The Most Amazing Mathematical Discoveries Made by Amateurs

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  • เผยแพร่เมื่อ 8 พ.ย. 2024

ความคิดเห็น • 346

  • @AvoidTheCadaver
    @AvoidTheCadaver หลายเดือนก่อน +95

    It's the superpermutation of pronunciations of Ramanujen

    • @BuhurtUK
      @BuhurtUK หลายเดือนก่อน +2

      I'm missing what Simon is saying because I'm laughing too much 🤣

    • @mikesum32
      @mikesum32 หลายเดือนก่อน +2

      and Egan

    • @mikesum32
      @mikesum32 หลายเดือนก่อน +4

      and tiling

    • @sethstuff921
      @sethstuff921 หลายเดือนก่อน +8

      And the brief mention of “youller” instead of “oiler” when talking about Euler

    • @thorstambaugh1520
      @thorstambaugh1520 หลายเดือนก่อน +1

      He also had that great song "Black Betty"

  • @shantanusapru
    @shantanusapru หลายเดือนก่อน +48

    This video probably will get the Guinness Book of World Records entry for the largest number of (incorrect) permutations of pronunciation of 'Ramanujan'🤣🤣🤣🤣🤣🤣

    • @andrewhone3346
      @andrewhone3346 หลายเดือนก่อน +1

      Also got G.H. Hardy's middle initial wrong.
      By his own admission, the guy is reading a script which he didn't write himself.

    • @shantanusapru
      @shantanusapru หลายเดือนก่อน

      @@andrewhone3346 👍

  • @polyaddict
    @polyaddict หลายเดือนก่อน +89

    Ramanujan : ❌️
    Ram a jam : ✅️

    • @NN-Nathan
      @NN-Nathan หลายเดือนก่อน

      i was given the option to translate your comment to English
      Ramanujan :
      Ram a clock :
      was the result 🤣
      this amused me greatly

  • @catherine_404
    @catherine_404 หลายเดือนก่อน +49

    Poor Ramanajan. Well, obviously, not only him, but his story is so obviously mishandled but the state, colleges, scientific and general society. Imagine if he got the attention, the education (counselling?) he deserved, and lived to his eighties or longer. I wish!

    • @olanmills64
      @olanmills64 หลายเดือนก่อน +4

      He does seem to get a lot of attention though? I mean for advanced math or math history I feel like he gets a lot of attention. I don't think learning about him in grade school is really that useful.

    • @Leyrann
      @Leyrann หลายเดือนก่อน +5

      He's probably in the top five most famous mathematicians these days.

    • @patrik5123
      @patrik5123 หลายเดือนก่อน +5

      Ever read the history of Faraday? Now that's a fucking heart breaker. Faraday accomplished a lot though so not a fair comparison I suppose.

    • @grimreaper7854
      @grimreaper7854 หลายเดือนก่อน

      ​@@patrik5123Or Mozart.

  • @breakbeatkid
    @breakbeatkid หลายเดือนก่อน +66

    WOAH BLACK BETTY RAMAJAM

    • @nayman2801
      @nayman2801 หลายเดือนก่อน +6

      He used like 7 pronunciations, none of which are correct lol

    • @johnkidby7948
      @johnkidby7948 หลายเดือนก่อน +4

      Said it so confidently I started to wonder if I was the one who had it wrong.🤣

    • @PalladianPD
      @PalladianPD หลายเดือนก่อน

      Came here to say this.

    • @Fogmeister
      @Fogmeister หลายเดือนก่อน

      😂 was gonna say exactly this. 😂

    • @geetar82
      @geetar82 หลายเดือนก่อน

      Came here to say that!!!

  • @KravenMoorehead674
    @KravenMoorehead674 หลายเดือนก่อน +223

    Imagine being so good at math that the “experts” don’t take you seriously because they’re not smart enough to understand your work.

    • @sailinbob11
      @sailinbob11 หลายเดือนก่อน +5

      @@KravenMoorehead674 not something I worry about. Thankfully I can balance my, well... we don't have checkbooks anymore or I don't anyway, my account, and read a tape measure. I did take calculus in college. My professor said I didn't pass. I escaped... It being a Southern military college, I counted it a success. Ooooo Rah !

    • @Bob-qk2zg
      @Bob-qk2zg หลายเดือนก่อน +11

      It happens in all fields.

    • @phyrhfbr1819
      @phyrhfbr1819 หลายเดือนก่อน +6

      I have a similar issue, but with language and communication 😑 I always remind "them" that just because they are unable to comprehend something does not signify its invalidity 🤔

    • @cam5816
      @cam5816 หลายเดือนก่อน +1

      He’s just like me fr 🥹

    • @codyaragon93
      @codyaragon93 หลายเดือนก่อน +2

      *maths

  • @maranathaschraag5757
    @maranathaschraag5757 หลายเดือนก่อน +22

    4chan - where people go to lose iq points...or gain mathematical knowledge....
    i wonder if that anon poster is actually some brilliant mathematician who's so embarrassed to be an anime fan that they don't want their proof to go public under their own name.

  • @radonato
    @radonato หลายเดือนก่อน +11

    "Tilling the plane"?!
    Oh my, Simon.

    • @jorgelotr3752
      @jorgelotr3752 หลายเดือนก่อน +3

      The best way to get those square roots going!

  • @jays5671
    @jays5671 หลายเดือนก่อน +16

    Sometimes, on his non-commentary channels like this, Simon says things so matter of fact and confident that I forget he's just reading a script by one of his lovely writers, and actually has no clue what he's talking about most of the time.
    Then I hear him confuse tiling with tilling (and only half the time) and I remember 😂

    • @billhutchinson6318
      @billhutchinson6318 หลายเดือนก่อน +1

      I get this with Morgan Freeman

    • @SerGio-xs9ss
      @SerGio-xs9ss หลายเดือนก่อน +2

      Reading the script too fast !

