Terence Tao Teaches Mathematical Thinking

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  • เผยแพร่เมื่อ 7 ก.พ. 2025

ความคิดเห็น • 129

  • @rx1639
    @rx1639 9 หลายเดือนก่อน +114

    1. Meet Your Instructor -
    2. Terence Tao's Journey - 03:50
    3. Demystifying Math - 10:34
    4. Math in Your Everyday Life - 18:15
    5. Choosing the Problem to Solve -
    6. Solving Problems With Story - 26:10
    7. Transforming Problems - 35:50
    8. Games, Cheats, and Puzzles -
    9. Math Fails -
    10. Stumped - 1:01:30
    11. Finding Strength in Numbe... - 1:08:20
    12. Onward - 1:16:40

    • @GeoffreyTobin
      @GeoffreyTobin 5 วันที่ผ่านมา

      1a. Masterclass 1:26
      2a. Find a Mentor 5:15
      2b. Mathematicians Are Humans, Too 6:19
      3a. Is There a Math Gene? 11:27
      3b. Abstraction 13:55
      3c. Math is a Language 15:17
      3d. Maths Makes the World Less Scary 16:50
      4a. How to Hang a Curtain 20:00
      4b. Math = Creative Freedom 21:55
      4c. An Unexpected Approach 23:22

  • @JustJervon
    @JustJervon ปีที่แล้ว +34

    I came for the math lesson and left forever changed. Thank you Terence Tao. Great mind.

  • @excaliburhead
    @excaliburhead 15 วันที่ผ่านมา +50

    I went to high school with Terrence and used to help him with his homework. He’s coming along.

    • @khanyisilebotshelo8362
      @khanyisilebotshelo8362 9 วันที่ผ่านมา

      😂😅

    • @keorinkoluexl6365
      @keorinkoluexl6365 8 วันที่ผ่านมา +9

      The funniest part about this is Terrence went straight into college n didn't attend a high school

    • @puncifikator3870
      @puncifikator3870 7 วันที่ผ่านมา

      @@keorinkoluexl6365 he did attend high school at ~7 years old

    • @hockng5610
      @hockng5610 2 วันที่ผ่านมา

      Maths is easy for people who had never taken a maths class. It sounds like you are one of them.

    • @excaliburhead
      @excaliburhead 22 ชั่วโมงที่ผ่านมา

      @@hockng5610 how do you figure that? Because I made a joke?

  • @papaonn
    @papaonn ปีที่แล้ว +83

    My depression machine for today just stopped working.

    • @leavingsoonduetocensorship3453
      @leavingsoonduetocensorship3453 14 วันที่ผ่านมา +3

      Do some math...it'll come back.

    • @pillowmcblanketson6909
      @pillowmcblanketson6909 3 วันที่ผ่านมา

      @@leavingsoonduetocensorship3453 then do some more and understand the solution then it will go away :) an endless cycle

  • @abelfernandes6862
    @abelfernandes6862 หลายเดือนก่อน +31

    God Bless Terence Tao .

  • @rx1639
    @rx1639 9 หลายเดือนก่อน +26

    * 0:00 Introduction to Terence Tao and the video [0:00 - 1:00]
    * 1:00 Terence Tao's experience with math [1:00 - 5:22]
    * 5:22 What is mathematical thinking and why is it important? [5:22 - 8:32]
    * 8:32 How Terence Tao approaches problem-solving [8:32 - 12:12]
    * 12:12 Terence Tao’s mentors and role models [12:12 - 15:33]
    * 15:33 Feelings of imposter syndrome and intimidation in mathematics [15:33 - 18:22]
    * 18:22 The beauty of math: making connections and unexpected applications [18:22 - 23:22]
    * 23:22 Framing problems with narratives and analogies [23:22 - 28:12]
    * 28:12 Transforming problems and using different approaches [28:12 - 33:27]
    * 33:27 Intuition and physical metaphors in problem-solving [33:27 - 36:22]
    * 36:22 Making math easier to solve: starting simple and working upwards [36:22 - 41:22]
    * 41:22 Collaboration in mathematics: working alone vs working with others [41:22 - 46:22]
    * 46:22 The unreasonable effectiveness of mathematics [46:22 - 51:22]
    * 51:22 The story of mathematics: a never-ending TV series [51:22 - 56:22]
    * 56:22 Conclusion [56:22 - 1:21:24]

  • @MarleneWalker-su8ku
    @MarleneWalker-su8ku 11 วันที่ผ่านมา +1

    Not only is Terrence Tao one of the greats in Mathematics, he is an extraordinary humble man and fantastic communicator of Mathematics.

