advice for young people is to just focus relentlessly on 3 things: 1. Get skilled. Technical skills, writing skills, people-orchestration skills, everything. 2. Get involved contributing to a mission you’re aligned with. It doesn’t have to be pure bliss and your contribution doesn’t have to match your top strengths exactly. But at the end of the day you have to feel some pride in what you did or what you learned. If you can find something like that while becoming skilled in a number of different ways then you’ll find ways to increasingly wrap your skill profile around it (and you’ll find/develop strengths in your skill profile that you never expected). 3. Pick up momentum. If you do (1) and (2) right then you’ve got direction and potential and all that’s left is to sprint forwards and achieve it. The more momentum you pick up, the better you get, the more real value you produce, the more opportunities you create, the more you get noticed, the more value you capture into your own life, the more effort you want to put in… you create a virtuous cycle with so much momentum behind it that it becomes an unstoppable virtuous cyclone.
- Never underestimate how much you’ll grow while working under the guidance of an older experienced person who is unreasonably demanding, incredibly supportive, and has your deepest respect. But understand this hard truth: To find that person and be worth their time, you typically have to be an incredibly skilled and hard worker in the first place. You are not going to run into that person if you’re mid and coasting.
- Pre-learn college. You get the most value out of a STEM degree when you 1. pre-learn your major, 2. place out of some courses, 3. get a reputation as “the kid breezing through above-grade classes,” 4. open the door to research/internship opportunities right away, 5. lean into them full-time, and 6. come out of college even more ahead than you came in.
- One year of hyper-acceleration can be the catalyst that ignites your trajectory. I’ve seen students do 2-3 years of work in a single year, kick off a chain reaction of fortunate events, and fly through doors they didn’t even know existed. The first year is the hardest because you’re fighting the inertia of your old habits. But once you’re in motion, it’s easier to maintain your speed. Make no mistake: even still, you have to keep all thrusters firing. You can’t let up. If you do, the gravity of mediocrity will gradually pull you back down.
- Learning advanced math and coding opens doors you don’t even know exist. You see opportunities others literally cannot even perceive.
- Self-study is a major life accelerant.
- For anyone interested in a STEM career, acquiring advanced technical skills early unlocks the most valuable thing in existence. Something even money can’t buy. TIME. If you acquire demonstrable, alien-level technical skills, you can get doors opened earlier. You don’t have to wait until college to do research projects under professors, or even paid internships. If you’re intentional about acquiring skills and putting yourself out there, you can kick-start a serious career before most people your age are even taking serious classes. And once you acquire early junior-level experience, that opens the door to early senior-level experience, and so on. Compound this virtuous cycle over and over and you end up way ahead. What’s the point of being way ahead? IT BUYS YOU TIME.
- 1. Learn the material before you take the course. 2. Blow the course out of the water, no matter how terribly it’s taught. 3. Be first in line for any “smart kid” opportunities: research, internships, recommendations, etc. 4. Compound the advantage. The more “smart kid” opportunities you capitalize on, the more you get. 5. Find your niche. You’re so far ahead that you have plenty of time to explore until you land on a career you love and are amazing at, instead of getting time-pressured into the first thing you’re decent at and don’t hate.
What all of this is for (7)
Build the actual life rather than an appearance, status game, consumption treadmill, or short-term substitute. (5)
- Whenever you are tempted to prove to other people that you’re doing well in life… Never forget that your goal is to actually do well, not to convince other people you’re doing well.
- I know someone who felt pressed financially living single on $70k, and thought all his problems would go away once he doubled his salary. He got a new job that pays $120k. Now he lives in a fancier apartment & keeps little in the fridge (eats out / orders in most meals), feels the same financial pressure, and thinks that pressure will go away once he starts making $200k.
- Always remember that your goal is to build your actual life. Not just other people’s perceptions of it.
- Always play the long game. Nothing really matters unless it matters in the long term. The short game is a trap and no matter how big you win it will leave you feeling empty at the end.
- Avoid games where the prize is validation from people you do not respect.
Real capability and direct action produce a kind of self-respect that status cannot replace. (2)
- There is a kind of self-respect you only get from becoming able to do hard things well. No status game can replace it.
- Your self-respect grows when you repeatedly do hard things directly, not when you repeatedly explain why you might someday start.
It does not yet route cleanly (1)
This claim does not yet route cleanly without contaminating another branch. (1)
- A lot of bad decisions come from trying to think globally before you can make locally correct moves.
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