  • @SteveKimbo
    @SteveKimbo หลายเดือนก่อน +85

    No mention of Terence Howard and his discovery that 1x1=2? 😂

    • @ThatWriterKevin
      @ThatWriterKevin หลายเดือนก่อน +32

      I've covered that over on Brain Blaze. I figured this script should be reserved for actual discoveries

    • @veridico84
      @veridico84 หลายเดือนก่อน +7

      ​@@ThatWriterKevinThe content you write is fantastic, thank you Kevin.

    • @ThatWriterKevin
      @ThatWriterKevin หลายเดือนก่อน +1

      @@veridico84 Why thank you!

    • @jorgelotr3752
      @jorgelotr3752 หลายเดือนก่อน +1

      That discovery needs a total rewriting of maths, starting from the definition of "times" (and following with the definition of "square root").

    • @psymar
      @psymar หลายเดือนก่อน +1

      also a different crank I saw once who insisted that (-1)² = -(1²) = -1

  • @gerardomalazdrewicz7514
    @gerardomalazdrewicz7514 หลายเดือนก่อน +5

    How about George Dantzig being late for class, seeing two problems on the board, missed they were unsolved problems (due to being late), and proceed to solve them?

    • @ronald3836
      @ronald3836 หลายเดือนก่อน +3

      He did find these "homework exercises" a little harder than usual ;-)

  • @2Namia
    @2Namia หลายเดือนก่อน +28

    For a minute there, I thought Simon was wearing shorts😂

    • @joeloedeman5160
      @joeloedeman5160 หลายเดือนก่อน +5

      Or forgot his pants!

    • @O8WRx
      @O8WRx หลายเดือนก่อน +2

      I almost left this same comment. 😂😂 I was like... Alright then. Lol

    • @BuhurtUK
      @BuhurtUK หลายเดือนก่อน +2

      Not only that but the darker lines were from sort of fishnet stockings.

    • @2Namia
      @2Namia หลายเดือนก่อน +1

      @@BuhurtUK 🤣🤣

    • @LunaC...
      @LunaC... หลายเดือนก่อน +1

      Me too, I thought his legs were bare omg 😂

  • @FlesHBoX
    @FlesHBoX หลายเดือนก่อน +24

    gaaah.... Ramajan???? Ramajan??????? It's RamaNUjan

    • @FlesHBoX
      @FlesHBoX หลายเดือนก่อน +2

      OH god, and it just keeps getting worse... lol

    • @FlesHBoX
      @FlesHBoX หลายเดือนก่อน +2

      Correct pronunciation is Ra-MAH-nujen (though it seems a popular pronunciation among brits is Ra-mah-NU-jen)

    • @adzaaahhh
      @adzaaahhh หลายเดือนก่อน +3

      I was thinking exactly the same thing... I love Simon's shows and presentation style, but this really grated on my ears when he repeatedly mispronounced the mane so many times.

  • @gamingderpies
    @gamingderpies หลายเดือนก่อน

    "Because our brains are too small." LMAO!
    Never have I ever heard a more relatable quote from Simon! 😂

  • @Hythe01
    @Hythe01 หลายเดือนก่อน +5

    Reminds me of the time one of my classmates discovered a new theorem (subsequently named after him) in our A-level maths class… made me question whether I was in the right maths set, to be honest!

    • @BrAndroidB
      @BrAndroidB หลายเดือนก่อน

      Do you know how he went about getting that recognition? I'm guessing the teacher helped?
      I created two. The first time, that professor said "cool", and that was all.
      The second time, the (different) professor called me a liar and scolded me in front of the class - claiming that I must have plagiarized it.
      I've always wondered how I should have handled those situations. It would've been cool to get recognition.

    • @cam5816
      @cam5816 หลายเดือนก่อน

      Though nice for a while, life becomes meaningless with nothing left to surprise or entice you, especially as the bad memories weigh in your mind so much more than the good ones.

    • @Hythe01
      @Hythe01 หลายเดือนก่อน +1

      @@BrAndroidB yes, the teacher and maths department helped with recognition and the school gave him an award

  • @Egofever
    @Egofever หลายเดือนก่อน +11

    Ramajan!?

  • @olanmills64
    @olanmills64 หลายเดือนก่อน +12

    Simon with his own super permutation discovery by saying Ramanujan's name every which way except the correct way 😅
    And FermaTT 😭

  • @dhaxiskhadhammer
    @dhaxiskhadhammer หลายเดือนก่อน +23

    I had to replay Simon saying Haruhi Suzumiya because my ears didn't believe that was actually what he'd said.

    • @jorgelotr3752
      @jorgelotr3752 หลายเดือนก่อน +2

      Well, technically he didn't say that. I don't even know how to write an approximation of what he said.
      What left me in disbelief in that entry was Haruhi being the background of the section's title.

  • @BrAndroidB
    @BrAndroidB หลายเดือนก่อน +18

    During undergrad I created two formulas that were superior to existing solutions.
    For the first formula (calculating the max area when there are both fixed and variable sections of perimeter) the professor thought it was cool, taught it to the class, and we left it there.
    The second formula (solving a complex econometrics queueing problem) had a very different outcome. After demonstrating its functionality, and *vast* superiority over the textbook method, the professor outright called me a liar in class. She admitted she had never seen anything like my method before, but said there's no way I created it and I should be ashamed because I must have plagiarized someone else's work.
    ANYWAYS, I'm not sure what to do with any of this information. But it feels nice to share.

    • @jorgelotr3752
      @jorgelotr3752 หลายเดือนก่อน +7

      Write two papers and send them to a journal.

    • @scepticalchymist
      @scepticalchymist หลายเดือนก่อน +6

      Try to publish the results under your name in a decent journal and get the credit you deserve.

