How geometry created modern physics - with Yang-Hui He

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  • เผยแพร่เมื่อ 2 ต.ค. 2024

ความคิดเห็น • 243

  • @theccieguy
    @theccieguy 11 หลายเดือนก่อน +8

    I am still amazed by the fact we get these great lectures for free, anywhere we want. Thank you RI.

  • @RD-sk8cx
    @RD-sk8cx ปีที่แล้ว +8

    Yang-Hui He is such a good communicator, would have loved to be in his class. This talk brought back what first kindled my interest in mathematics in school - Euclidean proofs. And then he builds up from there. Brilliant.

    • @mickybadia
      @mickybadia ปีที่แล้ว

      Hmm, I was just thinking, I find his style a bit too narcissistic to be really pleasant.

    • @RD-sk8cx
      @RD-sk8cx ปีที่แล้ว +1

      ​@@mickybadia being pleasant was not a trait I would associate with even one of my mathematics teachers or professors. What we appreciated was mastery of the subject, the ability to transmit knowledge clearly, solve complex problems logically and methodically. We never really cared whether they were pleasant or not. I don't find Yang-Hui narcissistic, you do, perhaps this variance reflects our individual personalities rather than his.

  • @RussellChapman99
    @RussellChapman99 ปีที่แล้ว +199

    Without geometry, life would be pointless.

    • @jamieanderson7757
      @jamieanderson7757 ปีที่แล้ว +32

      I like your line of argument.

    • @seancharles1595
      @seancharles1595 ปีที่แล้ว +20

      I am always going off at a tangent.

    • @OfficialGOD
      @OfficialGOD ปีที่แล้ว +7

      Life would be infinity

    • @phoenixfire8978
      @phoenixfire8978 ปีที่แล้ว +7

      That was a BAD pun, take my like.

    • @MiroslawHorbal
      @MiroslawHorbal ปีที่แล้ว +4

      Thank you for the chuckle 😄

  • @brianlee9310
    @brianlee9310 ปีที่แล้ว +10

    I could watch these brilliant lectures all day and night long and I have . I AM

    • @richardyoung5293
      @richardyoung5293 ปีที่แล้ว +4

      you are what homie

    • @MrElvis1971
      @MrElvis1971 ปีที่แล้ว +1

      ​@richard YOUNG possibly... "I AM" doing what he said he could do. As in, in the present tense... verb

  • @raphaelkaume
    @raphaelkaume ปีที่แล้ว +4

    What an amazing teacher! Such a joy to listen to! I mean these are fearsome topics for most but he had me smiling and laughing several times. His students are most fortunate and now so is the rest of the world able to access this. Thanks Yang-Hui He!!!😃

  • @F_L_U_X
    @F_L_U_X ปีที่แล้ว +6

    I forgot how amazing Ri videos are. Been falling asleep to The History of the Universe lately.
    Daniel Tammet comes to mind when listening to this guy explain his passion. I would love to see them hang out.

  • @jjson775
    @jjson775 ปีที่แล้ว +1

    Great presentation and kudos to professor He for dressing so well in this revered venue.

  • @TazPessle
    @TazPessle ปีที่แล้ว +27

    I remember in high school (about 14) we were all told to make a triangle out of paper, tear off each corner and place them on a line in our excercise book. It was the only math lesson that we used glue sticks, but something about that practical aspect allowed me to start manipulating geometric problems in my head to make the solution more apparent.

    • @Niyoriety
      @Niyoriety ปีที่แล้ว +1

      Nice, I remember my teachers following a education system to teach us kids and it was nowhere near this level of creativity and inspiration. I learned more in 1 hour than about 8 years of school.

  • @as-qh1qq
    @as-qh1qq ปีที่แล้ว +3

    Such a beautiful lecture, like a well written screenplay.

  • @freeheeler09
    @freeheeler09 ปีที่แล้ว +2

    I would have liked to take a course or seven from you! Your love of mathematics is inspiring!

  • @kennethemmanuel3065
    @kennethemmanuel3065 ปีที่แล้ว +32

    This is one of the best Royal Institutions Lectures I have watched.
    Showing how mathematics has evolved over time - and consequently physics as well.
    For the first time I finally got to see how mathematics is the beautiful language of the universe.
    I loved the professor’s enthusiasm and his way of communicating these ideas. Beautiful video.

