On Monday, September 16, 2024 at 3:05:27 PM UTC-6 John Clark wrote:
On Mon, Sep 16, 2024 at 4:51 PM Alan Grayson <[email protected]> wrote: > *an infinite universe cannot expand* *NO! In an infinite universe the distance between every particle in it and every other particle in it can still increase indefinitely.* And your proof is what? AG * If a set is infinitely large then there is a proper subset of that set that can be put into a one to one correspondence with the entire set, in fact that is the mathematical definition of "infinity".* That's probably wrong. The real numbers cannot be put in a 1-1 correspondence with a proper subset of itself. For example, how would you map the open set (0, 1), 1-1 onto the real numbers even though they have the same cardinality? AG d -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/35d5607c-a9b5-48f9-a4e8-d2096f8c4824n%40googlegroups.com.