    • @dukeofvoid6483
      @dukeofvoid6483 หลายเดือนก่อน

      arXiv, vixra...

  • @codedinfortran
    @codedinfortran หลายเดือนก่อน +2

    As a recreational would-be mathematician (with a lifelong fascination in tessellation)
    I found this episode quite wonderful!

  • @karenshadle365
    @karenshadle365 หลายเดือนก่อน +33

    Imagine being so good at math that when your teacher says " Show your work", that you're unable to do so. You can only say " I looked at the problem and just knew the answer." This doesn't go over really well in school.
    This was my brother. But of course he was always able to pass his tests with flying colors. And the SAT tests didn't require work to be shown, so A-OK. He got his scholarships.
    Strangely, he's kind of a dolt in anything else but math, but I think it's because of his lack of interest in other subjects.

    • @BrAndroidB
      @BrAndroidB หลายเดือนก่อน +3

      That hits too close to home.
      Acing math tests but still receiving a 'B' or 'C' grade due to not showing work (and not being able to show work when asked). Then, as a result, being accused of cheating.
      Or, better yet, finishing said tests - LONG before anyone else in class - with every single correct answer, so that it disproves any cheating accusations. But STILL not receiving an 'A'... it's frustrating.
      I thought I was the only one to ever experience something like that. I hope your brother is doing well.

    • @olanmills64
      @olanmills64 หลายเดือนก่อน +2

      Being able to show your work is important for understanding though. Being able to do it intuitively in your head is a useful skill in everyday life like when you're dealing with finances and shopping and stuff, or even when absorbing stuff from the news. However, in scientific and academic fields in the professional world, computers can do lots of the stuff that's been figured out, but if you're designing/engineering a system, coming up with a testing plan, being able to show how and why your math is leading to the decisions you're making is important so that it can be critiqued and alternatives can be considered, not to mention just be be able to verify what you're claiming

    • @Leyrann
      @Leyrann หลายเดือนก่อน +2

      Had that in high school. Most of my math education (in particular in later years) was focused on getting me to properly note down all steps, which I did actually get very good at eventually, and good thing too, because we _were_ graded on the process as well as the answer. To the point where if you were to write down all correct answers but nothing that got you there, you'd get a failing grade.
      By the end of high school I could pretty much perfectly do precisely one computation to every single component of an equation, meaning I didn't have to use any extra lines in order to solve it, but also didn't create ambiguity by doing multiple steps in one go. I actually really liked the precision and clarity of that, which I guess might be an autism thing.

    • @karenshadle365
      @karenshadle365 หลายเดือนก่อน +1

      @@BrAndroidB
      I sent you a big long reply but it disappeared. Who knows why? Yes he does have a very successful life. He worked as an engineer at Boeing for over 40 years. Good thing he retired before the big problems started there.

    • @karenshadle365
      @karenshadle365 หลายเดือนก่อน

      @@olanmills64
      Pretty sure that by the time my brother graduated from Stanford with his master's degree in Engineering he was able to show his work successfully. Heh heh.

  • @danielgay1772
    @danielgay1772 หลายเดือนก่อน +8

    can you imagine if Simon had the pill from limitless that allowed you to remember and use all information you have ever heard or learned

    • @danielgay1772
      @danielgay1772 หลายเดือนก่อน +1

      yo he would be a knowledge god

    • @catherine_404
      @catherine_404 หลายเดือนก่อน +2

      Forgetting is a very important part of memory. You can train to have a better memory, but, you know, ain't anybody got time for that. I expect memory pills for healthy people would be in some way horrible if not immediately then in the long run. Just for the reason that any and all "enhancement" drugs, as far as I know, harm their users.
      Just a thought.

    • @notreallydavid
      @notreallydavid หลายเดือนก่อน

      RamANujan, for God's sake. He's not an obscure figure.
      (Ah, you got it later on - good. Earlier bits not reshot, though.)

    • @notreallydavid
      @notreallydavid หลายเดือนก่อน

      GH Hardy, for fuck's sake!

    • @keithwalmsley1830
      @keithwalmsley1830 หลายเดือนก่อน

      He would be the Master of the Universe!! 😇

  • @Makem12
    @Makem12 หลายเดือนก่อน +13

    Simon hates Anime so much, that he can't even correctly pronounce titles of Anime. He just drops the occasional syllable and calls it good enough.

    • @RLKmedic0315
      @RLKmedic0315 หลายเดือนก่อน +1

      He spends way too much time trying. It's not worth a second of effort

  • @mikeyoung9810
    @mikeyoung9810 หลายเดือนก่อน +6

    sorry I'm going to comment on something other than flooding the host with compliments. As a young man I went into college algebra after not loving high school math (which was just doing 3 hours a problems a night for homework so it does lead to a dislike of math). Enter college and I find a teacher who loved what he did and soon I loved math (even thought of a new theorm in class which he named for me but no idea what it was now). That makes all the difference. US schools are like this where the better teachers showing up in college and the lessers in highschool. this didn't help me though when a calculus course featured a korean teacher that I couldn't understand a word he said and a book full of problems with no explanations. Thus, my short love of math ended. But I still love numbers as ignorant as I am.

    • @podpolia
      @podpolia หลายเดือนก่อน +3

      There are some great teachers at the high school level too, though they may be harder to find - at the college level you tend to be teaching more motivated students. Either way, you're right - having a good teacher can open whole new worlds to you, even if they're not worlds you're destined to explore.

    • @cam5816
      @cam5816 หลายเดือนก่อน

      Crazy how much money we have to spend for college, increasing every damn year, just for the actual teacher to not even come to their own class, having a foreign TA teach that no one can understand, and using pre-made homework, tests, and quizzes from the internet.