    • @IsomerSoma
      @IsomerSoma ปีที่แล้ว +1

      @Winged Jupiter ?

    • @IsomerSoma
      @IsomerSoma ปีที่แล้ว

      @Winged Jupiter Has anyone ever taken your uneducated and incoherrrent ideas seriously?

    • @chanrasjid8688
      @chanrasjid8688 ปีที่แล้ว

      Sad to dampen any euphoria about physics going non-Euclidean. God created the world in His Image. It is not certain God accepts images other than the Euclidean.
      Chan Rasjid,
      Singapore.

  • @koenth2359
    @koenth2359 ปีที่แล้ว +5

    The 5th axiom as given at 7:16 would only hold in 2 dimensions. Later, at 44:41 it is represented in a better way, using the word *parallel,* which is also valid in general for Euclidian spaces of higher dimension.

  • @prarthananeema9774
    @prarthananeema9774 ปีที่แล้ว +1

    this is amazing i want more content on geometry

  • @mariavm9178
    @mariavm9178 ปีที่แล้ว +37

    What a phenomenal lecture! Thank you, Prof. Yang-Hui He and Ri. Looking forward to reading your books!

    • @lukschs1
      @lukschs1 ปีที่แล้ว

      En serio a esto le llaman lectura??

  • @muthukumaranl
    @muthukumaranl ปีที่แล้ว +7

    Thank you so much to Prof. Yang-Hui He and RI for this amazing lecture!

  • @andrewharrison8436
    @andrewharrison8436 ปีที่แล้ว +1

    That was erudite and entertaining.
    A very enjoyable and far ranging hour.

  • @paulrattray8121
    @paulrattray8121 ปีที่แล้ว +1

    Such a good lecture. So much of this I vaguely remember but could still follow.

  • @theccieguy
    @theccieguy 11 หลายเดือนก่อน

    Great Job

  • @armchairgravy8224
    @armchairgravy8224 ปีที่แล้ว +5

    Linear algebra somehow clicked for me in a way calculus did not. Seeing R3xR really helped. I feel so lucky to see RI lectures like this.

  • @tehdii
    @tehdii ปีที่แล้ว +4

    I salute him for making "A compact history of infinity" by David Foster Wallace and making it digestible and clear in a 60 min lecture... Bravo!

  • @richardfarland
    @richardfarland ปีที่แล้ว +1

    Disappointing. While he was a fair enough presenter (affable, passionate, engaged), the material he got through was lightweight and not enough of it. The script needed tightening. Compared to the PBS math presentations, it was a meandering narrative and limited in its ability to present genuine insights. Not an entirely fair comparison as live presentation is much harder to pull off than filmed, but still, this could have been a lot better.

  • @chyldstudios
    @chyldstudios ปีที่แล้ว

    Wonderful tour through the history of the authors of mathematics.

  • @primajump
    @primajump ปีที่แล้ว +5

    One of the most riveting experiences for me. Very interesting in deed! I am grateful that these talks are available for us. Thank you !

  • @VHenrik007
    @VHenrik007 ปีที่แล้ว

    Great lecture, thank you!

  • @s.c.r.e.a.m.forp.e.a.c.e.3541
    @s.c.r.e.a.m.forp.e.a.c.e.3541 ปีที่แล้ว

    Excellent lecture!

  • @hassannabil9792
    @hassannabil9792 ปีที่แล้ว

    Super lecture

  • @zack_120
    @zack_120 ปีที่แล้ว

    49:00 - Actually these right angles don't exist in the absolute sense since any lines of any length on thus surface are not straight but curved and therefore can't define an angle. So it is only relative in the practicle sense.

  • @bombyxmori3431
    @bombyxmori3431 ปีที่แล้ว

    this was so good

  • @edgarcastillo2804
    @edgarcastillo2804 ปีที่แล้ว

    Wow. This is so nice.

  • @ktiwari31
    @ktiwari31 ปีที่แล้ว +3

    I loved it! It’s one of the best lectures I have found in a long long time! Yong-Hui is amazing!