  • @letteracura
    @letteracura 7 วันที่ผ่านมา

    One of the best video i've ever see. Thank you for sharing! Best wishes to you and Prof. Tao, a true genius and an human being to look up to on my behalf

  • @mtaham123
    @mtaham123 16 วันที่ผ่านมา

    This is inspirational with respect to the crisp clarity with which he speaks about the "essence" of mathematics

  • @SultanInStem-t3i
    @SultanInStem-t3i หลายเดือนก่อน +96

    "We are not wizards or aliens. We are just regular people solving problems"

    • @nickgilbert-o8w
      @nickgilbert-o8w 25 วันที่ผ่านมา +8

      He is far from a regular person but I appreciate his modesty haha. He is a brilliant mind and very humble.

    • @abderrahmenkasseh6532
      @abderrahmenkasseh6532 15 วันที่ผ่านมา

      all scientists have the ability of save information from the first time and Analytical mind
      not all the people heve this gifts

    • @IRS-internal-revenue-service
      @IRS-internal-revenue-service 13 วันที่ผ่านมา +2

      Yes! People think they are just stupid and others are smart but the only reason they are 'stupid' is because they think that.

  • @kassimharuun
    @kassimharuun ปีที่แล้ว +15

    Great mathematician a live he reads 60hours a week he inspired me

    • @x7m50d
      @x7m50d 6 วันที่ผ่านมา

      So what, how much he reads in one day?

  • @chenchenlingcat
    @chenchenlingcat 10 หลายเดือนก่อน +6

    MasterClass陶哲軒Terence Tao. Almost all orbits of the Collatz map attain almost bounded values. arXiv. 2019-09-13 [2019-12-16].

  • @korakiyo
    @korakiyo หลายเดือนก่อน +6

    The way Professor Tao refers to people as 'the very smart people' feels so humble, and I can’t quite explain it concisely, but this video is something special. It weaves together personal experiences, tough moments, and insights that can only come from deep, long-term engagement with math-like understanding what makes it truly fascinating. I was deeply impressed, and honestly, this is the kind of video I’ll come back to over and over, especially when I’m struggling with academics or anything else. I don’t know if this video is official, but it’s incredibly insightful, and I’m truly grateful to Professor Tao for sharing such invaluable wisdom.

  • @quynhduong6735
    @quynhduong6735 6 หลายเดือนก่อน +6

    Thank u for inspiring me to study science again 😊

  • @MarleneWalker-su8ku
    @MarleneWalker-su8ku 9 วันที่ผ่านมา

    I understand the polling accuracy not being determined by the population size but nonetheless have to give it some quite difficult abstract thought , knowing seawater of a large ocean is salty from just tasting a tiny drop is such a beautiful and simple analogy I actually gave the mental equivalent of a gasp.This is lovely insights into thinking, for a trained mathmetician and beginner alike .

  • @joshqaszq4773
    @joshqaszq4773 4 วันที่ผ่านมา +1

    I wasn't really expecting "Evil Terry" to make an appearance 😂

  • @alexander_adnan
    @alexander_adnan หลายเดือนก่อน

    Regarding the puzzle 46:00 of the counterfeit coin in the 12 coins stack:
    “ the puzzle is solvable in 3 scaling steps if you consider an initial hypothesis ( that is the counterfeit coin have less weight than a real coin or vise versa)
    Otherwise if you don’t consider such initial hypothesis (condition) then puzzle have only 4 scaling steps as optimal solution”
    Quite a cool puzzle for the kids and indeed the math that comes out of it is quite interesting 🤨 … thanks dude

  • @ttt2482
    @ttt2482 หลายเดือนก่อน +2

    Amazing 👏🏻👏🏻

  • @MarleneWalker-su8ku
    @MarleneWalker-su8ku 9 วันที่ผ่านมา +1

    I like him describing anthropomorphising mathematical objects.I remember reading the classic Spivaks Calculus (highly recommended) and was struck by how he described some functions as pathological.

