The Dark Truth Behind Genius Minds: What It Really Takes to Learn Anything
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- Опубликовано: 22 май 2023
- Becoming an expert in any field has some dark truths that come with it. In this video I highlight four of these and give advice that you can follow to become better. Do you have any advice? If so, please leave a comment below.
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Thank you:)
"If you knew how much work went into it, you wouldn't call it genius. " ― Michelangelo Buonarroti
Love that:)
Exactly 👍
In some cases
Hell of true
Newton used to work super, super hard, until he had a deep understanding of what he was doing with mathematics and genuinely loved it. To fall in love with it like history’s greatest mathematicians will make the hard work easier, but it will still be hard af. Also I heard that the first time Newton sat down and started trying to read Descarte’s La Geometrie, he started working through the first proof in the book, and he just kept going and kept going until he had to give up and go sleep. He actually couldn’t complete it and failed to understand it the first time he tried to read the first proof in that book. Next time he sat down to study he worked through the proof he managed to understand it. Just to be clear that even super genius has to work really hard to become great, and a reminder to not have too high, unrealistic expectations of success in mathematics and understanding quickly. There will always be stuff you can’t understand and deep understanding takes time, and all of history’s greatest mathematicians had great struggles and pains and came through them with deep understanding and more love of mathematics.
Is it carl sagan in your dp ?
@@Look_who_is_talking my own drawing of him. 🙂
incredible! i think it helps a lot to read about the lives of great geniuses and humanize them, seeing that anyone, with fear and effort, would reach the same
I thought your text was amazing. I would just like to add one more genius: Albert Einstein. Albert Einstein published his theory of relativity in 1906, but he couldn't fit gravity into that theory. it was only in 1916 that he was able to understand and formulate the calculations that fitted gravity to his theory of relativity. 10 years, Albert Einstein took a whole decade to complete his theory. and most people think that he woke up some other day and just had the complete idea of the theory of relativity. Behind every genius are countless hours of pure work.
Thankyou this was very motivational
32 years ago, I decided to study English. My English level was a joke, but 32 years later not too bad because I didn't quit. In 2021, I decided to study JavaScript. It's hard, but I have never skipped studying even a day. I'd say I'm kinda addicted to it because it's fun to learn. I like your videos because you have huge passion for math. It is fantastic. Thank you.
That's nice to hear you never quit. It must be nice to be able to do this. I have absolutely no idea of the feeling. I guess it goes with the territory of your country. Either you're freaks of nature in the most genius way or you're flinging yourselves out of buildings. I don't know.
I've studied Japan for many, many, many decades (I'm absolutely assuming because of your name). A lot of changed and some has not for y'all. But, always wonder of the ones who "never quit".
I wonder if you've ever had to personally drive yourself several hours round trip to school, while having a job that sent you also 100's of miles around your state doing jobs all while maintaining a semblance of a life and keeping up with the few friends you can who understand. Or, having to pay for room and board, food, utilities, fuel, animals, etc reaching into a minimum of $1000s of dollars while keeping a part time that really doesn't begin to cover for my expenses going into debt as I try and maintain some semblance of studying and looking for my career job with the resume I have and keep trying to build and never quit. Honestly you have to quit at times and restart again or you will drown under US society as you're expected to meet everything but set up to fail it all. Well, some people. You somehow have maintained a life where you can study everyday. It's just so foreign to me. True hardship must be foreign to you, and if you say it isn't, sorry but I would laugh in an incredibly cynical way. Hmmmm. *edit* Excuses, not hardships. I shouldn't make excuses. *edit*
I wonder if I had been born Japanese, been able to get to school by walking or by public transport (time to study or get ready for the day which you can't do driving yourself), being surrounded by resources to learn or study in the type of schooling y'all have. I don't know. I'd probably be the one flinging myself out of a window. My soul and mind is too stubborn and free willed to be stuck in a box like that. You have to be stubborn not to blow your brains out here. Who knows. *edit* Again just veiled excuses. *edit* I'm genuinely happy for your success. I'm sorry for being so morbid and macabre. Have a great rest of your day and keep studying! Haha though, like I have to tell you that. :)
JS is lit! I started programming in around 2020-2021 too!
@@TechnicolorMammoth I don't have to sit and read books to study tho. I can watch "Midnight Cowboy" or something to pick up some vocab. Enjoy and learn. That's the way to learn things for me.
@@amukh1_dev274 I'm not good at making web pages or something, but I make browser games to learn how to code.
@@Bullet-Sakamoto this makes complete sense. I'm so harsh on myself. In my mind it's pencil to paper. That's studying. When, yeah, it's watching something in a language I'm learning, practicing an art form from a culture I want to build from. I'm sorry I was so negative. I guess I need to give credit to myself that I do study everyday. In a way I try to learn something new, especially in the things I want to learn. It's not pen to paper but maybe reading a few more pages on something or watching something or just like you said. Enjoying something about what I'm learning. You are completely correct. I'm honestly so sorry for my negativity. It was uncalled for. I appreciate your response. Thank you.