  • @tradetor
    @tradetor ปีที่แล้ว +3

    I believe most people going to a RI meeting did come to see a math proof 😂

  • @Syntax753
    @Syntax753 ปีที่แล้ว +4

    One of my favourite RI presentations - but biased as Euclid's Elements is one of the only books I own. Fantastic!

    • @5Andysalive
      @5Andysalive ปีที่แล้ว +2

      still waiting for the movie.

  • @KaliFissure
    @KaliFissure ปีที่แล้ว

    Q:. Why do we imagine the universe is spherical when we know that gravity curves space?
    Shouldn't we use a cardioid since it shows the full range of tangent angles?

  • @jonvalen440
    @jonvalen440 ปีที่แล้ว +7

    I was hoping I would see how geometry has influenced “modern” physics, such as how geometry shaped string theory or other frontiers in physics

    • @Huntski36
      @Huntski36 ปีที่แล้ว

      Ahhh, I'm glad I saw this

  • @otbricki
    @otbricki ปีที่แล้ว +8

    Superb presentation. Just one comment tho - Al Kwarizmi got some of his ideas on algebra and numbers from India. His most famous book is preserved only in a Latin translation, Algoritmi de numero Indorum (“Al-Khwārizmī Concerning the Hindu Art of Reckoning”)." It included the manual method of taking square roots that has been taught to school children for centuries. This is the first use of the word algorithm. Al Kwarizmi made other important contributions as well, including the most accurate trig tables available at the time.

  • @EzraTeter
    @EzraTeter 2 หลายเดือนก่อน

    Geometric Algebra is the study of multivectors, which form the basis for the complex and Hamiltonian number systems. That sure would be confusing if their were an Algebraic Geometry. As to "calculus", we can thank Newton who referred to the "calculus of infinitesimals."

  • @as-qh1qq
    @as-qh1qq ปีที่แล้ว +2

    34:10 At this point, it should be mentioned that new, nature inspired axioms have entered the picture, thus creating physics

  • @danielparsons2859
    @danielparsons2859 ปีที่แล้ว +2

    I absolutely loved this lecture. I struggle with being told what to do as opposed to what to think about which engages me.

  • @atulisrockin
    @atulisrockin ปีที่แล้ว +7

    This was a fantastic lecture, presenting some fairly complex ideas spanning centuries in a coherent and easily digestible narrative.

  • @Danny-hb1zb
    @Danny-hb1zb ปีที่แล้ว +4

    Love whenever Yang-Hui He does a presentation it’s always brilliant 👏🏻

  • @mrp8811
    @mrp8811 7 หลายเดือนก่อน

    every single royal institution presentation so far i could do. it should be debate

  • @amittiwari8
    @amittiwari8 ปีที่แล้ว +1

    if intresested u can go through bbc documentry of macus du soutoy.
    it will let you all know about eastern contribution to mathematics. to name a few u can learn about pingalacharya, lilavati,bhaskaracharya,suryasiddhantam,aryabhattiyam etc. and the famous ramanujan.

  • @mastershooter64
    @mastershooter64 ปีที่แล้ว +2

    This guy is awesome dude i watched his RI lecture on string theory

  • @rajendrapatodia
    @rajendrapatodia ปีที่แล้ว +1

    this was awesome. mesmerizing.

  • @staffanlantz3876
    @staffanlantz3876 ปีที่แล้ว

    20:45 Did the Oxford calculators investigate acceleration by Rolling a ball down a slope, hence a triangle?

  • @greebfewatani
    @greebfewatani ปีที่แล้ว +1

    Nice presentation but algebra is taken from algabr means completion not balancing

  • @photon434
    @photon434 ปีที่แล้ว +2

    You create an infectious excitement in all your lectures. Amazing!

  • @hugob8180
    @hugob8180 ปีที่แล้ว +1

    so good, but the end was rushed, too bad the talk could not be 15 min more lengthy to explore einstein's works

  • @wargreymon2024
    @wargreymon2024 ปีที่แล้ว +1

    It is a pleasure to go through everything in the presentation. Interesting and informative, the last bell ring is kinda mean.

