Numberphile2

Numberphile2

This is Numberphile's "second channel" for extra footage or stuff that didn't quite fit on the main channel

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  • @user-cu9ww9tj4i
    @user-cu9ww9tj4i7 сағат бұрын

    저는 지구에 살았던 모든 생명체들의 우주의 자유의지를 부여받았고 그걸 정당히 얻어냈다고 생각합니다.

  • @james-fy1ms
    @james-fy1ms8 сағат бұрын

    The Parker prize is when you win the lottery but forget where you put the ticket.

  • @daboffey
    @daboffey9 сағат бұрын

    When I was at uni, this formula was proven by two lots of mathematical induction (the second of which I can't remember), however, by using the principle of inclusion/exclusion, which is essentially what James did here, the formula just drops out.

  • @arcana873
    @arcana8739 сағат бұрын

    tysm now i get it lol

  • @o_2731
    @o_273111 сағат бұрын

    "My code is pretty efficient" *Uses python*

  • @darrylbatchem8985
    @darrylbatchem8985Күн бұрын

    This logic seems correct but it is not. The key is what Monty is allowed to do and each choice he makes carries the same weight. Monty can open 4 doors. He can 1. open Door 2 leaving Door 3 with a Goat 2. open Door 3 leaving Door 2 with a Goat 3. Forced into opening Door 2 leaving Door 3 with a Car 4. Forced into Opening Door 3 leaving Door 2 with a Car Doing some basic maths that leaves either of the remaining Doors with a 50% change of being a Goat or a 50% chance of being a Car. The key thing here is that whatever Monty chooses it also increases the chances of what is behind your original choice. Your original choice has increased to 40% of having a car because of Montys action and the remaining exposed door has a 60% chance of having the car because of Montys action.

  • @klaus7443
    @klaus744314 сағат бұрын

    "Doing some basic maths that leaves either of the remaining Doors with a 50% change of being a Goat or a 50% chance of being a Car." "Your original choice has increased to 40% of having a car because of Montys action and the remaining exposed door has a 60% chance of having the car because of Montys action."

  • @darrylbatchem8985
    @darrylbatchem89855 сағат бұрын

    @@klaus7443 Read what I said. The remaining Doors are Doors 2 and 3 and either one remains we dont know which one. The remaining Doors are NOT the one you chose. That Door has already been locked in at 33%.

  • @klaus7443
    @klaus74434 сағат бұрын

    @@darrylbatchem8985 Watch the video a few more times. It is not that difficult to understand.

  • @eliearama
    @eliearamaКүн бұрын

    Thank you Numberphile for such great content!

  • @Spectrolite1
    @Spectrolite1Күн бұрын

    The fact that 5 is the only one, mindblowing.

  • @TymexComputing
    @TymexComputing2 күн бұрын

    Another problem calculatively intensive.

  • @AugustoFerrante
    @AugustoFerrante2 күн бұрын

    Consider an open problem e.g. "There are no odd perfect numbers". If I understood correctly, this statement can be translated to a map which admits a legal 3 colouring if and only if the statement is true. Since the map is finite, I can test in finite time whether or not the map admits a legal 3 colouring. This means that if the statement is true, there is a proof of it and if it is false, there is a proof that it is false; in other words it cannot be undecidable. This is puzzling: how can this be correct? I think that I am making a logical error but I cannot see it: can somebody help me here?

  • @JimmyVermeer
    @JimmyVermeer2 күн бұрын

    "Can you prove that every true statement corresponds to a 3-colourable map?" - "Yes, I have a 3-colourable map that corresponds to that statement."

  • @JimmyVermeer
    @JimmyVermeer2 күн бұрын

    Former Canadian Prime Minister Jean Chrétien has perfectly explained how a proof works.

  • @W-HealthPianoExercises
    @W-HealthPianoExercises2 күн бұрын

    Missing questions about the Bahamas trusts😊

  • @PuzzleQodec
    @PuzzleQodec2 күн бұрын

    It wouldn't surprise me if somehow there was a way of plotting it that showed some close relationship with the Mandelbrot set haha.