    • @ademarbenitezaranjo8299
      @ademarbenitezaranjo8299 5 วันที่ผ่านมา

      Spivak is such a must read ! I have good memories of it.

    • @MarleneWalker-su8ku
      @MarleneWalker-su8ku 5 วันที่ผ่านมา

      @ademarbenitezaranjo8299 Yeah I love it I have not finished it yet and am just an enthusiastic amateur, working on a few books simultaneously.His chapter on limits helped me completely understand them (apologies Professor Wildberger).I must read more which I have come to realise is a good thing in many respects.There are a lot of stones on the beach, they seem connected and to have come from the same place and with a lot of effort (for me at least) I can lift them and see what's underneath. Kind regards.

  • @jasonbellCS
    @jasonbellCS ปีที่แล้ว +4

    Thank you for this

  • @TreasurerFayettevilleBobMcNama
    @TreasurerFayettevilleBobMcNama 5 หลายเดือนก่อน +8

    I’m no mathematician but I do believe that your chances of getting your shoelace caught in the moving sidewalk are greater once you get on the moving sidewalk…thus though not quicker, it does appear to be much safer to tie your shoe first.

    • @MrMctastics
      @MrMctastics หลายเดือนก่อน +4

      Risky shoe tie theory chapter 27

  • @arcfired3615
    @arcfired3615 3 หลายเดือนก่อน +4

    Around 24:50, Tao discusses Kepler studying wine barrels and mentions that "the dependence of volume on the shape of the barrel was at a local maximum." He explains that if you made the barrel 5% wider or narrower, the relationship between stick measurement and volume stayed roughly the same. But isn't this true for most shapes - that small changes result in small changes? What specifically was at a "local maximum" here, and what made this relationship mathematically special compared to other shapes and measurements? Would love if someone knowledgeable about Kepler's barrel work could explain the mathematical details behind this!

    • @lj_fin827
      @lj_fin827 หลายเดือนก่อน +4

      The reason that the local maximum matters is that in continuous functions the derivative is close to zero near a local maximum. A local maximum, minimum, or inflection point is the point where changes to the shape will cause the smallest possible changes in volume

  • @samisemir8209
    @samisemir8209 26 วันที่ผ่านมา +14

    The secret is very simple "good quality of education" + "suppotive parent's and teaching them since young age , related to there field".

    • @nickgilbert-o8w
      @nickgilbert-o8w 25 วันที่ผ่านมา +4

      Exactly this, majority of the world be far more educated if stable homes and education were made common place.

    • @soorajks1774
      @soorajks1774 16 วันที่ผ่านมา +2

      👍👍 and God's grace as the most essential factor.

    • @marcelorodrigues98723
      @marcelorodrigues98723 12 วันที่ผ่านมา +1

      And he being passionate about mathematics

  • @DEATHpetration
    @DEATHpetration 4 วันที่ผ่านมา

    Thanks for sharing sir❤

  • @AbihashfaQ
    @AbihashfaQ 2 วันที่ผ่านมา

    Love you ❤

  • @rucellegarciano4105
    @rucellegarciano4105 หลายเดือนก่อน +2

    Yeah... Very smart guy...
    My dad once said, when I was in elementary or high school, that when I would later go to university, there are different type of books.
    One group are about blurring the lesson... The other are very clear...
    Terence Tao's book is the latter...
    It is very clear... 👌

    • @recklessvelociraptor2579
      @recklessvelociraptor2579 24 วันที่ผ่านมา

      what is the name of the book, and can you give more example of the very clear books, also you study what major