  • @dougr.2398
    @dougr.2398 ปีที่แล้ว

    How could Archimedes have been omitted? Heiberg’s 1906 revelation of Codex B as a palimpsest showed that he (Archimedes) used calculus in a non-rigorous way to determine the volumes and surface areas of the sphere, cylinder and cone. Lost (maybe) until 1906, with the unknown exceptions of Codices A & C (also list at unknown dates).

  • @jjkholdi
    @jjkholdi 25 วันที่ผ่านมา

    This idea of dropping the 5th axiom came from Omar Khayyam. He did prove one after another Theorem but after a while he said: " Although they seem logical to me but it is somewhat agaist what it is in the heavens and earth. "
    His works were transported to Europe Lambert and Sacchari and then to aYoung Bolyia who C.F. Gauss rejected it saying i have discovered it before. After this Young Bolyia never did any mathematics. These are some facts i did discoveted when i was taking Non- Euclidean Geometry.
    On Kharazmi: the numerals we use is a perspectivity of Arabic Hidu numerals and he is the first to use decimal point as a slash, /, instead of a dot use nowadays.
    It is not true that Lobachevsky or Young Bolyia droped the 5th axiom out of the blue.
    This presentation was great though the West, in general, is biased somewhat to the History of the The East civilization.
    Please read the Book Empire of Mind that was published in late 2000 and starts with almost eveything was discovered in the Region East of China to South Europe from 11000 years ago with documentation.
    Thank you and best regards.

  • @uditkotnis7531
    @uditkotnis7531 ปีที่แล้ว +1

    Microfire Day😄

  • @mouse2078
    @mouse2078 ปีที่แล้ว

    The first proof is not a proof. For example, it uses the non-axiom that the opposite angles are equal. First you must prove this from the axioms. It is an outline of a proof that you must work hard to make into an actual proof.

  • @arpisz4983
    @arpisz4983 11 หลายเดือนก่อน

    Nice lecture but, 57:32 > "Einstein realized that the entirety of Newtonian physics needs to be abandoned". Really?
    Even space travel has been accomplished using Newtonian physics, and not Einstein's bizarre curved spacetime.
    But there is a new religion in town. It is called Relativism. Einstein is God, his theories are the Bible, and lecturers as in this video are the preachers.

  • @keep-ukraine-free
    @keep-ukraine-free 4 หลายเดือนก่อน

    Student to teacher: "I don't see any point in geometry. It seems infinitesimal, approaching the pointless. Maybe I've reached my Limits!"

  • @jamesraymond1158
    @jamesraymond1158 ปีที่แล้ว

    James Clerk Maxwell, not Clark, but you got the pronunciation right.

  • @crmycrmy9882
    @crmycrmy9882 ปีที่แล้ว

    Why did I even click on this all I ever got in geometry were Cs😢😮😂

  • @zahid1909
    @zahid1909 ปีที่แล้ว

    Without geometry, I would still remain as a piece of shapeless vacuum!!

