Comments by "L.W. Paradis" (@l.w.paradis2108) on "Veritasium" channel.

  1. @Mass Debater Prove, not solve.
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  2. @Mass Debater Prove that every possible string generated by the function ends in a 4 2 1 loop. There are infinitely many, one per positive integer. Watch it until you get to that part.
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  3. 😂😂😂
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  4. You forgot viciousness.
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  5. ​@davidabulafia7145 The more skill and hard work, the more unwanted attention by those who seek to pull you down. Whether they can is mostly a matter of luck. Too bad no one in America reads The Apology of Socrates. It's all there, 2400+ years ago.
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  6. Amazing video.
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  7. This relates to Brownian motion and chaos theory, both of which have applications.
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  8.  @jonathanwhite3507  The video gives you a start.
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  9. 0 isn't a positive integer yo.
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  10. Don't feel bad. Now there is a major called Financial Engineering. No. Not a joke.
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  11. That's the man to ask.
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  12. So someone's Bible doesn't contain Ecclesiastes 9: 11? Was it censored?
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  13. How do you know Brownian motion is not useful?
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  14.  @jameshale5331  Try this search term: "application of Brownian motion in daily life." Or try "importance of Brownian motion." Or don't. You may be too smart to read these articles; you may have far better things to do. Like, maybe you're an artist.
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  15. Cool! They know you. ;)
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  16. No.
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  17. Hard work in the wrong context can harm you, too. You've never been in a office where hard work is so resented that people actually try to trip you up? Or where an incompetent supervisor imagines you are after her job? (A classic pattern in employment discrimination cases.) It is very important to be in a context where your work matters, to "find the right pond." That is always partly luck.
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  18. Chaos theory is essential in studying global warming.
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  19.  @Didnt_ask69  Jawohl
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  20.  @MrJest2  I don't think this is right. Mathematics isn't a "language," it is not imprecise, and its symbolic conventions are distinct from what it is about, namely, the things that are symbolized (mathematical objects and their relations).
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  21.  @MrJest2  The problem is precisely stated, and consists in proving or refuting the given conjecture. Once proved, we know the conjecture holds for the infinite set of positive integers. "Infinity" isn't an abstraction any more than other parts of mathematics are. There is a rigorous theory of infinite sets and transfinite numbers, and every theorem addresses the properties of some infinite set of objects. Even the Pythagorean Theorem is about infinitely many right triangles.
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  22.  @RadarFinsR  Applied mathematics does not require the same architecture of deductive demonstration. What is practically useful in an engineering context has no bearing on the discussion in this video. Applications are secondary. It's not what mathematicians are after.
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  23.  @RadarFinsR  Mathematicians use axioms and rules of inference that are not approximative. They must be precisely defined.
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  24.  @RadarFinsR  I thought people knew what proof was. This is all, like, wow.
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  25.  @TheNeomare  Brilliant observation -- but there are ways to do it, similar to how convergent infinite series are proved. I wonder what it would look like?
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  26.  @TheNeomare  I came back just to see this again. Great insight, make it a separate post. This was gratifying. To see how many people didn't even have the patience to watch the video and think about it was upsetting. A lot of people must be browbeaten in school and turned off of math. Here, when it's in a great video and nothing is at stake, they still can't focus. It must be due to some bad experience of some sort.
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  27. Prove the conjecture or refute it.
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  28. ​@m4l490n It was luck in reference to him, the son. The son was a child, he couldn't control whether the parents he was born to valued books.
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  29. ​@ggh_-ts6pn When in fact viciousness plays a role.
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  30. These are often seen as lucky numbers.
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  31. Well, he has money. And he dropped out of college, so take that! Ha!
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  32. 12:34 AWESOME
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  33. That's why a proof is necessary. That is exactly why.
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  34. Epigenetics: What Lyshenko noticed and completely misunderstood.
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  35. 10:32 could we do better? Maybe, but I wonder.
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  36. Nope.
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  37.  @thalinpans9302  You can translate the conjecture into binary code, no problem.
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  38. Odd positive integers have 1 as their final digit, evens have 0. You can do the rest.
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  39.  @thalinpans9302  Start with 7. In binary code, 111 (seven). Multiply by 11 (three) and add 1 (one). You get 10110 (twenty-two). Divide by 10 (two). You get 1011 (eleven), etc. Same thing.
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  40. Every kid has wondered this.
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  41.  @_nines8270  LOL
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  42.  @_nines8270  root of 9.869 is not half bad . . . yeesh
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  43. 9:19 YOU think Gates will tell you "the real story?" Look, when the pandemic started, we came to the realization that most of our medicine is manufactured in China and India. But when to came to vaccine PATENTS, Gates argued strongly against lifting them, during a pandemic. Then India had a huge outbreak of the new variant. This fawning interview is a disgrace.
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  44. But the simulation he did showed that all of the qualified applicants who were rejected -- a very large number -- were simply unlucky.
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  45. ​@dariusus9870 And I think anyone who (1) obsesses this much about "happiness," and (2) believes "happiness" is within a person's control, is not only not happy, or any other thing I'd aspire to be, but should be given wide berth. Keep your distance from these people. Chances are good they will stab you in the back at the first opportunity, for no other reason than to achieve the most banal and limited definition of "success" you could imagine. (For those who think this is a cynical view, I invite you to read Rick Rubin's book, The Creative Act, and in particular the chapter entitled "Non-Competition.")
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  46. ​ @mikhail.mp4 Eat super-well, exercise, make art, take walks in nature, and sleep tight. Don't worry.
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  47. Even THIS discussion is being sense__ord. I'm not happy about that. 😅
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  48. ​ @dariusus9870  And I think anyone who (1) obsesses this much about "happiness," and (2) believes "happiness" is within a person's control, is not only not happy (or any other thing I'd aspire to be), but should be given wide berth. Keep your distance from these people. Chances are too good that they will stab you in the back at the first opportunity, in service of achieving the most banal definition of "success" you could imagine. (A version of this went poof. I wonder if it is visible resorted.)
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  49. @Александр Кузнецов I'm sorry you don't know how to do computer simulations. Maybe if you work harder at it, or if someone suggested the right book to you, you could replicate the data for yourself and feel pride instead of phony tough-guy scorn.
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  50.  @bwake  Well, the people I replied to have since left the discussion, so I don't know what this was about.
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