Le 26-nov.-07, à 04:17, [EMAIL PROTECTED] a écrit :

> On Nov 23, 8:49 pm, Torgny Tholerus <[EMAIL PROTECTED]> wrote:
>>> As far as I tell tell, all of physics is ultimately
>>> geometry.  But as we've pointed out on this list many times, a theory
>>> of physics is *not* a theory of everything, since it makes the
>>> (probably false) assumption that everything is reducible to physical
>>> substances and properties.
>> I think that everything is reducible to physical substances and
>> properties.  And I think that all of physics is reducible to pure
>> mathematics...
> You can't have it both ways.  If physics was reducible to pure
> mathematics, then physics could not be the 'ontological base level' of
> reality and hence everything could not be expressed solely in terms of
> physical substance and properties.

Are you not begging a bit the question here?

> Besides which, mathematics and physics are dealing with quite
> different distinctions.  It is a 'type error' it try to reduce or
> identity one with the other.

I don't see why.

> Mathematics deals with logical properties,

I guess you mean "mathematical properties". Since the filure of 
logicism, we know that math is not really related to logic in any way. 
It just happens that a big part of logic appears to be a branch of 
mathemetics, among many other branches.

> physics deals with spatial
> (geometric) properties.  Although geometry is thought of as math, it
> is actually a branch of physics,

Actually I do think so. but physics, with comp, has to be the science 
of what the observer can observe, and the observer is a mathematical 
object, and observation is a mathematical object too (with comp).

> since in addition to pure logical
> axioms, all geometry involves 'extra' assumptions or axioms which are
> actually *physical* in nature (not purely mathematical) .

Here I disagree (so I agree with your preceding post where you agree 
that we agree a lot but for not always for identical reasons).
Arithmetic too need extra (non logical) axioms, and it is a matter of 
taste (eventually) to put them in the branch of physics or math.



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