I found that friends of mine who received this kind of guidance and were helped with the discipline at a young age are the ones who achieved the most in their lives. As a parent, this is what I am trying to do, because my child is way smarter, and I mean waaaaaay smarter than I am, but in this society, it is too easy to throw all that away.
I hope he achieves his full potential. Yes, it is true, kids who recive such guidance and inspiration will have an edge. Also don't push the kid too hard, not that I am interfering, but sometimes parents might overdo things. Have a great life and I hope your kid achieves greatness.
It is sad when I hear someone define themself by their job or if lucky career. Discipline is good in moderation, but don't let it become your master. Find a goal and have the discipline to achive it. Then keep the ability to enjoy your achievement.
If your child is smart, don’t push her or he. Just make them trust in themselves and cultivate their curiosity. Don’t make them think they’re only worthy because of perfection or due to their goals, or else they’ll fall sooner or later in a deep self destructive behaviour. Just like Newton’s third law of motion, if you push them too much they’ll answer in an opposite way. Read about Feynmanns bio, that’s how you raise a gifted kid. I wish my parents had read it at least once, now I gotta forget every toxic thought they implanted on me: I was studying physics but due to this perfectionism I dropped out, 4 years later I’m getting back to science but this time with math. I do have discipline and advanced organization skills, but that means nothing when you have emotional issues. So, please, just let that child be.
@@Number6_ To be clear, discipline in this case means the habit of taking the steps necessary to achieve something, or the mental tenacity to insist upon a pre-defined and desired path in life. It isn't so much the goal of attaining a job or having a career as it is about achieving a level of activity and a degree of freedom that allows a person to experience and enjoy life to its fullest potential. Those people I know who have achieved high levels in a fruitful career actually don't spend that much time working... mostly they enjoy the plentiful rewards of time well spent.
@@FourthMatrix agreed as that is what I said.
I had bad teachers in school. Really bad teachers, i dont want to go deeper to this. I was good in maths till 15 years old. After that i stopped being interested in mathematics till my 29. i became a mathematical analphabet. Started selfstudying mathematics before 4 Months and the results are amazing. Doing my second math book on my own from harold r jacobs geometry. Also doing 1 hour a day mathematics multidimensional analysis. I want to study computer science and i also want to study physics on my own. Again, i was a mathematical analphabet. Everything is possible for him who will
I’d like to be an NBA pro but I’m only 4’11 “ .
#4, Sacrifices: not the most important, but the most memorable.
It was 1983 during my Junior year in Physics @ UC Santa Cruz. I skipped seeing Los Lobos open for The Clash with my housemates so I could study for and Electromagnetism exam. I did well enough to graduate and go on to Graduate School, and most of my career has involved RF/microwave stuff (which has been great!).
"Douglas, we have a ticket for you!"
".... I can't go, Mark. You can sell it there. Have a blast!"
That is a smart trade off and I hope you enjoy your physics path lot. That is impressive to path that notorious class.
Would you recommend studying physics? I‘m currently debating studying physics or electrical engineering. I enjoy both but I‘m not sure about to possible career choices you have as a physics major. I love learning about particle physics, engineering and maths but I‘m not sure if I want to pursue it for a living.
@@guntera3845 Major in engineering first and get physics later. In the career perspectives. Master calculus and differential equations first for that than take physics along with it.
@@guntera3845 Since you are interested in both Particle Physics and Electrical Engineering, research "Accelerator Phyics" as an opotion. The Phyisics and Engineering of a particle accelerator is on par with that of particle physics: high-power RF, superconducting magnets, high-vacuum, detectors, high-speed electronics, signal processing, data analysis, etc.
A Physics Degree exposes you to the fundamental phenomena upon which Engineering is based, so you get a great breadth of knowledge. Take the Upper Division lab electives to learn some hands-on stuff.
An Engineering Degree is more well-defined and specialized: employers know (or think they know) what Engineers do, but Physics can be more vague in their minds. Physics needs more of a "sales pitch"; employers are more open-minded these days.
I sacrificed years and years of my life to become a Clinical Scientist. I went an entire year without a day off as I worked in Autopsy on the weekends.
I continue to seek higher certifications all while being a mom. I went on 4-5 hours of sleep. I never felt more alive!!!
I had an amazing career and just retired. And being on this end of life feels pretty darn good.
I see all these kids struggle and I just think that hard manuel labor is good for the soul.
This chapter has been really great and surprising. Glad I never have to run the gauntlet like I did.😊
Good luck to the younger generations.
Good job ma'am. You kinda remind me of my mother
Hard manual labor is slowly killing me! If I’m lucky enough to find work ! And the only thing killing me faster than my occupation is the lack of an occupation. Im screwed either way
@@JohnSmith-dt2yb
Wherever you’re at, Mr. Smith, your local jail is probably hiring. If you like people and aren’t judgmental, you may enjoy it. There’s a lot of overtime. It’s scary…at first. It’s more recession proof than Trucking ☺️
I speak from experience
Wow. 23 year old here and reading this comment motivated me. I would like to find something that makes me feel alive. I would like to feel the same way about a path.. I really respect your mindset towards it and is something I'd like to emulate. Every job I've had, with the exception of rideshare, I've left. Jobs that I know I'm eventually going to leave. I would like to find something where its like "wow, i never want to leave this occupation". Thank you.
