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    • To Infinity and Beyond

      1 Star2 Stars3 Stars4 Stars5 Stars (8 votes, average: 4.38 out of 5)
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      By our third year, most of us will have learned to count. Once we know how, it seems as if there would be nothing to stop us counting forever. But, while infinity might seem like a perfectly innocent idea, keep counting and you enter a paradoxical world where nothing is as it seems.

      Mathematicians have discovered there are infinitely many infinities, each one infinitely bigger than the last. And if the universe goes on forever, the consequences are even more bizarre. In an infinite universe, there are infinitely many copies of the Earth and infinitely many copies of you. Older than time, bigger than the universe and stranger than fiction. This documentary is the story of infinity.

      please share:
      Published on February 21, 2010 · Filed under: Science, Technology

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    • alex apostolidis

      how about there is no sat sh a thing like Infinity in numbers but there is one for other things.. like time , space and the universe.

      sure we can count + 1 Al the time but then there are only so many atoms around.

      just my view.. not that I'm a mathematician…

    • Phatz

      this is babble

    • akhmadh

      One of the best documentaries. infinity can never be defined definitely. Wow

    • AdamTM

      Yes please, mention faith and science in the first 3 minutes of your show, so religious nuts can quote-mine it!

      It really makes my life easier!

    • Tiago C.

      Our minds will never be able to fully grasp this concept.

    • The Tay

      haha, and yet you are the first to bring it up, Adam. shhh. they might not notice.

    • m

      Keep the math docs. comin'! Thanks

    • jozsi

      infinity is a shape. we can only explain/ examine a fraction of it with math and see it fall apart if we attempt to view it through numbers. infinity is one of our senses in our brains. stimulating the mind with thoughts about it gives us joy and foolish answers.

    • alex cooper

      interesting how we can never comprehend how we arn't the middle of everything. We, the human race have always had a problem, and every single time we are proved wrong. even with unsure infinity ideas, we are never the center, just a peice of the puzzle trying to see the rest of it.

    • B.o.K

      Remember that mathematician of the video 3-6 around 5 minutes says there is no room for infinite numbers.. and that once you reach the highest number and do +1 you go back in numbers until you reach 0, and then it goes back up again.
      doesnt that creates another kind of Infinity?
      like counting those loops? and then counting the loops of those counted loops and etc?

    • Jay-r Strong

      my problems suddenly seem like nothing, just like me!!! LOL

    • Permafrost

      Think about it, if the infinite universe exist (and i think so), our imagination is the best window to have a look of some part of this infinity. Meaby our dreams is the natural link between us and it.

    • Bahez

      Why is there an annoying pedofile in black-and-white with reverb in his voice? To make the doc. scarier?

    • Oue

      The infinity has no limit,
      but our brain does.

    • Imaginary Fiend

      Another big thanx, Tim. This subject is a long time obsession of mine. It's tuff trying to explain the significance or implications of our conceptions of infinity. This will help some.
      The key i try to get across is that actual infinity is the default, only reasonable, conceptual model for reality that works. It comes down to the old necessity of the infintie regress agrgument… again and again. Every time we've created finite models of reality we've found our limitted conceptions to be only a part of something greater. It's simple, i think, in that as there is something rather than nothing, and only nothing can come of nothing, then reality is infinity – nothing less.

    • jozsi

      i think the human mind has to get around the fact that, in fact, from nothing there could be something created – from nothing there is something. as an example – quantum entanglement. or even just the simple thought about information. where is information? if i tell you that there is a red coat in my closet. where is that information? is it in my head? your head? in the closet? is it created and stored in the neurons of your brain? by sharing that information i duplicated. can i dupilated it forever?

      reality can't be infinite because you can not take (have) something finite from an infinite set.

      our math has gotten it all wrong. to the question – what is the biggest number? i think that number is 1. 2 is just two 1s, 3 is just three 1s and so on and so on.

    • Welsh Wizard

      I find it annoying that they'd get something very basic so wrong in this documentary: just because a universe is infinite, it doesn't mean that anything with a probability of occurring will occur. For example, you can flip a coin 10 times and never get heads, therefore even if you flip the coin an infinite number of times there is still no certainty of getting heads.