  • @kuldeepparashar7266
    @kuldeepparashar7266 หลายเดือนก่อน +1

    Excellent information

  • @Laughable000
    @Laughable000 2 ชั่วโมงที่ผ่านมา

    The intellect leon muskrat wishes he had

  • @rucellegarciano4105
    @rucellegarciano4105 หลายเดือนก่อน +1

    Actually, yeah...
    Fundamentals of Physics
    by Halliday, Resnick and Walter
    Sixth Edition (Extended Version)
    Page 7
    If we would approximate the circumference as a circle, then the formula of a circumference is:
    C = 2πr, where r is the radius
    👌

  • @jeromekwasniowski8293
    @jeromekwasniowski8293 9 หลายเดือนก่อน +6

    It's a great feature that you can pause YT Vids at any time...that's very important for your learning processes!😮

  • @abhijeethvijayakumar6513
    @abhijeethvijayakumar6513 28 วันที่ผ่านมา

    Beautiful❤

  • @MarcoLLucas
    @MarcoLLucas หลายเดือนก่อน

    I think Mr. Tao is getting very good at teaching math. And that is very remarkable.👍

  • @nyx8017
    @nyx8017 27 วันที่ผ่านมา +1

    38:03 'the way I visualised this was lying down on the floor and rolling' LMAO 🤣🤣

  • @jiahuahuang2143
    @jiahuahuang2143 9 วันที่ผ่านมา

    Very interesting

  • @VIVALAVERSA
    @VIVALAVERSA ปีที่แล้ว +28

    The way they teach, especially math in schools, is a catastrophe. Yes, a real catastrophe that supports the degeneration of the human inventive spirit like nothing else before.
    From the 1st to 9th grade, mathematics in my experience was nothing but a stroke leading to a later decay of inventive thinking. In schools, arithmetic is a torture method and not an introduction to the concept of mathematical thinking.
    How artmetic procedures are taught within mathematical systems can never lead to a witty emancipation of the game.
    +-×÷ the basic building blocks of any mathematical theory are taught manually without any depth. It is not possible for children to grasp The game of mathematics, because according to the learning methods of school there is none.
    It was only when I switched to business school that mathematics seemed meaningful and free to me. Functions that represent a growth, sets that become a different language, all these discoveries were found in me only by mathematical correlations and not by acidic shifting of rules. It is shameful and sad to think of logical thinking as something boring, because it is not at all.
    When I immersed myself in the world of sets, functions, series and sequences, I realized for myself how free mathematics really is.
    Artfully, I was thrilled to see how series can form a function, which in turn can be plotted as graphs, and there are endless possibilities to see mathematically how a flower is fathomable.
    It is like a child dipping his hands in color to draw a purely creative picture of his intuition. That's a big and important part of math thinking.
    Mathematics is free, creative, interesting, inspiring and an experience. an experience that shows and brings closer the beauty of the relationship between us and the outside world.
    A teacher who does not know this and who acts in the manner prescribed by the system is nothing more than a loaded weapon for young children in the education system. He has the potential creative ability to wipe out their development like a gun that can do nothing but destroy what doesn't fit into the system.
    Mathematics, thinking about itself, is a necessary game, indeed a necessary game for a fruitful personality who is in a relationship with the outside world, which makes the depths of the world palpable only if it is allowed to be played.
    To play means to discover oneself and other things, to be creative and free, without any barriers, always from right to wrong.
    Thus the principle is rock-solid, without play no personality
    What we can see in front of our eyes is a society full of prejudices, burying ideas before they can even be heard.
    Without this reason, the human race is doomed for eternity, since it can never unfold, indeed never really know what it means to discover and to live.
    It's all a big circle that closes. It's all interconnected, and if we don't see it, we're going to have to bathe in our ashes forever.
    I hereby appeal to all teachers and education officers to make the game possible. We need this revolution. It is absolutely necessary for the creative mind, for the creative man who sees connections and draws meaning from what was previously unrecognizable.
    Someone who imposes rigeros manuale is the enemy of every poetry, every art and every mystery, no matter how small, that will remain hidden in one forever.
    The way is long and arduous, the one who leads out of Hell into the light. However, without this insight we are doomed to be good and further advances will never be able to be updated.
    I know many acquaintances within my family who, as a small child, ask questions about asking why the tree grows, what is 13+5 and what even so large unattainable number becomes unattainable because you can always count +1 to it.
    Its mathematical nature is deeply rooted in the free creative thinking of man. Mathematics is not boring, but if it is taught like this, it will be forever.
    No play, no personality.

