Infinity: The Science of Endless

  • Published on: 16 January 2014
  • "The infinite! No other question has ever moved so profoundly the spirit of man," said David Hilbert, one of the most influential mathematicians of the 19th century. A subject extensively studied by philosophers, mathematicians, and more recently, physicists and cosmologists, infinity still stands as an enigma of the intellectual world. Thinkers clash over questions such as: Does infinity exist? Can it be found in the physical world? What types of infinity are there? Through an interdisciplinary discussion with some of the world's leading thinkers, this program will delve into the many facets of infinity and address some of the deepest questions and controversies that mention of the infinite continues to inspire.

    This program is part of the Big Ideas Series, made possible with support from the John Templeton Foundation.

    The World Science Festival gathers great minds in science and the arts to produce live and digital content that allows a broad general audience to engage with scientific discoveries. Our mission is to cultivate a general public informed by science, inspired by its wonder, convinced of its value, and prepared to engage with its implications for the future.

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    Original Program Date: May 31, 2013
    MODERATOR: Keith Devlin
    PARTICIPANTS: Raphael Bousso, Philip Clayton, Steven Strogatz, W. Hugh Woodin

    What is Infinity? 00:04

    Philip Clayton and the history of Infinity? 2:34

    Philosopher Mahavira's role in infinity. 7:22

    Steven Strogatz and the mathematics of infinity. 14:16

    Hilbert's infinite hotel 18:04

    What is Cantor's diagonal proof? 25:05

    Continuum hypothesis and what it means to infinity. 28:16

    Hugh Woodin and solving the Continuum hypothesis 29:44

    Raphael Bousso on infinity and its role in physics. 37:20

    Using infinity to make accurate predictions. 47:35

    Infinity: Mathematics, Physics and Philosophy. 53:04

    Mathematical equivalence of full sentences. 57:10

    What is infinity only works as a mental concept? 1:06:30

    Final thoughts on infinity? 1:14:20
  • Runtime : 1:23:57
  • Infinity The Science of Endless what is Infinity Mathematics science of infinity Raphael Bousso Philip Clayton Steven Strogatz Hugh Woodin Keith Devlin New York City NYC world science festival full program World Science Festival 2013 Big Ideas Series


  • World Science Festival

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    MGTOW TRUTH   2 days ago

    FOOLS! lol love this! People considered SIMPLETONS can understand the nature of life more than these idiots ALL TALK lol DEVILS!

  • Joe Halldorson
    Joe Halldorson   3 days ago

    Strogatz fails math infinity is endless so it cannot have a vague so comparing i s invalid.

  • Prava 0
    Prava 0   4 days ago

    Infinity means there's no start and no end or start and end are both same

  • [ CMV ] America
    [ CMV ] America   5 days ago

    Infinity, like eternity, is a concept, but can never exist by definition.

  • [ CMV ] America
    [ CMV ] America   5 days ago

    There are only two things that are infinite; the universe, and human folly; and I’m not sure about the universe.

  • [ CMV ] America
    [ CMV ] America   5 days ago

    The beginning is the end and the end is the beginning.

  • [ CMV ] America
    [ CMV ] America   5 days ago

    Like God; can’t prove it is true, can’t prove it is false.

  • [ CMV ] America
    [ CMV ] America   5 days ago

    If there is something that is infinite; you will never know; because, you can never prove that there is not an end.