    • Alex

      If you added more literature to that computer program that was genrating shakespear I wonder how that would impact the results?

    • Imaginary Fiend

      Those are good philosophical perspectives to consider on this, jozsi. Some religionists will claim a rationale encorporating something from nothing as a presuppositionalist position. I've come across it advocated by apologists from positions as diverse as brilliant Torah scholars to simplistic fundamentalist Calvinists and Muslims. (No, i'm not saying all C's or M's are such) Basically though, there isn't a logical, consistent way for there to be anything that could independently become existent ex nihilo. Even the examples you cite, quantum entanglement and conceptions are manifestations of physical antecedents. We come to measurement problems trying to account for entanglement, but gain nothing of explanation value theorizing that the "spooky action at a distance" is magical just because we do not yet have a satisfactory understanding of it. Something conceived is the (soomewhat) nontangiable product of the physical workings our physical minds just as running computer simulaiton is a similarly somewaht nontangeable product of a series of algorythms run on computer hardware.
      Either there is something or tere is nothing. We accept that there is something, for obvious reasons, and find that therefore there can never have been nothing. Even our t/s continuum has to have originated from someting antecedent and within a greater context. There's no getting around infinite regress, and infinite regress necessarily implies infinity.

    • Imaginary Fiend

      I'm reluctantly forced to sort of agree with you WW. Literally, there isn't an absolute certainty of anything except that there cannot be absolutely nothing. Probablility, (what we infer from statistical, quantifiable or even generalized observation) is hard to ignore. Things do happen, and they happen with all known observation and experiance in concordance with probability. Anything that happens is an extremely unlikely occurance, but it happens. Of all the extremely unlikely things that can happen, some will and many more won't. With enough chances the million to one shot is a statistical certainty, even if not an absolute certainty. With a little consideration of the implicaitons of reality as infinite and the application of a little anthropic reasoning, we find that there is enough room for enough chances to occur somewhere, sometime, inevitably. Infinity, as in reality unlimitted, ensures that there isn't any possibility for something to not occur somewhere, someplace, if it is even remotely possible for it to occur.
      Personally, i find this extremely troubling and i'm very resistant and unwilling to accept that this is necessarily the case, but there doesn't seem to be a logical way for it not to be.
      As for the proverbial demonstration coin, if given a milliion tosses, it will have a statistical certainty of coming up heads, but not an absolute certainty. Flipped infinitely (and i don't say flipped an infintie "number" of times) it cannot not sometimes be heads.

    • Jason E

      Welsh, I agree that an infinite universe does not make the probability of any event 1/1, but if there is an infinite amount of time (or universes), the probability would approach 100%. I can't remember if they mentioned this, or said it explicitly, but I'm certain that know this and most likely omitted it since the doc was for a general audience.

      I really love these math docs. I don't think I'll take any more math than is necessary to finish my econ degree, but there are still a lot of interesting ideas in math that a lot of people don't get to hear about because all the calculations scare them off.

    • bob

      where are the rest of the series?

    • Eric Howe

      Those of you that are scrambling for more math docs should check out Dimensions:

      http://www.dimensions-math.org/Dim_reg_E.htm

    • malak

      VERRY interesting………hmm im thinking to myself if they are multiple universes …how am i doing in a different universe:)?

    • VERY WILD

      The show must go on. Infinitely. Graham ‘s number thats a new one for me very cool. Makes me want to get better at math.

    • L

      Well, that made me feel stupid … ;)

    • ludwig

      true that bro….these guys use word games to create problems that don’t exist…the paradox can only be solved by a paradox….the math problem, isn’t a real problem.

      good job

    • Imaginary Fiend

      Thanks, Eric. Great link. Like most people, i’ve always had a tuff time conceptualizing greater dimensions. The graphics were mind dazzling… and actually helped me to understand multi-dimensions… sort of.
      thanks

    • Anon

      How can the universe be expanding and infinite at the same time?

    • marwa

      yawn

    • Revenge Of The Pith

      Knock Knock…Who’s There ?… Infinity

      • Documentary-Log.com

        Infinity knock-knock jokes! Love them.
        Here’s another:

        knock, knock, knock, knock, ,knock………………………forever.