  • @zimnesuhvezdie9027
    @zimnesuhvezdie9027 ปีที่แล้ว +1

    12:52

  • @SpotterVideo
    @SpotterVideo ปีที่แล้ว

    What if we describe subatomic particles as spatial curvature, instead of trying to describe General Relativity as being mediated by particles?
    Quantum Entangled Twisted Tubules: "A theory that you can't explain to a bartender is probably no damn good." Ernest Rutherford
    The following is meant to be a generalized framework for an extension of Kaluza-Klein Theory. Does it agree with the “Twistor Theory” of Roger Penrose? During the early history of mankind, the twisting of fibers was used to produce thread, and this thread was used to produce fabrics. The twist of the thread is locked up within these fabrics. Is matter made up of twisted 3D-4D structures which store spatial curvature that we describe as “particles"? Are the twist cycles the "quanta" of Quantum Mechanics?
    When we draw a sine wave on a blackboard, we are representing spatial curvature. Does a photon transfer spatial curvature from one location to another? Wrap a piece of wire around a pencil and it can produce a 3D coil of wire, much like a spring. When viewed from the side it can look like a two-dimensional sine wave. You could coil the wire with either a right-hand twist, or with a left-hand twist. Could Planck's Constant be proportional to the twist cycles. A photon with a higher frequency has more energy. ( E=hf, More spatial curvature as the frequency increases = more Energy ). What if gluons are actually made up of these twisted tubes which become entangled with other tubes to produce quarks. (In the same way twisted electrical extension cords can become entangled.) Therefore, the gluons are a part of the quarks. Quarks cannot exist without gluons, and vice-versa. Mesons are made up of two entangled tubes (Quarks/Gluons), while protons and neutrons would be made up of three entangled tubes. (Quarks/Gluons) The "Color Force" would be related to the XYZ coordinates (orientation) of entanglement. "Asymptotic Freedom", and "flux tubes" are logically based on this concept. The Dirac “belt trick” also reveals the concept of twist in the ½ spin of subatomic particles. If each twist cycle is proportional to h, we have identified the source of Quantum Mechanics as a consequence twist cycle geometry.
    Modern physicists say the Strong Force is mediated by a constant exchange of Mesons. The diagrams produced by some modern physicists actually represent the Strong Force like a spring connecting the two quarks. Asymptotic Freedom acts like real springs. Their drawing is actually more correct than their theory and matches perfectly to what I am saying in this model. You cannot separate the Gluons from the Quarks because they are a part of the same thing. The Quarks are the places where the Gluons are entangled with each other.
    Neutrinos would be made up of a twisted torus (like a twisted donut) within this model. Gravity is a result of a very small curvature imbalance within atoms. (This is why the force of gravity is so small.) Instead of attempting to explain matter as "particles", this concept attempts to explain matter more in the manner of our current understanding of the space-time curvature of gravity. If an electron has qualities of both a particle and a wave, it cannot be either one. It must be something else. Therefore, a "particle" is actually a structure which stores spatial curvature. Can an electron-positron pair (which are made up of opposite directions of twist) annihilate each other by unwinding into each other producing Gamma Ray photons?
    Does an electron travel through space like a threaded nut traveling down a threaded rod, with each twist cycle proportional to Planck’s Constant? Does it wind up on one end, while unwinding on the other end? Is this related to the Higgs field? Does this help explain the strange ½ spin of many subatomic particles? Does the 720 degree rotation of a 1/2 spin particle require at least one extra dimension?
    Alpha decay occurs when the two protons and two neutrons (which are bound together by entangled tubes), become un-entangled from the rest of the nucleons
    . Beta decay occurs when the tube of a down quark/gluon in a neutron becomes overtwisted and breaks producing a twisted torus (neutrino) and an up quark, and the ejected electron. The phenomenon of Supercoiling involving twist and writhe cycles may reveal how overtwisted quarks can produce these new particles. The conversion of twists into writhes, and vice-versa, is an interesting process.
    Gamma photons are produced when a tube unwinds producing electromagnetic waves.
    >>>>>>>>>>>>>>>>>>>>>>
    Within this model a black hole could represent a quantum of gravity, because it is one cycle of spatial gravitational curvature. Therefore, instead of a graviton being a subatomic particle it could be considered to be a black hole. The overall gravitational attraction would be caused by a very tiny curvature imbalance within atoms. We know there is an unequal distribution of electrical charge within each atom because the positive charge is concentrated within the nucleus, even though the overall electrical charge of the atom is balanced by equal positive and negative charge.
    >>>>>>>>>>>>>>>>>>>>>>
    In this model Alpha equals the compactification ratio within the twistor cone. 1/137
    1= Hypertubule diameter at 4D interface
    137= Cone’s larger end diameter at 3D interface where the photons are absorbed or emitted.
    The 4D twisted Hypertubule gets longer or shorter as twisting or untwisting occurs. (720 degrees per twist cycle.)
    >>>>>>>>>>>>>>>>>>>>>>>
    How many neutrinos are left over from the Big Bang? They have a small mass, but they could be very large in number. Could this help explain Dark Matter?

