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Mark_Friedenbach comments on Open thread, Mar. 23 - Mar. 31, 2015 - Less Wrong Discussion
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Question on infinities
If the universe is finite then I am stuck with some arbitrary number of elementary particles. I don't like the arbitrariness of it. So I think - if the universe was infinite it doesn't have this problem. But then I remember there are countable and uncountable infinities. If I remember correctly you can take the power set of an infinite set and get a set with larger cardinality. So will I be stuck in some arbitrary cardinality? Are the number of cardinality countable? If so could an infinite universe of countably infinite cardinality solve my arbitrary problem?
edit: carnality -> cardinality (thanks g_peppers people searching for "infinite carnality" would be disappointed with this post)
Thanks to accelerating expansion of the universe, the reachable universe / the parts of the universe which intersects our future light cone is definitely finite.