@@JohnSmith-dt2ybeverything is slowly killing you. That’s just life.
As a grad student i struggle so much with feeling inferior to my peers and feeling lost in the endless sea of mathematics, sometimes it's quite scary to think about how no matter how much I've already studied it all pales in comparison to how much is left, it's easy to fall into despair and feel a sense of futility when confronted with such vast breadth of knowledge and people much more talented than yourself, however i always remind myself that it's ok not to be the best and not knowing everything, the reason why i study mathematics is because i love its beauty and the satisfaction i feel after understanding something difficult, so long as you look inward to what makes you love your field of study instead of looking outward to compare yourself to others you won't lose track of your motivation. Math is hard and challenging, but it's beauty is worth the hardship.
Yes this is a really good mindset to have, especially as a graduate student. Honestly being a graduate student in math is harder than any job I can imagine. The amount of work required is intense. Good luck and keep up the positive attitude my friend:)
@@TheMathSorcerer thank you for the kind words. I'm a great fan of your videos!
The anterior Cingular cortex has you over whelmed.
Use the amygdaloid complex to cut out some of the unnecessary thinking.
If you’re ever feeling intimidated about your knowledge base as compared to your math peers, you could always make yourself feel better by spending a few minutes on TikTok 😂
Stop giving power to things with absolutely no power whatsoever.....!!
insane practice is one of my favorite things in math, that some people seem to not really get. math is a really odd subject, in that you can't just open a book and memorize stuff. you have to work really hard, for a really long time, until you really get to *know* the material over time very closely. In my mind it's much like getting to know a real person- you can't just read someone's profile description and claim you know them. relationships are something that must happen over a long time spent together. the connection we form with math is exactly the same. it always feels weird to talk about mathematics like that, but that's really how it is for me. after cracking your head for months (or more) against the same subject, slowly getting to know every corner and detail, you can't help but gain a weirdly intimate understanding of it. it's not something you can skip or transfer to anyone else, it's something you have to experience if you wanna understand it. that's what I find so beautiful about mathematics and I have infinite respect towards people who can spend their whole lives mastering one specific corner of their fields of study like that.
Beautifully said! I never thought about it that way. What really got me into mathematics was that, in a world where truth is often subjective, or nowhere to be found, mathematics offers the truth (based on a few postulates of course).
@@paul5324 now it's time to argue about those postulates :p very much agreed though, it's surprising how it can be so rigid and so creative at the same time
@@paul5324 Amen.
That's the thing. Deeping into subjects, at least in the way, they propose you at Uni doesn't make you like them more. Pretty oppositte. It's like going on a date with a beautiful girl, but after few meetings you understand, that she is cruel, impolite, rude e.t.c And after all you just switch to someone lese, OR if you are in crazy love, you stay with her, but in this way you rather deserve a pity, than a glory. Pretty love math, though. Like the feeling that I actually get something, not just "surviving" on the exams. Screw them.
I really like your comment it gives me the courage to learn maths even if I'll take time to grasp the subject
The greatest advice is to not always rely on others for the final answer. It's the same as knowing but letting others think they have the answer. Always verify for yourself and you'll be in the habit of always wanting to know. Seeking knowledge is what opens your eyes to what you do not know. The first stage of a genius
One sentence in your statement is how a person can get around someone's pride and ego to teach them.
Sometimes it's the only way.
Never met a professor that used that form of teaching method.
Why ? Because their know it all pride and ego prevented them.
Sorry, the sigma will give you a rough time. End up hammering on professors with that attitude.
😊
Well yeah because if you are actually smart then you’re an outlier which means most people you will ever meet will not be able to relate to you on that level so why listen to them regarding your potential?
2019 I started studying pre-calc around December. Now, I’m taking abstract algebra and approaching the end. Never thought I’d say this, but it does get easier. But then it gets harder
I am in that phase at the moment. I am learning math, stats and programming. When I started the journey an year ago, it looked very challenging, and there were moments when I nearly dropped out. But somehow, thanks to my passion, I persisted. Today, after intense sessions of learning spanning over 12 hours a day, I have reached somewhere, although it is still a long way to go. Thanks, dear, for your words of encouragment and motivation. They will keep me going.
do you have a job ? 12 hours everyday for 1 year is way more demanding than it sounds
It's not the self starting, or discipline when I'm going or making the sacrifices when I need to and then still having a life. It's the burn out. That's part of the balance I know, but I repeatedly burn out, and then spend the same amount of time I had spent learning before to get myself back in the position to begin learning again.
I have now spent several decade in the vicious loop of cresting one hill I conquered into the next valley I created from the previous hill. Over, and over, and over. This has caused me to lose jobs, fade out of university, fail to convert my resume into a career. I am sick of falling harder than I climbed.