  • @1ofuswin
    @1ofuswin ปีที่แล้ว +2

    I think he got a couple things wrong but at least he tried

  • @mariyammapapabathiniratnam7862
    @mariyammapapabathiniratnam7862 11 หลายเดือนก่อน +1

    3:48

  • @2550205
    @2550205 ปีที่แล้ว

    at 1:01 would have put the words or to use the scientific lingo not to be surprised of the letters representing the ideas represented by the collection of ideas being represented by letters as the word Distance inside the red area another word worth wording about and then arranged along the diagonal not shown in the absence of explanation of what every geometrician can tell every
    entertainer looking to bring a few more eyebells into the you tube of youness
    there are a lot of hours of entertainment available here on you tube this adds more to the particles making up the wave as language likes to put this together after taking that apart

  • @keep-ukraine-free
    @keep-ukraine-free 4 หลายเดือนก่อน

    It's suggested, in life & in mathematics: When taking a _tangent,_ stick to the *_original point._*

  • @zelmoziggy
    @zelmoziggy 4 หลายเดือนก่อน

    Why is it that if the yellow angles and/or the blue angles are unequal, the lines must intersect?

  • @Frohicky1
    @Frohicky1 ปีที่แล้ว

    Why do most talks start with ancient authors? This is Ancient Aliens thinking.

  • @FreestyleSport101
    @FreestyleSport101 ปีที่แล้ว

    Little birdie told me that the artist discovered infinity not the mathematician?

  • @konradcomrade4845
    @konradcomrade4845 ปีที่แล้ว

    Calculating in Base 10 is hard enough, how could Babylonians endeavor to do it in Base 60. That is why their empire broke because they were staring too much and counting too intense the "sun-days" (and still they erred about 5.25 dys/yr) . I am going to try Base 12. Doing it in base 12 with new single-digit symbols and very regular one-syllable short words from 0 - 11 . It is building a nice numbers system (no Roman-derived quatrevingtdis!). Large numbers are grouped in 4 digits, readable from right to left and readable from left to right. Example: _dz stands for dozenSystem: 72_dec = 06*10_dz = 60_dz ; 180_dec = 130_dz ; 360_dec = 260_dz = 05_dz * 60_dz = 5_dec * 72_dec
    3*72_dec = 216_dec = 03*60_dz = 160_dz.
    But in the conventional notations of Exponents and the Log there is an inconvenient entanglement, it is twisted.

  • @iiitokyo
    @iiitokyo 10 หลายเดือนก่อน

    Great and Generous Insitute of the World! Great Lecturer!

  • @Neilhuny
    @Neilhuny ปีที่แล้ว +1

    What an inspiring lecture, very infectious enthusiasm

  • @Eztoez
    @Eztoez 5 หลายเดือนก่อน

    Why do people waste their time on string theory when it can never be proven ?

  • @pierorivera7162
    @pierorivera7162 ปีที่แล้ว +2

    Thanks

  • @baoboumusic
    @baoboumusic ปีที่แล้ว

    Aside from everything else, that was pretty darn impressive pronunciation of the Greek text.

  • @BabarizamDK
    @BabarizamDK ปีที่แล้ว

    He is an overexcited historian who is good at giving headache.

  • @synapticaxon9303
    @synapticaxon9303 ปีที่แล้ว

    I'm not sure which was more breathtaking, bringing up the Declaration of Independence at the Ri, or butchering the recitation of it. That was like the New International Version, not the King George III edition! ;]
    Well you know Benjamin Franklin would have been smirking that smirk of his. :))

  • @cinemaipswich4636
    @cinemaipswich4636 ปีที่แล้ว

    There is a simple concept, that: An infinite circle is a straight line! Think about it, that you are a god, and you live outside of the Universe. You draw a circle of INFINITE radius. Then you ZOOM into the arc of that circle. What do you observe? But how near or far should I zoom? It does not matter, for scale is infinite. What do you observe?
    A straight line.

