Quentin Anciaux wrote:
> Le Jeudi 23 Mars 2006 22:39, 1Z a écrit :
> > [EMAIL PROTECTED] wrote:
> > > He has proven beyond doubt, using Godellian arguments, that some numbers
> > > or intrinsically random .ie. that there is NO formulaic prescription that
> > > will reach that number from any starting point.
> >
> > If Mathematical Platonism is true, they exist anyway !
> >
> > What is not clear is why equations are important. Phsyics uses them,
> > but
> > physics is based on the idea that some logivally possible laws are
> > real and others aren't, not on the idea that everymathemtical object
> > is equally real.
>
> I disagree, physics is based on the idea that the world we *perceive* is
> predictable/understandable. As you are *not* in every mathematical object,
> you can't perceive more than the world you are embedded into.

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That would follow if "word" is taken in a physical sense, but it
far from clear that it would still be the case mathematically.
If the set {1,2,3,4}
exists platonically, and the set
{1023,1024,1025,1026}
all the intersections and unions thereof exist, e.g. the set
(1,2,1023,1024}
exists (for all that it doesn't seem particularly intuitive).
Likewise if
{<mathematical description of me>, <mathematical description of my
world>}
exists, and the set,
{<mathematical description of Harry Potter>, <mathematical description
of Harry Potter's world>}
exists, then the set
{<mathematical description of me>, <mathematical description of Harry
Potter's world>}
exists.
>That doesn't
> mean other "laws" could not rule other "parallel" universes.
We've been here before: if there is a law that parallel universes do
not overlap,
that is itself only one mathematical possibility, and there must be
other regions
of the Mathematical Multiverse where it doesn't apply.
> Quentin
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