  • @mohammedsaysrashid3587
    @mohammedsaysrashid3587 หลายเดือนก่อน +2

    Wonderful introduction thanks

  • @dekeltal
    @dekeltal หลายเดือนก่อน +11

    Now we have to calculate the length of the superpermutation of all the different ways Simon succeeded to pronounce "Ramanujan" 🤣🤣

  • @hyqhyp
    @hyqhyp หลายเดือนก่อน

    Roger Ramajam and the Indian Elephants are truly the clever guys. And mathematical too.

  • @eggsngritstn
    @eggsngritstn หลายเดือนก่อน +20

    Pedantic pronunciation comment: Euler is pronounced OY-lur, and Fermat is pronounced FAIR-mah.

    • @ianstopher9111
      @ianstopher9111 หลายเดือนก่อน +7

      And let's not get started on Ramanujan.

    • @CanuckMonkey13
      @CanuckMonkey13 หลายเดือนก่อน +1

      Also, "tiling" is pronounced "tiling" and not "tilling". 😂

    • @R3_dacted0
      @R3_dacted0 หลายเดือนก่อน +1

      And "Haruhi" is pronounced Har-Rue-He, not Har-Ru.

  • @mastersKaaP
    @mastersKaaP หลายเดือนก่อน +1

    Simon secretly challenging himself to see how many different pronunciations of Ramanujan he can manage in one video.

  • @rosiefay7283
    @rosiefay7283 หลายเดือนก่อน +2

    Another example: Dave Smith's discovery of two shapes, the "hat" and "turtle", each of which is an aperiodic monotile. That is, copies of it can tile the plane, but it cannot tile the plane in a regular way. Smith's discovery was announced in March 2023. Since about 1960, mathematicians have considered the question of how few shapes there can be in an aperiodic tile-set, and, in particular, if the number can be reduced to 1.

    • @ronald3836
      @ronald3836 หลายเดือนก่อน

      He finally beat Pernrose tilings :)

  • @codyaragon93
    @codyaragon93 หลายเดือนก่อน +1

    Happy to at least understand the geometry part. 🎉

  • @RolanRoyce
    @RolanRoyce หลายเดือนก่อน

    Here's a math and geometry discovery that I made a while ago. I couldn't find any geometric method for obtaining Lorentz factors so I worked one out myself, just for something to do. You make a vertical line 1 unit long to represent light speed, which I will call the "Line C", and make a half circle arc connecting its top and bottom ends, obviously centerd at the middle of Line C. Then you mark a point on Line C at a distance from the bottom end which is the percentage of c that you want to obtain the Lorentz factor for, ie, for 75% of c the mark would be 0.75 unit up the line. Then draw an arc, centered at the bottom end of Line C, from that mark to intersect the half circle. Then draw a line from the top end of Line C to pass through the intersection of the two arcs and continue until it reaches a horizontal level a little below the bottom end of Line C, I'll call this slanted line "Line 2", and then draw a horizontal line from the bottom of Line C to intersect Line 2, I'll call this horizontal line "Line 3".
    The length of Line 2 to the intersection point with Line 3 will be the Lorentz factor and the length of Line 3 will be how far the moving object traveled relative to the length of Line C, ie, for 75% of c Line 2 would be 1.511858 units long. That's how far an observer in another frame, ie, a "stationary" frame, would see it travel in 1.511858 seconds on their own clocks, which, according to Einstein, would be 1 second to observers in the moving frame.
    Note that the distance traveled is not 0.75 the length of Line C but, rather, 0.75 x 1.511858, which is 1.1338935. It's not a simple matter of making a right triangle with sides of lengths 1 and 0.75 and the hypotenuse being the Lorentz factor. Without the method I described, you would already need to know the Lorentz factor in order to draw the real right triangle, because how could you draw it unless you knew that the base had to be 1.1338935 units long? With my method you don't need to know the length of the base in advance, it's revealed later after drawing Lines 2 and 3, all you need to know in advance is the percentage of c involved and you obviously would need a geometry drawing program to get accurate results. I just said "mark a point on Line c" to describe it in terms of physically drawing it with a pencil.

  • @baahcusegamer4530
    @baahcusegamer4530 หลายเดือนก่อน +6

    lol, Haruhi is still spreading happiness and mayhem around the world after all these years.

    • @kelm102
      @kelm102 หลายเดือนก่อน +2

      Never in a million years did I think I'd see Haruhi Suzumiya show up in a Simon Whistler video of any sort.