  • @jojizzz97
    @jojizzz972 күн бұрын

    @25:12 Gut wrenching

  • @oraz.
    @oraz.2 күн бұрын

    Amazing video

  • @santichapresto306
    @santichapresto3062 күн бұрын

    The man with the best trading track record in the world, proven from beginning to end. RIP 👏

  • @felixfourcolor
    @felixfourcolor3 күн бұрын

    If the conversion of any statement to a map is so simple, why not just show it?

  • @lepidoptera9337
    @lepidoptera9337Күн бұрын

    It's simple but not efficient. He said that the map might be humongous (as in have a larger number of countries than the number of atoms in the observable universe).

  • @nqnqnq
    @nqnqnq3 күн бұрын

    "what's the point? why explore this stuff?" "it's there, to explore... i wanna know"

  • @financeexplainedgraphics
    @financeexplainedgraphics3 күн бұрын

    I come back to this interview from time to time. Now that he's gone, somehow, in some strange way, the world seems a little less magical.

  • @vincentparker6103
    @vincentparker61033 күн бұрын

    Computational Irreducibility in action?

  • @mquant001
    @mquant0013 күн бұрын

    RIP Master

  • @dougdavis8367
    @dougdavis83674 күн бұрын

    What is the board full of random numbers?..

  • @SoulfoUniverse
    @SoulfoUniverse4 күн бұрын

    Om shanti legend JIM SIMONS ! You will never be forgotten, you will always be remembered as the man who solved the market !

  • @richardbailie5560
    @richardbailie55604 күн бұрын

    What about TREE(4)!!!

  • @jack.1.
    @jack.1.5 күн бұрын

    Rest in peace, a true inspiration.

  • @f142007
    @f1420075 күн бұрын

    R.I.P. man.

  • @abhijitbhuyan3020
    @abhijitbhuyan30205 күн бұрын

    Rest in peace sir

  • @Josh-eu1vr
    @Josh-eu1vr5 күн бұрын

    wow the best fastest explanation thank you

  • @KipIngram
    @KipIngram5 күн бұрын

    You're probably not going to find many American fifth graders who have those skills.

  • @qofi_1
    @qofi_16 күн бұрын

    RIP Jim

  • @Greasyhair
    @Greasyhair6 күн бұрын

    R.I.P Sir. If ramanujan was the man who knew infinity then James Simons was the man who knew the markets like none other.

  • @atillayurtseven4125
    @atillayurtseven41256 күн бұрын

    R.I.P The Quant King

  • @kabochaVA
    @kabochaVA6 күн бұрын

    R.I.P. Jim Simons.

  • @pawanbishwakarma9059
    @pawanbishwakarma90596 күн бұрын

    Rest in Peace Jim Simons!

  • @reaper-gj9gd
    @reaper-gj9gd6 күн бұрын

    RIP jim you’re an inspiration to many

  • @sinamirmahmoud7606
    @sinamirmahmoud76066 күн бұрын

    surgeon by the trait ... doctor by heart ❤ may he be happy forever ...

  • @candanzuhal7962
    @candanzuhal79626 күн бұрын

    R.I.P

  • @neutron417
    @neutron4176 күн бұрын

    RIP, the richest mathematician of all time and an absolute madlad.

  • @Surfer-vi1pm
    @Surfer-vi1pm6 күн бұрын

    RIP prof.

  • @Sam-nb1rm
    @Sam-nb1rm6 күн бұрын

    Rip

  • @markusd.7409
    @markusd.74096 күн бұрын

    R.I.P. Professor Simons

  • @Akshat2780
    @Akshat27806 күн бұрын

    RIP

  • @lubeckable
    @lubeckable6 күн бұрын

    RIP Goat Thanks for the inspiration

  • @Tralala-ri4yt
    @Tralala-ri4yt7 күн бұрын

    RIP man

  • @man0utoftime
    @man0utoftime7 күн бұрын

    RIP Jim

  • @MagnusAnand
    @MagnusAnand7 күн бұрын

    RIP

  • @user-cx7te6pl2h
    @user-cx7te6pl2h7 күн бұрын

    Rest in peace Mr. Simons

  • @kingsimoniv240
    @kingsimoniv2407 күн бұрын

    R.I.P James Simons 🎉🎉🎉 Gone but Never Forgotten. Thanks for the inspiration 🙏🏿

  • @Whatisyourname748
    @Whatisyourname7487 күн бұрын

    Rip