  • @MclaneMoney
    @MclaneMoney 10 วันที่ผ่านมา

    This video makes mathematics very applicable to ordinary people than those equations that people are subjected to just to prove someone s mathematics genius.

  • @casaroli
    @casaroli 6 วันที่ผ่านมา

    I hope this helps me solve the exercises from his analysis books.

  • @Hexspa
    @Hexspa 9 วันที่ผ่านมา +1

    This is great because I don’t ever remember learning these perspectives together like this. Every few years I get the urge to brush up on my math, so I’ll have to save this. Looking back, at least part of my distaste for math was cultural, few of my peers liked it, but the other part was relevance. I knew I wanted to play music, and math seemed irrelevant. Maybe it is, but I’ve since explored audio engineering and it’s highly relevant there, depending on how concrete you want your understanding to be, and I feel that I can’t go much further without understanding those funky symbols that arrive once you pass high school algebra. Cheers.

  • @bocckoka
    @bocckoka 19 วันที่ผ่านมา +1

    Him saying 'we often have imposter syndrome' is just so surreal.

  • @kuldeepparashar7266
    @kuldeepparashar7266 หลายเดือนก่อน +1

    Super information

  • @rucellegarciano4105
    @rucellegarciano4105 หลายเดือนก่อน +6

    56:50 Circumference of the earth? I could be wrong... Resnick and Halliday...

  • @ayushsharma-id6sw
    @ayushsharma-id6sw 5 หลายเดือนก่อน +2

    Hey Bud Will You uploading more lectures of this series 😊

  • @erik-michael
    @erik-michael หลายเดือนก่อน

    A great mother! Now we know why.

  • @Nataliequinn0119
    @Nataliequinn0119 9 ชั่วโมงที่ผ่านมา

    1:07:29 i was thinking what problem is this....

  • @Admir5595
    @Admir5595 หลายเดือนก่อน +1

    Math is nice for musicians too

    • @jyl123
      @jyl123 27 วันที่ผ่านมา

      in what ways have you found the connection exciting?

    • @Admir5595
      @Admir5595 26 วันที่ผ่านมา

      @ the first musical scale was invented by pythagoras I believe when he observed how the sound frequencies behave when a blacksmith would hit anvils stacked on top of each other with a hammer.
      It’s exciting because learning the notation used in math can aid in learning the notation in music. Just like learning a foreign language may help with more easily understanding ones native language.

    • @Admir5595
      @Admir5595 26 วันที่ผ่านมา

      @ Counting the duration of notes in a measure. Subdividing the beat. Though there isn’t an exact formula for counting in music. We have general ideas , but how one chooses to play with rubate (stolen time) is completely up to the performer.

    • @Admir5595
      @Admir5595 26 วันที่ผ่านมา

      @ I also like programming, and math aids with problem solving here as well. If you understand some basic properties of natural numbers, then suddenly C becomes a lot more east to understand. You won’t bang your head against the wall when you notice that a while loop runs forever. I found it really usefull once when I was programming a maze solving algorithm. It involved many data structures, which perform very simple operations.

  • @TandoganMuhammet
    @TandoganMuhammet หลายเดือนก่อน +2

    What was the respond of the coins qouestion

  • @e.galois4940
    @e.galois4940 ปีที่แล้ว +3

    2:49

  • @loopingdope
    @loopingdope 26 วันที่ผ่านมา

    Magnus Carlsend and Tao are on the same wholeness&mastery -levels

  • @MarleneWalker-su8ku
    @MarleneWalker-su8ku 11 วันที่ผ่านมา

    With that haircut as a little boy I think the world lost a "Rock Icon" to the fabulous World of Mathematics.Have a feeling TT is multi talented but very modest 😜👍

  • @Saganism
    @Saganism หลายเดือนก่อน

    I just feel sad to realize that my parents taught me nothing of any use but filled me with untruths. 😢

  • @Dudewhoami
    @Dudewhoami 15 วันที่ผ่านมา

    Me trying to motivate myself to go study

  • @rucellegarciano4105
    @rucellegarciano4105 หลายเดือนก่อน

    55:53 True... Sad but true...