  • @ObiWanCannabi
    @ObiWanCannabi หลายเดือนก่อน +2

    time dilation has always been a fascination of mine, i recently figured out a way of mapping general relativity, and it is all flat, yet curved, I separated the dimension of space and time, mapping 3D space in the dimension of time, you need to use the same logic on the earth as science has done on the observable bubble, turn it into a light cone, take its radius as the cones height and the circumference as the diameter of your tops circle, this sets your baseline gravitational cone, extend the lines to infinity and you should be able to plot any circular orbit on this as a straight line and see how its time in space trades for a position in time.
    At rest an object is on the surface, but say there was no atmosphere and you fire a bullet on the horizon at orbital velocity, you have traded its rest point in space for an orbital point in time, as you add more speed its path across the line doesnt increase, the line gets longer and it is forced further outwards so its distance line stays in between the cone of causality... if you do not reach orbital speed then the bullet falls through the sliced layers of time until it is on the correct orbit in space, but in reality its until it is back at rest with the surface.. without collision it would find its place in orbit, so you arent feeling gravity, time is trying its best to pull you down onto the correct line in spacetime for your speed in it..
    In a universe where time and space dilate so easy this is the only true constant.. an orbit will always take the same time, you always travel the same speed across the line, no matter how dilated things were, a year always seems like a year, but 1 second now is like 13 billion years happening in a second.. 13 billion years ago.. The closer you get to a black hole the more time dilates to the outside observer watching the show play out but inside things tick infinitely faster, their journey through space becomes more of a journey through time.. just like when you move from orbital lines.. you trade energy from your position in space for your position in time.. If we could go faster than the speed of light time would dilate with us, space and time in its reference frame act and feel the same, but outside it would look like space was bending and warping
    Gravity is an illusion of the warping of spacetime, tick rates run at the same speed around a mass in an orbital path, if this path is straight in the dimension of time, then it kind of says its flat and straight in spacetime.. 4d spacetime looks spherical and curved, but in 3d space, gravity isnt a thing.. the 4th dimension of time is what curves space.. 3D space and 4D spacetime confuse the shit out of people who are only accustomed to existing on a 2D flat surface.. with light giving confirmation bias, but at a certain point you cant use a laser to measure somethings straightness or flatness in 4D spacetime, as the laser doesnt bend with the universe in quite the same way, things with mass would follow orbits, staying flat and parallel to the surface, even if it curves with the horizon that horizon curved so it always stays flat, a bar on a bridge 99% around the earth should be ale to roll without atoms in its shape needing to deform or dislocate, spacetime did all the dislocating if the bridge stayed parallel to the ocean and if its ticks were all straight in spacetime, then it is flat in both space and time.. the bar would look like it flexed and dislocates, but it doesnt need to, spacetime is the thing bending.. not the bar.. the bar just highlights the curving, same as the planet does..
    light is not only massless, its speed makes it falling into orbit impossible, but weirdly if light did have just a little bit of mass, some would get caught in orbit and you would be able to see past the curve of the horizon, seeing from LA to Paris we might all be convinced things were a lot flatter out here..
    If you flatten out the dimension of time you can see gravity as the same straight lines as light, in one weird perspective its a valuable map, it could show what parts of the universe are the oldest, you could see the dilation of space and time, everywhere a second has existed another part of the universe experienced 4.. it seems to me like its been expanding for 13 billion years squared or cubed..
    Science is convinced space and time are expanding, but you could put it inside a black hole, according to the cones there is a point of space at the centre of mass where the planets mass is pulling you out in equal opposite directions, the length of your orbital line at that depth would be how it would feel, relative to the surface at 1G, there is an infinitely small line at the core representing that..
    the surface is where you feel the most mass blow you, you have higher gravity on mountains and lower on the ocean floor, the flerf map is a good model for a slice of the earth at ground level it maps gravity nicely.. newtonian gravity wells end here, einsteins math shows that as you go into the planet there is a point in spacetime that exists at the same dilation as if the planet wasnt even there.. of course the density and pressure down there is also something else... if you flattened things out for density, i wonder if my cone shape becomes cubic or cylindrical... if it does then if you cored a hole through a globe and mapped it on my map, id bet it shows that its not only a curved line through space and time its not even the shortest any longer.. but anyway
    I imagine this point could exist inside a black hole, it looks hot and small and compressed to an outside observer but inside is a tiny flat, spherical area of spacetime.. inside it seems cool to the observer, and as the black hole evaporates it cools and looks like expansion, its at a steady rate tho it looked like rapid expansion earlier in time, its just an illusion of a logarithmic curve propagating in 4d space, to an inside observer an expanding or cooling universe would look exactly the same when time dilates as things change either way..
    in 4D spacetime you need 1 line of causality going out from the sun to represent the start and stop point to an orbit, if you mark that arbitrary straight line out from the sun it has one line of continuity, in a 3d world flattened out to a cone you need 2, in 2D space on a map you will see you need 4, if you look at a polar orbit each time the line changes direction is where causality bumps it from this perspective, it looks like it goes up, then left, then down then right, or vice versa, but its always doing that 360 degree journey in spacetime in 1D space you need 8 lines of causality, so it does suggest in 5D you need 0.5 lines or maybe none... but the 3D world around us is conical, not spherical. it works so nicely, flattening out those straight line orbits in space you see how it all works, your resting point when you arent moving is trying to pull you into your orbit as it should be in spacetime, so you feel gravity, if you was at the centre of the earth any mass you tossed would fly up, not down as your orbital velocity at that point in curved spacetime its much shorter of an orbit.. the cone is gravitational potential map of local spacetime, you could do this for any large body, just using its radius and circumference, even the observable universe
    Time travel should be as easy as speeding up or slowing down your motion in the 4th dimension, you should fall back to your relative point in space for your speed in it, if you could stop your motion and pause your dilation, winding back the universes clocks, it should all converge as a singularity in 13 billion odd years, but travelling with the wave, your dilation continues and the wave always seems 13 billion years in time.. an outside observer witnessing it would see you grow in the night sky until you were larger than the observable universe, and red shifted to oblivion. Scale and perspective seem to be everything..
    if you tweak C the same math predicting the evaporation of a puddle of water predicts the decay of uranium, we use water as a dynamical replacement for air at supersonic speeds, changing the tick rate of the universe changes everything.. its all just vibrating energy fields, bound by similar rules on different scales. Change your perspective so a hydrogen atom is as big as a star and its lightwaves blue shift as you shrink, its IR now visible, the outside universe now red shifted to your perspective, could you tell reality now, from the void of space, it would be gravitationally flat on those scales across the observable universe,, oxygen too big to breathe, fundamental forces tugging on you in all directions, you might feel weightless apart from the mass of the thing that looks like a star

  • @jingalls9142
    @jingalls9142 หลายเดือนก่อน

    Ramanajan even made equations that apply to fields of study that hadnt been invented yet. Like modern computing or quantum mechanics. He also taught himself alot of things independently of his contemporaries. I would love to have a year long conversation with that man....i would be undoubtedly lost but i digress itd be something to witness.

  • @Iowa599
    @Iowa599 หลายเดือนก่อน +1

    I involuntarily did a doubletake the first time your flesh-tone pants were shown 😅

  • @demikweer
    @demikweer หลายเดือนก่อน

    I had to see if the video was running at normal speed, what a quick speaking!