Thank you, @TheMathSorcerer. Sometimes what you say builds me up with confidence and other times it crushes me with reality, but you are a great resource for a long time self learner. I try not to read your comments. Seeing others successes doesn't inspire me, it just reminds me of my shortcomings and failures. It is fuel to my fire in a way.
It would be nice to be talking more about the "falling in love with the process" thing. The psychology of it is definitely interesting.
I don't think there is much to say about it: you know whether you love it or not. It's like asking someone to explain why they find plant life interesting. They just...do.
You don't work and learn to achieve something, you do it because the process itself of learning and understanding give you pleasure
because it’s exciting, it’s fun, a challenge, i’m always competing with yself to see if i can learn faster or figure something new out
I call it "learning to love what you do".
@@geometerfpv2804 I partially agree with you. What I don't agree on is that many times we don't fall in love with the process even if we would need to, so what I'm asking to explore as a topic is this: how to make yourself fall in love with the process of learning something that initially does not spark interest or strong passion
To learn anything worthwhile (a powerful skill like reading or writing), you must unlearn anything that holds you back. That is to say, you have to relinquish your resistance to learning, which is a frustrating inner emotional experience. Self-inquiry is necessary to undo the awful, unpleasant emotions that arise when you focus on something. In other words, consciousness work is fundamental. The more awareness you have, the easier it is for you to see what holds you back with clarity.
A technique I learned while studying algebra is to prove the concepts.
Break down concepts and formulas into variable data sets and describe the relationships between the data sets.
Doing this teaches you the WHY behind the concepts instead of just the HOW.
HOW, is memorizing how to do a formula or concept.
WHY, is understanding how formulas and concepts work on the data sets involved and the relationships formed between them.
Many textbooks fall flat on WHY and resort to HOW.
Fortunately, you can discover WHY by reverse engineering HOW.
It is very encouraging in whatever field you pursue your expertise.
Thank you, it was exactly what I needed to hear today.
This is helpful. This inspires me. I am studying pre-calculus at a Subway. It’s after my shift at a grocery store. It’s raining out. The pre-calc doesn’t make sense. I have been putting in effort everyday to understand. The comments have inspired me as well. It helps me visualize a better future learning new things.
I feel really lucky finding this channel . Thanks for the great advices as reflect a real path you followed . I am 50 . Learning is my way of living , surviving and enjoying this crazy world . Big hug !
I got kind of half-introduced to self-study through Distance Education (DE), which I did for a year before going into undergraduate Engineering. With DE, you would get a textbook and Study Guide from which they added supplementary material, assigned homework, etc., and that was it. Not much different than just following the textbook, except they also assigned you a telephone tutor with whom you could check in every once in a while. It turned out that I didn't need much tutoring, so I just checked in mainly to let them know I was still at it. I was motivated and hungry to do well on the courses, and after about a year of that I ended up on the Dean's List and used my marks to get into Engineering. I actually found that to be a bit of a letdown compared to DE. In the first place, there was the commute to and from school, which could eat up as much of two hours of study time. Then there was the actual fact of having the book read to us by a teacher at the front of the class, which I'd been doing since kindergarten. So if the education system isn't effective enough to wean students off that after 12 years, then how effective is it in general? Is it just the babysitting service that some claim it is, some place to sent the kids while their parents are out working or just given some relief from domestic life? I'm not sure, but one thing DE taught me is that I can read a book just as well as the next person and I don't need someone to read it to me, thank you very much. Self-study as I see it is really the answer for a lot of people, and it gives them much more choice in the things they want to pursue. Mathematics to me is the greatest subject of all, and I want to pursue it more and more as my career develops in the direction I want it to go. I was first inspired to get into mathematics by Edward Thorp, the mathematician who graduated around 1958 from UCLA, then went to his first mathematician job at MIT where he worked with Claude Shannon (the Father of Information Theory who wrote what many feel is the greatest Master's Thesis in the world) on various casino gambling games, most notably Blackjack where he became so good that they effectively banned him from casinos everywhere. His response was to reveal his methods to the public through his book "Beat the Dealer", which many read and learned (and bought the book), so now casinos have a never-ending army of highly skilled, highly competitive Blackjack players instead of just one, and mainly self-taught I would think. You'll know how well you did by your winnings - just let the dealer be your exam proctor. Thorp then took his pursuits in a new direction, the stock market, where he applied his math to hedge fund management, and wrote about it in his paper "The Kelly Criterion in Blackjack, Sports Betting, and the Stock Market", which for anyone handy with Google, is out there probably in a number of places. Interestingly enough, even though his paper is out there for all to read, most people don't seem to be able to figure out how to apply it effectively to the problem. It reminds me of something he said in his book "A Man for All Markets", which was that when he started looking at the stock market as his next foray into applied mathematics, that he was "both surprised and encouraged by how little was known by so many". In any case, casinos and the stock market might be a good source of funding for aspiring mathematicians - especially the self-study kind. As for me, intraday trading using a Kelly Criterion-based position sizing strategy seems to be the way to a rewarding career in applied mathematics. I'm enjoying it very much and am currently studying the Kalman Filter as a means of implementing it. But in any case. I'm a big believer in self-study, and have been pretty much all my life. It's gotten me in trouble at times for being "too smart" for the authorities I was under - so be forewarned that some people out there would like nothing more than to make your life hell for being good at what you do, or at least better than them, but if you love being smart, this is the price you might just have to pay for being smart in the first place, and not hindered by lack of education in the second. Self-study lets you just read the book, do the questions, and learn the material. So do I believe in self-study? Absolutely. And there's never been a better time in the history of the world to do that. I would encourage anyone to consider it!
