Ben Syversen
Ben Syversen
  • Видео 3
  • Просмотров 1 391 712
Did Archimedes Write a Problem That Took 2,200 Years to Solve?
A poem from the 3rd century BC, attributed to Archimedes, about counting the number of cattle in a Sicilian herd wasn’t fully solved until the 20th century.
**Errata** At 03:13, there is a typo in the second equation from the top (the black cows). It should say 9,717/10 + 143/2800*{sigma}, not 9,717/10 + 143/1,260*{sigma}. The subsequent steps are correct. **
Time Stamps:
00:00 - Intro
00:51 - Part I: The Bulls
02:36 - Part II: The Cows
04:31 - Part III: The White and the Black Bulls
05:38 - Part IV: The Yellow and the Dappled Bulls
07:33 - History of Pell Equations
09:12 - Path to a Solution
10:36 - Archimedes
________
Some useful resources about the Cattle Problem of Archimedes:
Archimedes related w...
Просмотров: 459 501

Видео

How Simple Math Led Einstein to Relativity
Просмотров 203 тыс.4 месяца назад
Einstein turned the world on its head in November of 1919, when data collected during a solar eclipse matched the predictions of his Theory of General Relativity. But Einstein’s path to discovering his theory traces back much further, to when he was 12 years old and he first learned about an ancient mathematical method… Special thank you to Professor @AlexKontorovichMath of Rutgers University a...
How Archimedes Almost Broke Math with Circles
Просмотров 731 тыс.9 месяцев назад
Archimedes proved the area formula for a circle by dividing the shape into infinitesimally small pieces. The concept was behind some of his greatest mathematical achievements, but rested on a paradox that wasn't addressed rigorously for thousands of years. Even Isaac Newton left some key questions unresolved when he wrestled with this paradox 1800 years later. I skipped the detailed proof in th...

Комментарии

  • @Sociology_Tube
    @Sociology_Tube 11 часов назад

    no he badly repeated something vedic but poorly like all of the western knoledge before christianity and islam destroyed civilization replacing it with a hell and a marketplace hell.

  • @4w0ken
    @4w0ken 12 часов назад

    badrock formula? wtf is badrock

    • @bensyversen
      @bensyversen 12 часов назад

      ? What part of the video are you referring to?

  • @gamerx3071
    @gamerx3071 День назад

    the only problem is how Helios puts all those cows on Sicily and how he feeds them

  • @TrueStories-dc8ku
    @TrueStories-dc8ku День назад

    0:01 you lost me there.

  • @aboss4801
    @aboss4801 День назад

    Need more such videos

  • @crazedblade2585
    @crazedblade2585 День назад

    But how many unwell fed bulls ?! See yah in 2000 years

  • @yebzy
    @yebzy День назад

    Wild to think McDonald’s goes through that much cattle each day?

  • @aboss4801
    @aboss4801 День назад

    17:45 this cracked me up

  • @TheValkyrieDev
    @TheValkyrieDev 2 дня назад

    Well looking at the current time, 0… 0 cows since they all died with-in 2200 years, probably,

  • @crazydave9665
    @crazydave9665 2 дня назад

    bro this world we live in, oh how i lust for the library of alexandria, how thy people there sang of the gods in the stars and of the green fields and distant seas beyond which other worlds

  • @henlofrens
    @henlofrens 2 дня назад

    I like how the ant is a she for inclusivity's sake in the example between minute 20 and 21, but the only female ants are the queens and not workers out foraging for food 😅

    • @bensyversen
      @bensyversen 2 дня назад

      Actually all worker ants are female. Kontorovich mentioned that in our conversation but I edited it out for brevity

  • @quakdem
    @quakdem 2 дня назад

    ancient equivalent of a zip bomb

  • @wsgletschill
    @wsgletschill 3 дня назад

    say no to veganism lol

  • @lilbaz8073
    @lilbaz8073 4 дня назад

    The answer is wrong. No way that many cows could fit on Sicily.

  • @wati52
    @wati52 5 дней назад

    That was a great video, I'll check out your other ones. Thanks.

  • @etasjo
    @etasjo 5 дней назад

    please dont use ai for historic representations

    • @bensyversen
      @bensyversen 5 дней назад

      Thank you for watching and for the feedback. I’ve heard this comment from people and in my next video I’m working with a friend on illustrations that I am animating for key scenes. I think it will be a big improvement!

  • @GigaSimp
    @GigaSimp 6 дней назад

    The guy who killed archimedes should listed as legendary war criminal who is worse than Hitler.

  • @MrNeada
    @MrNeada 6 дней назад

    I would really have enjoyed your video if it weren't for the volume of the music, i had to leave halfway I couldn't put up with it any longer. If you do an update without the crappy music I'll subscribe. Cheers

    • @bensyversen
      @bensyversen 6 дней назад

      Thanks for the feedback and thanks for checking out my video. I’ve heard this comment about the volume from other folks too and while I can’t change this video once it’s been published (I would have to take it down entirely first), I am working on improving my sound design skills for future videos!

