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?



Prof Russell Standish                  Phone 0425 253119 (mobile)
Principal, High Performance Coders
Visiting Professor of Mathematics      hpco...@hpcoders.com.au
University of New South Wales          http://www.hpcoders.com.au

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