  • @SahilGhosh
    @SahilGhosh 29 วันที่ผ่านมา

    1:00:31

  • @kevinhaney2783
    @kevinhaney2783 ปีที่แล้ว +1

    video nun türkçesini kaldırmışlar yahu böyle bir şey kaldırılır mı kardeşim yuh

  • @AmineMath-or2kx
    @AmineMath-or2kx 7 หลายเดือนก่อน +1

    Wow

  • @gracefulness1
    @gracefulness1 23 วันที่ผ่านมา

    00:10:59 !!!

  • @dr.merlot1532
    @dr.merlot1532 4 วันที่ผ่านมา +2

    Wrong!!! Super wrong!! Mathematicians are indeed wizards!! They practice wizardry!

  • @trevoidc9859
    @trevoidc9859 10 หลายเดือนก่อน +6

    terence tao, I proved the birch and swinnerton dyer conjecture! Can you verify my work?

    • @richardfrangie3518
      @richardfrangie3518 10 หลายเดือนก่อน +9

      Yes, I already saw it and you have many errors, please review it and contact me again.

    • @believer1465
      @believer1465 หลายเดือนก่อน

      😂​@@richardfrangie3518

  • @life42theuniverse
    @life42theuniverse 24 วันที่ผ่านมา

    Life is a bubble of bubbles.

  • @AnweR-AmmaR
    @AnweR-AmmaR 28 วันที่ผ่านมา

  • @bishy2007
    @bishy2007 หลายเดือนก่อน

    20:40

  • @FatehAkhrib-n8z
    @FatehAkhrib-n8z หลายเดือนก่อน +1

    How did i know that youtube is spying on me , I was watching this in another device and it pomp up on this one, i use different emails

    • @krispychip4723
      @krispychip4723 12 วันที่ผ่านมา

      Maybe you watch the same kinds of videos on each email. Or maybe since this was viral at the time, it was recommended on both. You have to think of more reasonable explanations before moving to spying. And even if they were spying on you, what reason do they have, and why would they recommend the swme video twice?

    • @gregorio87
      @gregorio87 11 วันที่ผ่านมา

      I'm gonna guess it's because the accounts share the same IP address when logging in... unless you're using a VPN, if that's the case then I'd start checking under my bed every night... TH-cam might be under there

    • @krispychip4723
      @krispychip4723 11 วันที่ผ่านมา +1

      @@gregorio87 lmao🤣

  • @garrulus3399
    @garrulus3399 หลายเดือนก่อน +1

    i gave grown up to despise and fear mathmatics, watching this to not pass this on to my kids...

  • @timwong580
    @timwong580 หลายเดือนก่อน

    The univ is infinitely large. Wats infinitely small?

    • @ZTheMoki
      @ZTheMoki 24 วันที่ผ่านมา

      and individual point compared to the universe

  • @sonarbangla8711
    @sonarbangla8711 หลายเดือนก่อน

    I have followed some of Tao's videoes, but he didn't appear special. Maybe he was out of my radar.

  • @EstherChira0000
    @EstherChira0000 หลายเดือนก่อน

    🫀🌌🧫

  • @prodcio
    @prodcio หลายเดือนก่อน +1

  • @insertyourfeelingshere8106
    @insertyourfeelingshere8106 หลายเดือนก่อน

    Am I crazy or is this a 15 minute loop

  • @francescoghiretti1239
    @francescoghiretti1239 หลายเดือนก่อน

    Coool...,p

  • @archangecamilien1879
    @archangecamilien1879 28 วันที่ผ่านมา

    44:52 Haha!!...

  • @danwroy
    @danwroy 16 วันที่ผ่านมา

    So this is one big pep talk?