  • @scottbussler4041
    @scottbussler4041 ปีที่แล้ว

    And then tragedy happens'...Ad starts playing

  • @minecraftsaurus5765
    @minecraftsaurus5765 ปีที่แล้ว

    Very interesting presentation. You missed crediting the Indians for some ideas on geometry (sine, cosine, pythogrean) and calculus (infinite series) that went to Arabs and then to Europeans. But credit does not matter. I am happy knowlege is not lost. (But who knows, new mathematics is still undiscovered, analog mathematics, quantum mathematics)

  • @jonvalen440
    @jonvalen440 ปีที่แล้ว

    Bummed to see that it is minute 44 and we have yet to talk about modern physics……this was more like “a history of geometry”. Even then, it would’ve been necessary to talk about algebra and physics as those were major turning points for geometry. Algebra for obvious reasons, and newton mechanics/calculus because it calculates areas of tons of shapes

  • @owlredshift
    @owlredshift ปีที่แล้ว

    Your new intro is not NEARLY as cool, but I understand.
    I however vote to bring back the NEON BUBBLES

  • @ronpaulrevered
    @ronpaulrevered ปีที่แล้ว

    I have many questions about epistemology. What is the epistemological standing of logic and geometry and math? Is empiricism the method for all claims of knowledge? What are the domains of logic, and empiricism and how do they coexist?

  • @MrChrisayre
    @MrChrisayre ปีที่แล้ว

    I hate to say it but... at some point in any mathematics lecture/talk, you will hear the words "Sorry, haha, I lied earlier, but the point is..."

  • @jamesraymond1158
    @jamesraymond1158 ปีที่แล้ว

    "Nicolai Ivanovich Lobachevsky was his name!" the wonderful Tom Lehrer song.

  • @HughChing
    @HughChing ปีที่แล้ว

    Hi Prof. He, Good talk. I had never missed a geometry problem in school and never had to take finals. The last problem I solved was Steiner-Lehman Theorem. But today, I realize that something is completely wrong, for which I invent The Obviousness Theory of Proof based on the 16 Methods of Reason, which says that Obviousness is different for different way of reason. Warmest regards, Hugh

  • @Saurabhmaths1999
    @Saurabhmaths1999 ปีที่แล้ว

    Love from India

  • @zholud
    @zholud ปีที่แล้ว

    So how exactly did you prove step 2 using axioms?

  • @ShredEngineerPhD
    @ShredEngineerPhD ปีที่แล้ว

    Love this guy

  • @moinmalik1320
    @moinmalik1320 ปีที่แล้ว

    A truly mesmerizing lecture.

  • @kevinhanley3023
    @kevinhanley3023 ปีที่แล้ว

    Over and over I heard that you must be able to derive the theorems from 5 axioms.
    Why?

  • @John-pp2jr
    @John-pp2jr ปีที่แล้ว

    27:15 Newton was not born in London.

  • @mrp8811
    @mrp8811 7 หลายเดือนก่อน

    anyone could do this.

  • @andywong2135
    @andywong2135 ปีที่แล้ว +1

    This lecture is so good !

  • @koenth2359
    @koenth2359 ปีที่แล้ว

    54:56 Maxwell's middle name is written 'Clerk' but pronounced as Clark.

  • @mahmoudbaraka987
    @mahmoudbaraka987 ปีที่แล้ว

    al-gabra means completion not balancing and al-mogabalah means balancing

  • @gregoryjones5936
    @gregoryjones5936 ปีที่แล้ว

    Shut up & take my money !!!

  • @joebloggs396
    @joebloggs396 ปีที่แล้ว

    I watched some of this and found him very jilted, so surprised there is so much praise.

  • @gregpope4652
    @gregpope4652 ปีที่แล้ว

    If you like it then you should’ve put a grid on it

  • @king12ka42
    @king12ka42 8 หลายเดือนก่อน

    Where's Tesla?

  • @Greg41982
    @Greg41982 ปีที่แล้ว

    This lecture was amazing. Enough said.

  • @tarekazzam389
    @tarekazzam389 ปีที่แล้ว

    Without Geometry, Algebra would have been monopolistically dominant. Ying/Yang - Balance or - Duality would have been disrupted and People's Brains too. Euclid, Carl Gauss, Lobachevski, George Bolyai, Bernhard Riemann, David Hilbert, Chen Chern, Shing Tung Yau, would have been either partly job-less or filling the Void of their Geometry - related Brain Areas & Geometry - related Neuronal Patterns & the Time that the Absence of Geometry would have created with some other Mathematical or Non - Mathematical Topic.