On Mon, Jan 28, 2013 at 01:22:22PM -0800, meekerdb wrote: > > The idea that there are infinitely many universe (or an infinitely > big one) and therefore everything must be repeated infinitely many > times is incoherent. If there's a copy of this universe, then it > *IS* this universe by Leibniz's identity of indiscernibles. > Similarly, if this universe is infinitely large it must have > infinitely many different possible states - otherwise it would start > repeating somewhere and, as I remarked above, a repeat is just the > same thing double counted. So what makes sense is to say the > universe (whether conceived as spacetime or as a Hilbert space) is > unbounded, it can always get bigger and have more states - which > seems to be supported by the expansion of the universe. > > Brent >
Or the flipside is that a universe with finite number of states must be bounded in space and time. What I wonder is the case where the universe has a countably infinite number of states? Cheers -- ---------------------------------------------------------------------------- Prof Russell Standish Phone 0425 253119 (mobile) Principal, High Performance Coders Visiting Professor of Mathematics [email protected] University of New South Wales http://www.hpcoders.com.au ---------------------------------------------------------------------------- -- 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 post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/everything-list?hl=en. For more options, visit https://groups.google.com/groups/opt_out.