  • @abderrahim552
    @abderrahim552 6 дней назад

    I'm not only confused but also tired of useless math and I don't see the poem as a good one

    • @bensyversen
      @bensyversen 6 дней назад

      Sorry you didn’t like it. Hopefully you’ll enjoy the next video I’m making 🥸 Thanks for watching anyway

  • @gauranshbansal
    @gauranshbansal 6 дней назад

    17:50 what's going on with the text on the board there?

    • @bensyversen
      @bensyversen 6 дней назад

      I’m not sure, but it looks like the text is melting….

  • @trident1409
    @trident1409 9 дней назад

    I think we should teach history of such amazing people instead of wars.

  • @shreya1159
    @shreya1159 10 дней назад

    9:01 bro forget that Bhaskar give us quadratic equations formula (shri dhar acharya)

    • @bensyversen
      @bensyversen 9 дней назад

      Yeah that’s potentially another video. I’d like to make some videos about the history of math in India but I have a lot to learn first!

  • @AnenLaylle
    @AnenLaylle 10 дней назад

    How plagiarizing Poincare led to Einstein's theory of Relativity, you mean.

  • @titaniadioxide6133
    @titaniadioxide6133 10 дней назад

    This was lovely to watch; I am shocked to find out that Einstein wasn’t a mathematician. It’s so much more accurate to call him a logician with a focus in theoretical physics.

    • @bensyversen
      @bensyversen 10 дней назад

      I’m glad you enjoyed it!

    • @bensyversen
      @bensyversen 10 дней назад

      To be clear, he was an excellent mathematician by the standards of most of us “regular people”, but for general relativity he definitely needed to call in help. There were other mathematicians he consulted too besides Grossmann but I left them out for simplicity’s sake.

    • @titaniadioxide6133
      @titaniadioxide6133 10 дней назад

      @@bensyversen oh absolutely, I love math and I couldn’t imagine wrangling Riemann’s stuff. But for some reason I always thought of Einstein as this math-focused genius, where his Theory of Relativity came from investigating math and seeing how it bumped up into physics and the cosmos. It’s super interesting to see that it was the other way around. Obviously the math is very advanced and complex and necessary, but the math theory was developed separately, and the implementation of the math came from the physics. And all of that was building not just on knowledge of physics, but overwhelmingly on a foundation of logististical prowess. Obviously Einstein was brilliant, and his knowledge of Physics and Math was incredible. But this is the first I’ve heard of him as a logician and I absolutely love knowing that about him.

    • @bensyversen
      @bensyversen 10 дней назад

      @@titaniadioxide6133 I love it too!

  • @williamzame3708
    @williamzame3708 12 дней назад

    Something went awry ... a perfect square cannot end in 8 ...

    • @bensyversen
      @bensyversen 11 дней назад

      It’s because the number of black bulls and white bulls together is a perfect square, not the number of the entire herd.

  • @Jerry-zn1qz
    @Jerry-zn1qz 12 дней назад

    thanks man, for crediting Indian mathematicians, except for a few they don't get much credit.

    • @bensyversen
      @bensyversen 12 дней назад

      At some point I’d like to do a video about Indian mathematicians but I have a lot to learn first!

    • @Jerry-zn1qz
      @Jerry-zn1qz 12 дней назад

      @@bensyversen ill wait

  • @jmmahony
    @jmmahony 13 дней назад

    Speaking of math coming before physics, David Hilbert is the same Hilbert who created "Hilbert spaces", essentially the general abstraction of dimensional space, with possibly infinite dimensions, that lies at the heart of the math of Quantum physics.

  • @realjohntapang3480
    @realjohntapang3480 15 дней назад

    Einstein never thought that math is beneficial for his theory. Awesome!

    • @bensyversen
      @bensyversen 14 дней назад

      Well, he did eventually think that but it took him some time to come around…

  • @Abhishek-ti5er
    @Abhishek-ti5er 15 дней назад

    wonderful❤.

  • @hanihanou6269
    @hanihanou6269 16 дней назад

    I love you 💕😚

  • @carlosdario9810
    @carlosdario9810 20 дней назад

    I wouldn’t call tensor calculus “simple math”. Anything else that tries to explain GR without tensor calculus is an offensive oversimplification, and sadly RUclips is full of this kind of quacks.

    • @bensyversen
      @bensyversen 20 дней назад

      You’re right that it’s not. The “simple math” referred to is the axiomatic method which provided the framework for Einstein’s thought experiments for SR. In the video I feature a math prof who gives a general-audience-friendly summary of Riemannian Geometry and describe some (but not all) of the mathematicians who helped Einstein with the math for GR. So definitely not attempting to explain tensor calculus, but if you watch the video, I hope you will see that I am taking care to avoid the “offensive oversimplification” while still making it approachable to a non-expert.

  • @nasir_og
    @nasir_og 21 день назад

    Bet 78.86% of ppl stopped watching it before 8 minutes

    • @bensyversen
      @bensyversen 21 день назад

      The answer is 40% were still watching at the 8 minute mark, for what it’s worth.