  • Michael Lee
    Michael Lee   5 days ago

    I had a near death experience in a baseball game at 14 years old. I remember getting hit in my eye socket by the baseball 80mph app. and there was just pitch black. Completely aware of absolutely everything that had transpired in my life at that point. I was instantly fearful of knowing im dead and this must be eternity. Just dark loneliness for an infinite amount of time was absolutely horrifying to say the least. All the sudden I could see a faint star in the distance. And at the speed of light it shot to me and was mere feet away at this point at it was the most bright, colorful, electrically vibrating and loving creature that exuded amounts of ecstasy that a human in the flash could never comprehend. He was covered in billions of what I can only describe as diamonds. As my father (God) picked me up like a baby and held me. He telepathically conveyed one main idea and it was at that instance. I was absolutely sure that his love for me was miles ahead of everything else in the universe. His love for me was so powerful that I almost could not take it. It was colorful beams of light and electricity that vibrated my entire being. Which confirmed to me why the Bible tells us he does not show himself to us in the flesh. Its too powerful of a love and it would kill us instantly. His love is an all consuming of what I can only describe as an electrical type fire that pulsates through everything. And again I found out later it was exactly as the Bible had describe. It is really frustrating to me that I cant describe to you how much God loves each and every one of us. Our language is extremely limiting in the aspect of description as far as his love for us and what he showed me. He gave me a mission before he left me and part of it was revealing to you what I witnessed and its important for you to understand that he cherishes the times when you stop in your day and just tell him how much you love him. Thats all he wants is your life and he is no different than a human when it comes to this. He created us to show and receive love and this is really overlooked a lot of times. Please if you are not taking time to talk to God. To really think about it and draw near to him because when you leave this world and he shows his love towards you physically. You will understand everything and why and regret every second you weren’t telling him how much you love and adore such an awesome God. I love all of you!!!!

    GOBSTOPPA   5 days ago

    its NOT expanding"" silly man, its only streatching as space is finite, and its only streatchingwithin certain paramiters, or areas, SPACE IS JUST THE SEA OF UNIVERSES, ALL IDEAS ARE OUT THERE, BUT ALL THE ANSWERS ARE HERE UNDER YA NOSES""! scientists always take forever to prove what has been common knoledge for centuries, so you,l get there," it just ya so bloody long.

  • Hernan Hernandez
    Hernan Hernandez   6 days ago

    Do we need a new “numerical” system to measure and to make new or replace our theories?

  • Mintu Saren
    Mintu Saren   6 days ago

    Ami janina purba purush ke.Etao janina amar bhabiyat ke.Kotha bolte bhalo lage.

  • Anchal Jain
    Anchal Jain   6 days ago

    Love it, my first time, first day exploring in this topic. this video made everything so simple and clear to understand

  • Opa Mando
    Opa Mando   1 weeks ago

    Was good until the dude would not shut up about god. No place in a science discussion for your fairytales.

  • omegapointil
    omegapointil   1 weeks ago

    Infinity is how large Trump and his followers' stupidity is.

  • John Wootton
    John Wootton   1 weeks ago

    You can grasp infinity like this. Take a number line with negative numbers at one end and positive numbers on the other end with zero at the center. You can go either direction and it just keeps going and going. It never ends because the is always one number of greater value to ad onto the last number written isn’t there. It’s infinity

  • Jeffrey Paasch
    Jeffrey Paasch   1 weeks ago

    Now you're getting close to my wavelength. But the farther you look out into the universe, the more you will find, the more you will question. AND The farther you look deep into the atom, the more you will find, the more you will question. When will you ever SETTLE for Who Gives A Fuck?

  • Steve Deasy
    Steve Deasy   1 weeks ago

    Poor production values are distracting to the rich content.Infinities: Evidence our existence is a small island of order.

  • William Ghost
    William Ghost   1 weeks ago

    Isn't attempting to talk about infinity... kind of like trying to actually describe invisibility?... you can define invisibility, but in order to describe it it has to be associated with something that was, at one point, visible like a refrigerator... but since there is currently no way to make a solid object invisible without destroying it, does invisibility actually exist? Therefore, if humans can't experience eternity... how can we define it or even mentally constrain it to something we can comprehend or quantify? Infinity is a human constructed concept of something incomprehensible... is infinity the same as timelessness?

  • SAJP
    SAJP   1 weeks ago

    Ah crap. Here we go with the “god” garbage.

