Nothing vs. Infinity



11112013, 02:47 AM
(This post was last modified: 11112013 02:51 AM by EvolutionKills.)




RE: Nothing vs. Infinity
(08112013 07:52 PM)evenheathen Wrote:(08112013 07:47 PM)cjlr Wrote: I suppose it wouldn't help to point out that there are different sizes of infinity? An infinite set of prime numbers is smaller than an infinite set of odd numbers, which in turn would be smaller than an infinite set of whole numbers, which would be smaller than an infinite set of decimals, etc... 

11112013, 03:19 AM




RE: Nothing vs. Infinity
(11112013 02:47 AM)EvolutionKills Wrote:(08112013 07:52 PM)evenheathen Wrote: Dah fuq? Really? I don't understand how an infinite set of anything could be smaller than an infinite set of anything else. If they both go on forever then how could one be smaller or bigger than the other? 

11112013, 04:32 AM




RE: Nothing vs. Infinity
(11112013 03:19 AM)LostandInsecure Wrote:(11112013 02:47 AM)EvolutionKills Wrote: An infinite set of prime numbers is smaller than an infinite set of odd numbers, which in turn would be smaller than an infinite set of whole numbers, which would be smaller than an infinite set of decimals, etc... Firstly, EK doesn't know WTF he's talking about. Secondly, I tend to think of mathematical infinities as kinda like being volume. Is a sphere "bigger" than a circle? 

11112013, 04:40 AM




RE: Nothing vs. Infinity
<.<
My brain hurts now. 

11112013, 05:20 AM




RE: Nothing vs. Infinity
(11112013 02:47 AM)EvolutionKills Wrote:(08112013 07:52 PM)evenheathen Wrote: Dah fuq? Really? Sorry, EK, the set of prime numbers and the set of odd numbers are the same size; both are countably infinite  Aleph null in cardinality. Skepticism is not a position; it is an approach to claims. Science is not a subject, but a method. 

11112013, 05:25 AM




RE: Nothing vs. Infinity
(11112013 03:19 AM)LostandInsecure Wrote:(11112013 02:47 AM)EvolutionKills Wrote: An infinite set of prime numbers is smaller than an infinite set of odd numbers, which in turn would be smaller than an infinite set of whole numbers, which would be smaller than an infinite set of decimals, etc... Not to lose you or make you insecure, there are infinitely many sizes of infinities. This is true in mathematics and is usually mindbending when first encountered. There may be no infinities at all in reality. Start here. Skepticism is not a position; it is an approach to claims. Science is not a subject, but a method. 

2 users Like Chas's post 
11112013, 06:01 AM




RE: Nothing vs. Infinity
(11112013 05:25 AM)Chas Wrote: Not to lose you or make you insecure, there are infinitely many sizes of infinities.Numberphile explains this concept really well in the following video. 



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