Is isomorphism or a one-to-one correspondence a mathematical concept or 
a metamathematical (or metaphysical? another complication in the 
discussion) concept?  I take them as mathematical concepts, so that 
speculating about isomorphisms of things like the multiverse is in 
itself assuming that the multiverse is mathematical.  I don't think we 
can use the one-to-one correspondence when it comes to metamathematical 
questions like the multiverse (or philosophy of everything), but this 
is simply because I assume that the multiverse (or "everything") is 
metamathematical.

Tom

-----Original Message-----
From: Quentin Anciaux <[EMAIL PROTECTED]>
To: everything-list@googlegroups.com
Sent: Thu, 16 Mar 2006 22:05:17 +0100
Subject: Re: Numbers

Le Jeudi 16 Mars 2006 21:27, [EMAIL PROTECTED] a écrit :
> Quentin Anciaux wrote:
> > What properties of the multiverse would render only one mathematical
> > object real and others abstract...
>
> A non-mathematical property. Hence mathematics alone is not sufficient
> to explain
> the world. QED.

Hmmm... okay, so last questions what is an abstract thing ? what does 
it means
to be abstract ? what render a thing real ? what does it means for it 
to be
real ? what does it means to be real ?

An answer like to be real means to exist or to be instantiated in the 
reality
is not an answer.

Quentin

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