  • @BuhurtUK
    @BuhurtUK หลายเดือนก่อน +1

    Kevin, did you include Ramanujan's name so many times on purpose? If so you might be my hero.

  • @Drofthechalice
    @Drofthechalice หลายเดือนก่อน

    Half expected Simon to start singing Black Betty when pronouncing Srinivas last name.

  • @pyroicarus1203
    @pyroicarus1203 หลายเดือนก่อน +1

    How about the Keeler’s theorem from Futurama S6E10 "The Prisoner of Benda"?

  • @HectorDiabolucus
    @HectorDiabolucus หลายเดือนก่อน

    Add to this list the chiral aperiodic monotile problem, solved by a floor tile contractor. He found the shape known as the spectre.

  • @Indyofthedead
    @Indyofthedead หลายเดือนก่อน

    If this happens in maths, this likely would happen everywhere else in the sciences, but the barriers for entry are either way too high for them to ever contribute, or their circumstances keep them from being able to pursue the field. There's a reason why famous scientists of the past were all rich noblemen.

  • @blythewarland5459
    @blythewarland5459 หลายเดือนก่อน

    Love it, your right my brain is too small for that

  • @silver6054
    @silver6054 หลายเดือนก่อน +2

    Fermat wasn't always correct His conjecture on 2^2^n +1 being prime was disproved (100 years later, but still disproved)

    • @ianstopher9111
      @ianstopher9111 หลายเดือนก่อน

      Neither was Euler: his sum of powers conjecture was disproven by Lander and Parkin in 1966.

    • @silver6054
      @silver6054 หลายเดือนก่อน

      @@ianstopher9111 RIght, but the video said Fermat was always right in his conjectures. Don't think he said that about Euler

    • @ianstopher9111
      @ianstopher9111 หลายเดือนก่อน

      @@silver6054 I could not find the statement in the section where it was claimed Fermat was always right, but I will accept your point.

    • @silver6054
      @silver6054 หลายเดือนก่อน

      @@ianstopher9111 Around 12:30 "inevitably turned out to be true".....

    • @ronald3836
      @ronald3836 หลายเดือนก่อน

      Good point. I was wondering if that statement about Fermat's claims was really true. (So indeed it was not.)

  • @Maelthras
    @Maelthras หลายเดือนก่อน

    I like math and science, and I have a intuition with such. I love playing video games and one day I was watching a video about science and physics and it was nagging at my brain. I rewatcheda 30 second clip of it about 4-5 times knowing something important was there and then I had the inspiration. I was playing a game along time ago and someone made their own combat system and it was brutally flawed, they were taking 3 dice with 33 sides to replace a 100 sided dice roll. But doing this reduces randomness by a magnitude each time you add a dice. Meaning one dice is completely random, but two or more and the numbers becoming increasingly less random until the answer is such a tight range that it can only very by a few digits. What if this describes the break down of quantum mechanics into classical mechanics. Could also describe that radioactivity and half lives is a quantum effect persisting through specific materials and energy levels.

  • @glennmorrow2755
    @glennmorrow2755 หลายเดือนก่อน

    Like this one. Good stuff.

  • @ianstopher9111
    @ianstopher9111 หลายเดือนก่อน +1

    One other example I would have added: Heegner and the proof that the known numbers for Class 1 for quadratic imaginary number fields are complete. Ignored until after his death, but essentially correct.

    • @ronald3836
      @ronald3836 หลายเดือนก่อน

      I thought of him too!

  • @thorstambaugh1520
    @thorstambaugh1520 หลายเดือนก่อน

    Ramanujen was so far ahead of his time that only a handful of people could follow the work. There are still pages of his work either little understood or simply dismissed to this day. The only person I can think of that would be equivalent would be Tesla

  • @Nick-v7b3l
    @Nick-v7b3l หลายเดือนก่อน

    I needed tutors to get through long division and flunked algebra so bad i had to graduate high school with remedial math.

  • @LesCish
    @LesCish หลายเดือนก่อน

    "... because our brains are too small." Amen to that.

  • @keithmichael112
    @keithmichael112 หลายเดือนก่อน

    They could probably solve all remaining outstanding math problems by somehow relating it to an old anime and posting it on a forum

  • @StruggleButtons
    @StruggleButtons หลายเดือนก่อน

    What’s crazy to think about are those geniuses, like Ramanujan, who are just lost to history for one reason or another.

  • @arg1051
    @arg1051 หลายเดือนก่อน

    You don't need an "enormous brain." You just have to take the first step, which is to start learning. I'm not smart at all, lol, but I love math, and I do it everyday as much as I can. I started with Martin Gardner puzzles when I was in middle school, and eventually made it through grad school in math just solving puzzle after puzzle it feels like to me. As he mentions, you don't need anything more than paper and pencil to begin, but to get an idea of where to begin you can start with some Martin Gardner puzzles or there's a book by Richard Courant, "What is mathematics?" that's a good place to start as well. The late great V. I. Arnold once said that mathematics is the least expensive of all the sciences, you don't need a million dollars, you just need some paper. Which reminds me, V. I. Arnold has a good book, "Lectures and Problems: A Gift to Young Mathematicians" that only requires up to high school math to work through, but the problems in it can keep you occupied the rest of your life.

  • @HerbertLandei
    @HerbertLandei หลายเดือนก่อน

    The most likely theory about Fermat's "proof" is that he could prove the easiest case n=4 and maybe n=3 with what he called "method of infinite descent", and assumed that this would also work for bigger n. And it's easy to go wrong with this, e.g. Ernst Kummer first thought he had a proof, but it "only" worked for about half of the prime numbers (the "regular" primes).

  • @architech5940
    @architech5940 หลายเดือนก่อน

    Mathematics dates back before the Egyptians. The Mesopotamians and Sumerians (also Mesopotamia) were the first to establish mathematics for accounting and agriculture.