  • @micpin6810
    @micpin6810 หลายเดือนก่อน +1

    The _greatest_ living mathematician is a tie between Grigori Perelman and Andrew Wiles because they actually solved 2 of the biggest problems in mathematics which Tao did not. Although Tao is very good mathematician he is not definitely in any stretch the greatest living one.

    • @omerelhagahmed551
      @omerelhagahmed551 10 วันที่ผ่านมา

      Definitely incorrect
      It's very complicated to measure the contributions nottomention such complex title like "The greatest mathematician"
      It's further than one could imagine

  • @BahbahKaduche
    @BahbahKaduche 13 วันที่ผ่านมา

    maybe demonstrate a system for learning and talk far less about your silver baby spoon*

  • @sumdumbmick
    @sumdumbmick 3 วันที่ผ่านมา

    what are those fake red stairs in the background?
    this is pathetic.

  • @daelinproudmore5068
    @daelinproudmore5068 9 วันที่ผ่านมา

    I don't find rationality comforting. I find irrational things comforting. I also suck at math. Guess we're all different!

  • @dungtruong4105
    @dungtruong4105 หลายเดือนก่อน +1

    Teherence Tao English pronunciation is really bad.

    • @overseer5060
      @overseer5060 28 วันที่ผ่านมา +3

      pronunciation*

    • @jvmgang
      @jvmgang 22 วันที่ผ่านมา

      He's a native speaker, just has an Australian accent.

    • @dungtruong4105
      @dungtruong4105 20 วันที่ผ่านมา

      @jvmgang I can't stand that accent. I made me feel bad.

  • @lugia8888
    @lugia8888 16 วันที่ผ่านมา +1

    this guy is a fraud

    • @TerraTales-n1h
      @TerraTales-n1h 12 วันที่ผ่านมา

      Why ?

    • @solivagant1170
      @solivagant1170 11 วันที่ผ่านมา

      @@TerraTales-n1hHe doesn’t know he’s cracked out of his mind

    • @JayDee-b5u
      @JayDee-b5u 6 วันที่ผ่านมา

      I wouldn't call him a fraud but like most mainstream mathematicians he's entangled in technique and most these proofs are trivial. It would be great to ask him...What is a number? Do all magnitudes have a number? What do you think of applying the secant method to finding the derivative of a function? Do you find the current definition of a derivative circular?

  • @Ljosi
    @Ljosi 21 วันที่ผ่านมา +1

    All this is nice but your DNA dictates your innate intelligence, if it's not high enough you can forget understanding advanced math and coding no matter the effort

    • @Ma-official_
      @Ma-official_ 14 วันที่ผ่านมา

      It’s more like motivation, if you are motivated you can learn anything.

    • @Ljosi
      @Ljosi 14 วันที่ผ่านมา

      @Ma-official_ No. You can spend decades trying to understand something that another person understands the moment they read it, it's a brain structure issue. Specifically it's the difference in myelin sheath thickness, neuron density, synapse response efficiency, dendrite spread, axonal connection efficiency, etc. Your DNA dictates all of that

    • @Ma-official_
      @Ma-official_ 13 วันที่ผ่านมา

      @@Ljosi nah

    • @solivagant1170
      @solivagant1170 11 วันที่ผ่านมา

      That’s not entirely true, epigenetics are influenced by environmental factors too.

    • @Ljosi
      @Ljosi 11 วันที่ผ่านมา

      @@solivagant1170 yes, and those environmental factors matter most during childhood. Problem is you can't choose your childhood parenting either, so if your parents are trash there goes your neural plasticity window to form vital axonal connections of understanding complex concepts in math, physics, programming etc. Starting out say after the age of 20 is way to late. So it's all luck based again of whether you'll get good parents in terms of genetics and parenting, usually those go hand in hand. Parents with goid genes are smart so they raise their offspring properly, while parents with bad genes (ie. dumb) give their child bad genes along with bad parenting

  • @rucellegarciano4105
    @rucellegarciano4105 หลายเดือนก่อน +1

    Yeah... Very smart guy...
    My dad once said, when I was in elementary or high school, that when I would later go to university, there are different type of books.
    One group are about blurring the lesson... The other are very clear...
    Terence Tao's book is the latter...
    It is very clear... 👌