- #1
dkotschessaa
- 1,060
- 783
I should start a new thread for my questions rather than hijack others...
Posted this on another thread but it didn't get any response, so bear with me if you've seen it. Has anybody looked into Cantor's works on infinity and seen how they relate to the question of an infinite universe?
In short, and crudely stated, Cantor proved that there wasn't just one "infinity" but different degrees of infinity, i.e. the set of all real numbers is larger than the set of natural numbers, though both are infinite. Does this have any bearing on cosmological questions of an infinite universe and on singularities? I know a guy who claims it does, but he's not a mathematician or physicist and mostly just some whack job, but I think it's an interesting question. (his claim is that infinity can't exist because Cantor said it can't. I don't think that was Cantor's conclusion).
-DaveK
Posted this on another thread but it didn't get any response, so bear with me if you've seen it. Has anybody looked into Cantor's works on infinity and seen how they relate to the question of an infinite universe?
In short, and crudely stated, Cantor proved that there wasn't just one "infinity" but different degrees of infinity, i.e. the set of all real numbers is larger than the set of natural numbers, though both are infinite. Does this have any bearing on cosmological questions of an infinite universe and on singularities? I know a guy who claims it does, but he's not a mathematician or physicist and mostly just some whack job, but I think it's an interesting question. (his claim is that infinity can't exist because Cantor said it can't. I don't think that was Cantor's conclusion).
-DaveK