  • @RedRouge-j4j
    @RedRouge-j4j หลายเดือนก่อน

    no mention of the ‘einstein’ tile (the hat, not the guy who also played violin)

  • @anonymustly7818
    @anonymustly7818 หลายเดือนก่อน

    Yeah, another I didn't understand a word of. No surprise since standard math classes were eliminated from my curriculum in 6th grade to enter me into LAUSD experimental computer classes eventually leading to a 30 year career in IT.

  • @PopeLando
    @PopeLando หลายเดือนก่อน

    Slowly slipping the "nu" back into "Ramanujan" there.

  • @geetar82
    @geetar82 หลายเดือนก่อน

    8:22 M.C. Escher….. hold my beer. 🍺

  • @StefanMedici
    @StefanMedici หลายเดือนก่อน

    Glad to know there's sci fi writers who still care about the sci part.

  • @coconyt3623
    @coconyt3623 หลายเดือนก่อน +13

    "1 minute ago" holy hell!
    Big ups Simon & Co, love you guys! Educating random mofos more, faster and better than most educational institutions.

  • @Cocoa_Kalypso
    @Cocoa_Kalypso หลายเดือนก่อน

    The way my face scrunched up with each "Haruhi" 😖.... it's worse than Michael B Jordan saying "Naruto"

  • @migmit
    @migmit หลายเดือนก่อน

    Actually, we don't really know if Fermat wrote those words on the margins of a book. The book itself was lost, and all we have is Fermat's son saying this in his father's biography. There is no confirmation.
    What is more convincing than just “all those smart people couldn't get it, so Fermat obviously couldn't either” is that there was a common mistake, made by many professional mathematicians, offering their own proofs of that theorem. The mistake is subtle, and it would be easy for Fermat to make it as well.

    • @ronald3836
      @ronald3836 หลายเดือนก่อน

      I found an elementary proof myself. Unfortunately, it does not fit in this comment.

  • @Novastar.SaberCombat
    @Novastar.SaberCombat หลายเดือนก่อน +1

    As long as it gets marketed.

  • @car0lm1k3
    @car0lm1k3 หลายเดือนก่อน

    Greg Egan is the hardest hard sci-fi writer. my brain is definitely too small.

  • @Crioten
    @Crioten หลายเดือนก่อน

    I'm glad that my kid starfish is loving maths

  • @TheSmokeofAnubis
    @TheSmokeofAnubis หลายเดือนก่อน

    "Superpermeatations" .... AKA making stuff up to fit your model.

  • @ethanwalshe766
    @ethanwalshe766 หลายเดือนก่อน +2

    No way my guy said “tilling the plane” this ain’t a field

  • @mxula7172
    @mxula7172 หลายเดือนก่อน +6

    ramajan? tilling the plane? this happens when you have like a billion youtube channels and just spam content.

    • @davidpotash7256
      @davidpotash7256 หลายเดือนก่อน

      I’ll bet you knew everything here.

  • @ZER0--
    @ZER0-- หลายเดือนก่อน

    Fermat's Last Theorem was not a theorem, it was a conjecture.

    • @ronald3836
      @ronald3836 หลายเดือนก่อน +1

      Now it is a theorem :)

  • @Michael75579
    @Michael75579 หลายเดือนก่อน

    I've always assumed that Fermat had one of the many subtly-flawed proofs that have been discovered over the years. It's possible that there's a simple proof that everyone else has missed, but I'd say it's extremely unlikely. He definitely didn't have Andrew Wiles' proof, which runs to many pages and uses areas of mathematics that weren't discovered until long after Fermat's death.

    • @sydhenderson6753
      @sydhenderson6753 หลายเดือนก่อน

      I suspect, though, he had a proof of his little theorem, which is actually much more important.

  • @kaeverens
    @kaeverens หลายเดือนก่อน

    please straighten those books on the bookshelf! as an amateur bookbinder, I'm getting stressed thinking of the damage you're doing to the spines!

  • @ewingtaylor5487
    @ewingtaylor5487 หลายเดือนก่อน +1

    Wonder - Has any mathematical relationship ever been actually been invented, or are they already out there - set by the nature and laws of the Universe, waiting to be discovered ?

    • @ThatWriterKevin
      @ThatWriterKevin หลายเดือนก่อน +1

      I think I've mentioned it in a script on this channel before, but that debate's been going on for thousands of years.

  • @patinsley
    @patinsley หลายเดือนก่อน

    2mins in and my brain has flat lined

    • @ThatWriterKevin
      @ThatWriterKevin หลายเดือนก่อน

      Sorry! I try to make it consumable, but it can be really tough with math

  • @willisengelbrecht7731
    @willisengelbrecht7731 หลายเดือนก่อน

    They recently discovered a tile that can fill a plane and also never have a repeating pattern

  • @Magdalena8008s
    @Magdalena8008s หลายเดือนก่อน

    There was two 16 or so year old girls in high school that did something recently regarding Pythagoran Theorem. TH-cam it and youll see videos with them.

  • @johnlarson505
    @johnlarson505 หลายเดือนก่อน

    If someone goes into the professional sports without going to college, they are still considered a professional athlete. Ramanujan was a professional mathematician.

  • @alikaperdue
    @alikaperdue หลายเดือนก่อน

    I'm too humble to say Ramanujan was an amateur. I believe he was well read. I would say he was a self taught professional.
    Otherwise, I may be inclined to call Faraday and Fermat amateur.
    Update: @10:26 - you call Fermat a "professional amateur" . I guess that's right based on the labelling of others. I find it hard to give that label to such unique people. I'm guessing most Mathematicians who make great discoveries are not employed directly under that title. What do I know.

  • @easyandroidapps
    @easyandroidapps หลายเดือนก่อน

    if the rule is only 5 sides and all tiles equal i think i have more pentagonal tiles, maybe infinite. What do i do?