7:34 According to me, one of biggest challenge to overcome these days for most of the youth is to replace over-thinking by actions because we think a lot about doing several things but actually do a little.
First video I’ve seen from this channel. I studied applied math in undergrad, and 10 years later I’m studying to be a CPA. I needed this speech today. Subbed. Thank you. 👋
Sometimes life gets in the way and it is OK. I did 19 hour days as a caretaker for my parents. Lost a lot of time in regards to learning but they were worth the sacrifice. Now, I picked up where I left off...keep going, don't quit
There's this really good quote by David Goggins - "A lot of dreams die during suffering."
I try to remember this quote every time I self doubt.
MANY DREAMS DIE WHILE SUFFERING.
-David Goggins.
I've spent the last 5 years learning computer engineering/emulation and compiler design at a basic level. I am nowhere near a master of my field, but the amount of knowledge gained allows you to link together new concepts you learn with what you already know thus creating new ways of thinking of the subject in question.
I think the most challenging part of learning for me currently is sticking to my chosen field, as you can easily get distracted into focusing your learning into another field.
Enjoyed watching your video which brought out some powerful points. 👍
This is such an inspiring and positive message. Thanks for the timely reminders about what it takes to self-improve while maintaining balance and good mental, emotional, and social health in life!
What an excellent video. To answer your question as to what the greater sacrifices are, I'd offer up the idea that letting go of our self-created image of what, or who we imagine we are is a big sacrifice. Sacrificing ones ego, so to speak, in order to overcome whatever challenges are in front of us is monumental and often unforeseeable. Typically, it means letting go of social groups, friends and various identifyers. It is always worth it. Make the change!
I’m a senior math major, but one of my favorite comments from a (philosophy) professor was something along the lines of, “Learning is a very painful process.” That’s not to say that it’s misery; it’s ultimately beautiful and rewarding. However, like physical exercise, it’s a strenuous process.
I think it's just question of being decided. I have always been a huge procrastinator for all my life, until i started college the past year. I said to myself "I wanna succeed and be top", from then until now i study on average 10 hours a day, it was incredibly hard at first for the sacrifices I had to make, but the rewards... are unimaginable
The untold truth on the point that nobody discusses at alll!! Thank you soo much for portraying them.. I have started to work on my aptitude maths skills & it's already been a year as well as working on learning CALCULUS, Physics , Chemistry.. Trying to be much more better in learning vocabulary to implement those in my work or writings. Literally, I'm becoming adept in these day by day.. Trust me at that time my sacrifices become my inspiration!!🦋 That yes I'm proceeding like an impervious person to persue my dream 💕
Your videos are really good. I am an high school passout and preparing for University mathematics and chemistry research, from your videos I started to study everyday and currently I am able to study at hours a day everyday straight. Thanks for this amazing content, I hope my knowledge will be helpful for humanity
You have some of the best ideas and study methods, the least you could do is publish them on a different platform from RUclips or blog them. Thank you for the quality and effort you put into your videos.
The hardest part for me is balance. My ADHD is probably partly to blame, but I find myself having weeks where I do nothing and am constantly procrastinating, and then weeks where I do nothing but math, totally destroying everything else for the sake of it. It's difficult for me to relax, especially when I know I have a lot of work ahead of me... but I need to realize that time to relax isn't time wasted, it is crucial in recharging my energy for the next work or study session.
You may have a goal, but it also is nice to not put so much pressure on you. Learn to give up some times, and then return.
You described my ADHD perfectly.
Smoke
Yes, finding that balance between obsession and “Fun hobby.” My problem as well. If it’s not a source of enjoyment (but instead a source of stress) it ain’t worth it. I really like the quote “Anything that costs you your peace is too expensive.” There CAN be fun and peace intermixed with intellectual goals, but if a person can’t successfully combine the two then it’s not worth it.
@@bundydryandlime That ain't really a solution though, more of an escape. I do smoke, but I have to be wary around it cuz I'm prone to addiction.
Learning mathematics helped sharpen my mind. Having a genius tutor also leapfroged my mathematical progress and then all of the tutoring on RUclips and on DVD's added greatly to my education and abilities.
Growing up in a college town with a 4 story library and having access to and owning computers also gave me a boost.
If someone believes leaning is hard, it will be. One of the most significant epiphanies I've ever had was when I realized that I had a negative association with learning. Once I cleared that block, learning became easy, fun, and an actual desire. I literally had to learn that learning is FUN, not hard. Once you realize that learning can be playful, provided you have a genuine curiosity about the subject, and know that with every failure you're one step closer to mastery, it all becomes a fun intellectual challenge that consumes you... because you're passionate about it.
