RE: Existence and Infinity (Warning: major rambling)
September 1, 2012 at 8:52 am
(This post was last modified: September 1, 2012 at 9:00 am by Napoléon.)
(August 31, 2012 at 11:25 pm)Categories+Sheaves Wrote: If I hash out an explanation of Cantor's diagonalization argument in that thread jonb made, and then start walking through the classic paradoxes of naive set theory (about infinite stuff: Russell's, Cantor's) would you give it a serious read?
If it will address some of the questions I raised in the OP then certainly

(September 1, 2012 at 1:03 am)cratehorus Wrote: Instead of asking whether time is infinite ask whether you can step outside of time. You're not taking into account the existence of multiple dimensions.
Actually I am, I tried to get across that point. If multiple dimensions exist, then they would come under the definition of existence I have been talking about.
Quote:I don't remeber who invented this, but there's a theory that, basically states that inside every atom is for lack of better word "multiple universes".
And there's a theory that states we live in a universe full of multiverses. This is my question, regardless of how far the scale regresses, whether you think we are a universe inside another universe, whatever, it doesn't really matter about the specifics, the question I'm pondering is whether that existence goes on forever, or is there a point where there are no other universes, there's a seeming end to existence.
Quote: I also beleive the word "Universe" comes from religion particularily monotheistic faiths. So chances are the multi-verse theory is more closer to reality than the idea of a singular universe. Some say there's no such thing as a "universe" that it's just a mental construct created by religion in a simple attempt to explain reality
Yeah I agree in that it seems far more likely to me that there are multiverses instead of just this one universe we live in. But it doesn't really get you any closer to answering the question of whether existence is infinite or not. Or does it?
Coming back to your mention of dimensions, how do you differentiate between one dimension and the next. To me, if they exist then they exist. If there are an infinite amount of dimensions then existence is infinite.