    • @sydhenderson6753
      @sydhenderson6753 หลายเดือนก่อน

      Publish in Scientific American.

  • @economicsonline
    @economicsonline หลายเดือนก่อน

    Say it with me:
    Rah - muh - new - jen
    Or you could just call him Ram Jam.

  • @roguelegend4945
    @roguelegend4945 หลายเดือนก่อน

    yeah i am thinking squares but then every thing fall apart when i think of squares form with the prime numbers spiin,,, because the squares will be deformed and no longer look like squares...

  • @michaelmclaughlin5511
    @michaelmclaughlin5511 หลายเดือนก่อน

    Interesting stuff But... what does knowing these mathematical questions answer achieve?
    No disrespect meant just wondering.....

    • @ronald3836
      @ronald3836 หลายเดือนก่อน

      It achieves understanding.
      Every prime number of the form 4n+1 can be written as the sum of two squares in one way.
      5 = 1^2 + 2^2
      13 = 2^2 + 3^2
      17 = 1^2 + 4^2
      29 = 2^2 + 5^2
      37 = 1^2 + 6^2
      41 = 4^2 + 5^2
      53 = 2^2 + 7^2
      57 = 3^2 + 6^2
      etc.
      Why is that? Can we prove that this really is always the case for any prime p=4n+1 ?

  • @Ken-rq9xr
    @Ken-rq9xr หลายเดือนก่อน

    Twelve years old solved a three thousand years old math problem.
    Trisect angel with strait edge and compass. Solved it but. Being a kid with no budget put x on piece paper giving me four tries.
    My paper was sent to university of Toronto mathematics section for confirmation.
    It worked yes but only with angles that were multiples of thirty degrees.
    Closer than anyone else in there Thousand years I should get an honorable mention somewhere.😮

    • @ronald3836
      @ronald3836 หลายเดือนก่อน

      So you did not solve it. (And we can prove that there is no solution.)

    • @Ken-rq9xr
      @Ken-rq9xr หลายเดือนก่อน

      @@ronald3836 I should rework my answer I was close.
      My current answer works but only with 30 60 90 120 150 180 degrees etc.

    • @Ken-rq9xr
      @Ken-rq9xr หลายเดือนก่อน

      @@ronald3836 my teacher never gave back my paper, still wonder 🤔 if he put his name on it . 1973-74

  • @SkyForgeVideos
    @SkyForgeVideos หลายเดือนก่อน +1

    Tilling?

  • @kbsanders
    @kbsanders หลายเดือนก่อน

    🎵Whoa Black Betty, ram a jam. 🎵

  • @roguelegend4945
    @roguelegend4945 หลายเดือนก่อน

    yeah everything is easy when things are flat non moving lines, once it goes into the prime numbers spin, and movement, everything is a different world of math there...

  • @ericbaysinger314
    @ericbaysinger314 หลายเดือนก่อน

    I always have to play his videos at 75% speed.

  • @raybieze
    @raybieze หลายเดือนก่อน +2

    Was the intent to pronounce Ramanujan’s name differently every time you say it? He was not an amateur tho.

    • @ronald3836
      @ronald3836 หลายเดือนก่อน

      He had no formal schooling in mathematics.

  • @protocol6
    @protocol6 หลายเดือนก่อน +1

    How did you manage to lose a whole syllable from Ramanujan's name? I know the Indian pronunciation puts a little less stress on it than the usual English pronunciation but dropping it entirely is a bit much.
    Edit: Oh, you do get it (or at least closer) a few times.

  • @nickleezer2129
    @nickleezer2129 หลายเดือนก่อน

    I’ve had this question in other videos as well, are you saying “math” or “maths“?

    • @nayman2801
      @nayman2801 หลายเดือนก่อน

      British people say maths

  • @jamesleatherwood5125
    @jamesleatherwood5125 หลายเดือนก่อน +1

    I know Ramamnajan"s plight. im an ideas guy, not a maths guy. no one listens to any of my ideas.....

  • @theawesomeman9821
    @theawesomeman9821 หลายเดือนก่อน +1

    These mathematicians should be referred to as brilliant not amateur

    • @ThatWriterKevin
      @ThatWriterKevin หลายเดือนก่อน

      Did anything in the script lead you to believe we felt they were anything less than brilliant?

  • @PeopleHaveValue
    @PeopleHaveValue หลายเดือนก่อน

    I have my own take on prime numbers.

  • @MrAlRats
    @MrAlRats หลายเดือนก่อน

    Consult with someone who speaks Tamil, how to pronounce Ramanujan and consult with any mathematician on how to pronounce Euler.

  • @aadeyemi5767
    @aadeyemi5767 หลายเดือนก่อน +2

    Ramanujan was not an amateur

  • @Robbiebert14
    @Robbiebert14 หลายเดือนก่อน

    Lol "Ramajan"

  • @mathunt1130
    @mathunt1130 หลายเดือนก่อน

    It's G.H. Hardy.

  • @MrMidlandman
    @MrMidlandman หลายเดือนก่อน

    Fascinating video, but as a life-long pedant I HAVE to point out that Fermat's name is pronounced "firmer" and, more importantly, Euler is pronounced "oiler". This latter one is especially important to get right, as otherwise you totally lose the effect of the time when three mathematicians, Bose, Shrikhande and Parker, disproved one of Euler's conjectures and became known as "Euler's spoilers". Pronouncing it "yooler" doesn't quite work, does it?!

    • @sydhenderson6753
      @sydhenderson6753 หลายเดือนก่อน

      It's common though, since eu is pronounce "ewe" in Euclid.

  • @justinholt1247
    @justinholt1247 หลายเดือนก่อน

    Good beard cut. 0:59

  • @MikkelUnrau
    @MikkelUnrau หลายเดือนก่อน

    11:44 ah yes, the famous mathematician Leonhard "You-ler"