There is truth in this...but also, it hurts, man. If you are doing really difficult stuff, it absolutely hurts. Math is my religion, I love it profoundly...but it beats the snot out of me. I am 5 years into the PhD in Riemannian geometry. Math is just such a colossal enterprise, and I am so tiny. It is not as simple as "be playful, then it becomes fun". That's true, but there are playful tasks, and there are really freakin' hard tasks. It's playful to learn proofs about how the curvature of curves in 3d space can tell whether the curve is tied in a knot (Fary-Milnor theorem). This feels playful to me, I do it for fun.
It is not playful to read research monographs on homotopy type theory. It feels like trying to read Chinese with no kind of translation resource: just observing things like letter-frequency patterns, and figuring it all out from scratch.
You can keep a good attitude towards it for sure...but it hurts. All the fun stuff has been done. To do original work, you have to get pretty messy.
Counter proposal, learning is just observing natures. You can take your time, or you can force it.
If you try to learn without developing intuition you will just forget it(time wasted), just learn to ask questions, and observe natural consequences.
I began learning English on my own when I was around 13 years old. As a pianist, I studied classical music for the first three years in school. However, I was drawn to Jazz, Rock, and Pop, and I decided to learn these styles independently. The experience of discovery brings me great joy, which is why I often prefer to learn without a teacher. In addition, I taught myself to play the guitar. My education is a lifelong pursuit: I have a deep love for reading books on a range of subjects, from philosophy and history to programming. I don't require external motivation because I have developed my own discipline. I believe that anyone can achieve this with sufficient drive, focus, and motivation. 🎉
Make me wanna read Books on a range of subjects
Math sorcerer,your channel is unique and a gift from heaven for self- educating math students like me.Thank you so much for the continuous inspiration and motivation.
Thank you Math Wiz. You always help.
Thank you for spending the time to create and share this content 🤙🏾
One problem that holds people back is the belief that if you have talent, it will be easy. People can take this to an extreme and avoid anything that takes effort and that they don't appear to be good at straight away. But it turns out that people who know that things take hard work and commit themselves to it end up achieving. This has been shown in Asian maths performance, for example, when compared to the western attitude regarding the need for talent. Unfortunately, other aspects of attitude layer on top of this to keep people down. This ends up with a contrast between fixed and growth mindsets, where the latter are the better learners.
There was a guy who studied math 19 hours a day and actually got a lot out of it; Paul Erdt or some name like that. With colloboration, the guy pumped out over a thousand papers.
He got a lot done. But there’s a lot of things he didn’t have because of that.
Seemed to fulfill him though…
Hungarian mathematician Paul Erdos.
yes, Paul Erdős one of the most productive mathematicians have ever seen.
He was on amphetamines, a true fkn G amongst normies 💊🧑🏫
Atliest he didnt regret it
Its more sad for those that actually regret it
It's very uncommon to be able to study higher math productively for more than, say, 5 hours a day. Keep in mind Erdos was also prescribed amphetamines. It was legal at that time.
From one sorcerer to another; thank you for all you do to help others
One way to find out if you're into a particularly subject or just doing it on a whim is to evaluate how dedicated you're willing to be in studying it and how much you actually enjoy it. I used to doubt that I even have the motivation to pursue computer programming until I not only realized how much fun it is to learn about it and solve complex problems with coding but have actually forgo playing video games for days just to do so.
I'm currently learning computer programming, and experienced the same thing! I have a passion for classical music, and give piano classes, but I recently figured that it's not what I want to do for a living. I started studying computer science 2 weeks ago, and there is not a single day that goes without me practicing! I don't even want to play games (one of my passions) anymore! I accidently found out about CS50, and now i'm in love with C language. It's like a whole new universe revealed itself to me.
It is a game to me. I love it. I love C but Python is my fav for now
It's indeed an insightful and informative video with such a wonderful explanation. Honestly speaking, I came across your content while I was searching for the concepts of mathematics which is needed for Neuroscience since I wish to pursue my career in Neuroscience. Im immensely grateful to you for providing me with all the necessary information which I needed through yout content.
Thanks for spending the time to create and share this content 🤙🏾
Your words are a great motivation. I start today, we see us in a year to discuss the results.
thanks the great maths sorcerer. you dont know how much your videos helps me. thanks and take care
First of all, thank you for all the inspiring videos. Keep up the good work.
I'm probably the wrong person to make a statement about how a genius is doing.
But from my own experience I can say that dealing with setbacks is crucial. At first, it often seemed to me that all the time I had invested had been in vain. They show me my current limits. But I know from my own experiences that I have been through this before and I have found a solution for it. Why should it be different this time?
I'd say having your eyes open to the world around you. Taking all of your senses and attaching them to your knowledge helps in the understanding of what really is. 20 yrs as a mechanic and now a preschool teacher I can use what I like to think of as genius and give it back in the best of ways. 🥰🤗
These sound basic but are just as important, and can change the way you learn and comprehend things ,
Good Work Sir👍
I wish I had a math teacher like you. Great video.
