Lord-Taco-the-Great Posted August 17, 2015 Share Posted August 17, 2015 Link to comment Share on other sites More sharing options...
TheErebus. Posted August 17, 2015 Share Posted August 17, 2015 I paused at the wrong time: Link to comment Share on other sites More sharing options...
Tymerc Posted August 17, 2015 Share Posted August 17, 2015 Oh look, this forum is exactly the same as I remember it from months ago. Link to comment Share on other sites More sharing options...
AM-Bunny Posted August 17, 2015 Share Posted August 17, 2015 Didn't watch the whole thing, but he lost me at the 'countable infinite'... counting whole numbers is just as impossible as counting real numbers. He uses that diagonal argument to say that there will still be real numbers to count even after going through all infinite whole numbers, but how could you ever go through all infinite whole numbers? It's just as infinite. Link to comment Share on other sites More sharing options...
Regenerating_Degenerate Posted August 17, 2015 Share Posted August 17, 2015 (edited) Watch it again when you are not high as a kite and see if its just as mind blowing, because i'm very high right now and i can see my mind all over my room. Pots a hell of a herb... Edited August 17, 2015 by Navec Link to comment Share on other sites More sharing options...
d3me Posted August 17, 2015 Share Posted August 17, 2015 Oh, I love mathematical paradoxes! Thanks for making my morning pleasant! Link to comment Share on other sites More sharing options...
Eredoc Posted August 17, 2015 Share Posted August 17, 2015 Didn't watch the whole thing, but he lost me at the 'countable infinite'... counting whole numbers is just as impossible as counting real numbers. He uses that diagonal argument to say that there will still be real numbers to count even after going through all infinite whole numbers, but how could you ever go through all infinite whole numbers? It's just as infinite. It's essentially a thought experiment as the idea of infinity is just that, an idea, Rather than saying "Let's count all of the numbers" it is more so saying "Let's Imagine we could count all of the numbers" to which, if there are infinite numbers then this is impossible and the example just shows that. As For the term countable infinity, it basically means all countable numbers, so 1 through 10 are a part of the countable infinity group as they can be made into a list easily, then you have the uncountable group which contains irrational numbers like π or the square root of 2. Does that clear it up? Link to comment Share on other sites More sharing options...
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