  • Curt Coller
    Curt Coller   1 weeks ago

    ... therefore you cannot "count" infinities or "it would take an infinite amount of time to count them". Hilbert's Hotel method is complete nonsense. And Cantor's example to show infinity by taking half of the remaining distance and then half of that distance is no proof or disprove either. Because you can neither prove nor disprove the existence of infinity. Why? Because it's infinite. So if you want happy customers, you don't move an infinite number of them into the next room to put the new one in room 1. That would would make an infinite number of hotel guests very angry. Imagine you do that every time a new guest arrives! And you can't put the new guest at the end of the list, because there is no end, remember? Ergo... Cantor circumvents this problem by creating a paradox: If you need room 1 empty, shifting the rest one room up is the same as putting the new guest in the (not existing) N+1 room. There is no N+1 room!The same paradox as 1/0 is "not defined you idiot". Well, i'm not the idiot here, my math teacher was. 1/0 equals infinity, but math teachers can't "operate" with infinity, even if they try like Cantor or Gödel. We could simply say: We are not allowed to know, so why bother.

  • xx7secondsxx
    xx7secondsxx   2 weeks ago

    1:03:00That's what I was talking about!!!The "uncertainty principle" in quantum mechanics can lead to infinites. Once we have the full set intervals in the universe, we can conclude a full observation and finally provide a GUT!

  • xx7secondsxx
    xx7secondsxx   2 weeks ago

    From reading lots of Hawking.... the biggest block in science that hits things (seems like Infinity) but is actually the "Uncertainty principle"Were going to see how correct he was with sooooooo much when the James Webb telescope is operational!I truly cant wait! When we finally are able to detect primordial black holes!

    GOBSTOPPA   2 weeks ago

    nature has far more answers than any infinate amount of questions. M.B. 1972.

  • Humblegrenade
    Humblegrenade   2 weeks ago

    There are no infinities in finite nature, and that’s why measurements and mathematical equations can be applied to circumscribed boundaries of the finite universe

  • Curt Coller
    Curt Coller   2 weeks ago

    Zeno's paradox was later "stolen" by Cantor, who is completely wrong and such led to a dismissal of infinity in general! Replaced by different "forms of infinity". Why? Just because we cannot imagine something does not mean it does not exist. If you watch quantum physics closely, you will notice we are getting slowly to the point, yet we don't understand why. God means infinity, but we don't see him, so we "pray" to him/her or whatever it is. But think of it that way: Infinity would mean everything must be infinite in the big picture, and that includes humans as well. There is no need to pray for an infinite life after death - it happens or it does not. We will never know. If it does not happen, not even the dead will know. If it does happen, they won't be able to tell us, I guess. The greatest conjecture ever made by mankind is God. It's made on insufficient evidence and - following our own rules of justice - we must therefore dismiss the case.

  • NPC 123
    NPC 123   2 weeks ago

    Why is philosophical mumbo jumbo being hailed as the awesomeness of science? 🤣 Perhaps I should go past the 8-minute mark before I make an assertion... NAAAH. This is the internet.

  • Richard Nelson
    Richard Nelson   2 weeks ago

    People don't understand infinity at all. Infinity doesn't exist. Let me give you an example. If you were told that there is a road you can drive on that never ends, most people would say it goes into infinity. That's the same thing as saying you could NEVER reach the end of this road. The road ITSELF doesn't have to be endlessly long. Now imagine that for every inch or mile you drove, that was added to the end of this road. You could NEVER reach the end of it. In effect you would believe it is infinitely long when it fact it was actually FINITE. It's just like the saying "moving the goal post". Infinity itself does not exist and most likely cannot. Another one would be numbers. There is no such thing as an infinitely large number. The act of adding 1 to it makes it into a different number and you are no longer talking about the same number,, but until you add that one to it , it actually is the largest number. All numbers are FINITE , and cannot be another number. By adding 1 to it, it creates a new number but it's identify cannot change. Therefore there is no such thing as an infinitely large number, because by saying this that number would have to represent all other numbers and that is not possible