You just never know how important this kinda content is until you come across a video like this and it renews your motivation. Thanks. I'm on a journey, I don't know what I'm doing but I started out trying to learn C++ a year ago and now a year later I've never touched any C++ book or watched a video on it but I have learned Python and Java in just a year. It's been a few weeks now that I have been feeling stuck but I saw this video... I think I'll give myself a break. It's not easy but it's possible.
They also say you should learn C before C++.
I'm sure your video will be inspiring so many people. I was thinking in a way, one doesn't really learn geometry, one explores geometry. There are so many fields that are just endless. But with a little work we can scrap together a lot of tools.
Very true!
All you need is "patience" ...and you can learn anything..
Subscribed because you said it’s going to be hard, and that there’s no shortcuts. Many thank.
I think that the thing keeping a lot people from achieving what they want-Education wise,but not limited to just education-is the fact that they blame external influences for their lack of,or inability,to do something for example, someone went to a terrible school, had bad teachers, or maybe even had some issues in their life, and because of that-said person-might think that there’s no point in trying because no matter what they do they’ll never achieve anything. So in concluding remarks don’t let anything, even yourself, put you off your journey.Good luck to everyone.
alright, but why aren't you blinking?
Thanks for this. This is going to help me as I go along my years. I'm 30yrs and sometimes I've felt like I'm no where near success because I'm not smart enough. Only to realize that I wasn't prioritizing my time and putting more effort and hard work into my work and skill. I procrastinated a lot as well but I believe I do have to work hard work smart, put more effort, and discipline.
I deeply appreciate the insight from this video.I will definitely incorporate these ideas when I study.
I would say you covered how to learn, and be the best at something pretty well. Without being born with it, I would say the most difficult part of gaining an actual genius mind, is reprogramming, and opening those new pathways in your brain.
Thank you so very much. As I endvour to studying hard,I pray that I will follow the above test...... and the most Paramount thing is to have interest in whatever we study.❤❤❤
I'm behind the starting line so I gotta catch up while I'm young, it's a good thing I came across this channel
Thank you! I needed to hear that!
Excellent video, and saved for future viewings. After speaking with a family member who struggles with the learning process, it seems that, as an additional sacrifice, we must develop a greater tolerance for ambiguity. That is, as learning implies the potential for transformation, we might find certainty sacrificed for a paradoxical sort of clarity, where we know what we believe and why we believe it, while acknowledging the limitations and faults that remain -- many of which are radically unknowable. It can be painful and disheartening to find that greater understanding brings with it a greater awareness of our ignorance
Thanks for the awesome advice will definitely be applying it to my own everyday life keep up the good work
Dude knows so much he rarely even blinks LOL
I graduated with my CS degree about a year ago, and have been unable to get a job in that field. So I've been studying and struggling, and it hasn't seemed to click. But your videos give me a lot of hope it'll work out eventually. You also got me back into wanting to learn mathematics again. I completed your proof in set theory course, a math proofs course and a discrete math course on Udemy in like a month and it has been so rewarding because unlike programming, for whatever reason that's all been clicking pretty fast. I'm relearning graph theory now, and I hope that the comparative "newness" of that field means I can get up to speed there more rapidly than if I focused on, say algebra or geometry. But please keep up these style of videos, to keep a long story short. And please consider doing more proof based Udemy courses.
@@viziocostar398networking as in connections in the industry? How to even beat that
@@uwu.-.5873 meet people. Start with social media. Join a community
This Two Videoz Will Help:
ruclips.net/video/_xPr8ySva2E/видео.html
ruclips.net/video/674HjbCJpNI/видео.html
Learn a trade
You need to do the Google Data Analytics Certificate. That could get the ball rolling for yah.
Very inspirational, thank you.
You're my inspiration :) I want to get into machine learning , so maths is something I need to be extremely proficient in despite at the fact that I suck with it.
If you want to get into machine learning you need to understand logic of grammar, not so much math. Machines can learn math without you.
Learn python and batch, then try and make an ai. You will fail. Next make a pdf reader. After you do this, you can write machine learning
I was so good at school with 10 grades until High School then I become so lazy by spending my time with video games but I readed philosophy and I was interested in history, when High School ended I started working with Graphic Design it's been 2 years (I'm not to proffesional) to be honest I hate this job and my parents are not that proud with me because they wanted from me to study medicine, chemistry or physics, I found this channel and its giving me hope in 2024 to start college of Physics I think it's to late for me but 'it is what it is' , I'm going to start learning again math and physics for one year then to join College. :) just to make my parents happy.
Definitely buy the calculus books and physics engineering. Physics college require calc and it calc based physics.
Wonderful advice! Thank you so much. God bless you. ♥️♥️♥️
Exactly what I need to hear as I go into my final year of my degree! Thank you!!
I’m really working hard to be one of the best music producers and this does get dark sometimes but not giving up in the quest to become genius. Thank you for these dark truths.