    • @bensyversen
      @bensyversen 21 день назад

      I thought people would be turned off by the Pell Equation stuff but I was pleasantly surprised otherwise

  • @Sludgehammer138
    @Sludgehammer138 21 день назад

    I wish there was a channel highlighting the great math and science races of history like Hillbert and Einstein... great video

    • @bensyversen
      @bensyversen 21 день назад

      That is a fun idea! Some day I hope to do a video about the Newton/Leibniz dispute over the creation of calculus.

  • @teddyspaw
    @teddyspaw 23 дня назад

    This is the most informative piece I have ever seen about AE. I was amazed to learn of his initial disdain of higher level math and of his intuitive use of the axiomatic method. Congratulations to Ben and the team for creating this gem!

  • @marksimpson2321
    @marksimpson2321 23 дня назад

    Very good production. Melvyn Bragg in his BBC Radio 4 'In Our Time' repeatedly marvels at how abstract maths or things done just because someone thought about doing it often turn out to be part of or essential too later developments in science and / or technology.

    • @bensyversen
      @bensyversen 23 дня назад

      Yes indeed. Thank you for watching!

  • @binbots
    @binbots 23 дня назад

    Now the next step is figuring out how general relativity and quantum mechanics fits together and once again time is the key. General relativity and quantum mechanics will never be combined until we realize that each individual observer is observing them both at different moments in time. Because causality has a speed limit (c) every point in space where one observes it from will be the closest to the present moment. When one looks out into the universe they see the past which is made of particles (GR). When one tries to measure the position of a particle they are observing smaller distances and getting closer to the present moment (QM). The wave property of particles appears when we start trying to predict the future of that particle. A particle that has not had an interaction exists in a future state. It is a probability wave because the future is probabilistic. Wave function collapse is what we perceive as the present moment and is what divides the past from the future. GR is making measurements in the observed past and therefore, predictable. It can predict the future but only from information collected from the past. QM is attempting to make measurements of the unobserved future and therefore, unpredictable. Only once a particle interacts with the present moment does it become predictable. This is an observational interpretation of the mathematics we currently use based on the limited perspective we have with the experiments we choose to observe the universe with.

  • @suyash1631
    @suyash1631 23 дня назад

    What if you put all those cows on the same spot i mean exact one spot combining there masses

  • @Thewerwolf
    @Thewerwolf 24 дня назад

    Not allay other time the math is baked on the fly by the physicist like in the case of Dirac

  • @offecncivesec
    @offecncivesec 24 дня назад

    le maths now : Find the value of X

  • @StorytellingSpot
    @StorytellingSpot 24 дня назад

    Archimedes Write a Problem That Took 2,200 Years to Solve... ... and we are in year 2024 GIGACHAD IMPRESIVE

  • @rickestofthericks6067
    @rickestofthericks6067 24 дня назад

    He would have received a letter back saying wrong number....

  • @Chris-op7yt
    @Chris-op7yt 25 дней назад

    yes, the reason 17 or any number of dimensions works is because it also works in one dimension. any number of dimensions boils down to a vactor of distance in one dimension

  • @BenHakak-dl5fg
    @BenHakak-dl5fg 26 дней назад

    How about solving the problem of putting food on the table then figuring out this useless bullshit!!!

    • @bensyversen
      @bensyversen 25 дней назад

      Well I definitely would not consult Archimedes for financial advice

  • @Mr_Hassell
    @Mr_Hassell 26 дней назад

    Damn this is well explained

  • @egbun
    @egbun 26 дней назад

    I need a five minute version that a five year old could understand.

    • @bensyversen
      @bensyversen 26 дней назад

      That would be a challenge!

    • @egbun
      @egbun 26 дней назад

      @@bensyversen I found this one the easiest to understand so far, by Don Lincoln. ruclips.net/video/A2JCoIGyGxc/видео.htmlsi=mz7bSRvQHUYeFB1W

  • @pillettadoinswartsh4974
    @pillettadoinswartsh4974 26 дней назад

    Good science is never "overthrown." It is merely refined. Newtonian physics is not wrong. It is just not 100% precise.

  • @LISTENim
    @LISTENim 27 дней назад

    Amazing video, thanks so much. Really interesting and nicely put together. I subbed.

  • @rogersecura378
    @rogersecura378 27 дней назад

    Suggestion - not criticism: PLEASE remove or at least tone down the music in the background from all your future videos - it does nothing but distract the viewer from what would be a good presentation. Sorry, but this is a pet peeve of mine. Unfortunately, some RUclips content providers are under the impression that background music somehow makes an instructional video more dramatic and/or professional. This is not true! It's bad enough that we have to crank up the volume on some videos because of a bad audio recording or a regional accent, only to have the music overpowering the vocals. RUclips documentaries should not be created/treated or edited like a music video - Sorry for the rant.

    • @bensyversen
      @bensyversen 27 дней назад

      Hi thanks for watching. I’ve heard this feedback from some folks and I’m working to improve my sound design in future videos.

  • @Darisiabgal7573
    @Darisiabgal7573 27 дней назад

    “…..Lost to history” Or Archimedes was full of bull.