Nice explanation, truly inspiring.... Get on , sir..... Looking forward
This is the type of content i subbed for, thanks sir
Thank you for the video. Self invest in the classes or buying them will work in long run. I remember took python and calculus 2 unprepared lot and it causes disaster result in grades.
Yes
I will practice more and more ✍️ .
Thanks for the video. ❤
This advice should be mandatory for anyone going to college. The path is sacrifice and difficulties, but the reward, in the end, is worth every effort.
Excellent Wiseman. Agree with all what you said... thanks a lot
Thanks for your suggestion.
Thank you for this man. Truly lift me up
Excellent video. Thank you for sharing
Never seen your channel and very good advice here but could hardly follow because I was so focused you why you never blink. Lol great message
I might go to university in 2 years, and i'm already learning calculus on my own, i go to a school that is away from the city so the classes arent really good
I don't really want to become excellent at math thats not my primary goal, but there's so much to learn that i take it as a puzzle that i have to solve
Good advice and insights. Thank you.
Hello, thank you for everything and for being you, for coming to this planet🙏🏻 Eng is not my mother tongue, but i would like to ask, if you allow for it, where can i find a step by step CS and Maths university programs and books and videos for free so i can self study them? Thanks a lot 🙏🏻❤️
Takes a lot of review too! Go over the old stuff, and then tackle the new. I think of it as "packing in." The older stuff you need to review less often but need to touch upon. It's a kind of machine code where the new stuff is stacked and the old popped and stored elsewhere known as carry flags. Reviewing *levels* is necessary--the newer data "pushed" into the brain, the more frequent it needs to be reviewed, so eventually can be "popped" into other stacks of storage room. The brain is not much different than machine language when it deals with data, except ours is organic and requires much excruciating effort at a consistent basis.
Started back in 2010. Took a serious look at math aptitude in order to better understand Alternating current. Decided that I would embrace it and enjoy it instead of it being a chore. Ended up learning about math books not really being written for beginners. They are written for the already exposed(Math for beginners ). So many books on Trig without the functions table.... Self learning took me to understanding things more than I could have imagined. Never thought that my inquiry would change my view for ever. A ex professor friend of mine Gary, God rest his soul once told me that I had a great grasp on science, and that I would need to see it mathematically. Another friend Dark Mark, God rest his soul too, once told me that I would need to understanding Trig in order to have a greater grasp on the Alternating Current wave form. They were both right. I'm glad that they had told me this. The last thing that started the journey was permission to understand from the most high. 8:04
This relates to a lot of things. I want to get good at fighting games so I study. I study the frame data, my opponents, etc. Great video
Great video! I really appreciate the insights you shared about the dark truths behind becoming an expert in any field. It's inspiring to see your passion for math and how it has motivated others, like Shinji Sakamoto who decided to study English 32 years ago and never gave up, or Afro_Physicist_314 who just finished their first year of a physics PhD program and finds your math videos helpful. Your dedication to teaching and providing valuable content is making a positive impact on people's lives. Keep up the great work!
Thank you so much for the video...❤❤❤
I've been doing programming for 11 years, its time for me to branch out and I cant think of a better place than mathematics. It's the foundation for so many interesting fields like AI and games.
Thank you sir, that was very, very inspirational
Bro you revived your channel with this video keep posting this type of content and you be relevant again
I love your video! I will write about my experience too.
Last year I joined the University of Computer Science and Mathematics, I was really a lazy person, I failed most of my exams, even if I worked hard, I had a lot of friends who gave up because they didn't accept their failure, I wanted to give up too, because everyone from My family members said that this specialization is not suitable for me, I did not have much confidence in myself, but my father believed in me and I felt that I was the only hope for his life,,,, I repeated the first year and disappointed a few of his hopes, it was a very difficult feeling, ...But then I found that I have no choice in this life but to succeed. I thought that when I grow up I have to find a job to take care of my family. I changed my way of thinking. I took my academic degrees as a big responsibility in my life. I thought failure was bad, but I I never thought that I would find a day to thank God for my failure, this year was the best year of my life, I learned a lot from my mistakes, and I met a lot of wonderful students and professors who inspired me, not only that, I passed, and tomorrow is my last exam Even though I never left anyone halfway with the excuse of success nor did I ever give up doing the things I love, I became someone who inspires friends and other people not to give up. Failure is your best teacher, so never be afraid of it. And just do what others tell you you can't do.
Thanks for reading.
Im learning english too, youre a BEST, I mean, I BEAST.
youve taught me lots of things for my Life.
Greetings from Medellín 🎉
I am studying mechanical engineering and I want to reach as far as I can go, all of these you said are so to the point, you have to sacrifice sometimes even your mental health to reach to the top...
By looks you doesn't seems serious person but your talks are intense, i like it.
Thanks sir.
Fantastic video, excellent for all them want lear thinks, I engoing learning english, you video it's the best!
Full disclosure I'm graduating Medical School but my heart arcs towards physics and mathematics - As I master medicine I truly hope to find inspiration into a deeper understanding of maths and theoretical physics I'm gravitated to. Thanks for these vids... much appreciated!