On Nov 28, 1:18 am, Günther Greindl <[EMAIL PROTECTED]>
> Dear Marc,
> > Physics deals with symmetries, forces and fields.
> > Mathematics deals with data types, relations and sets/categories.
> I'm no physicist, so please correct me but IMHO:
> Symmetries = relations
> Forces - could they not be seen as certain invariances, thus also
> relating to symmetries?
> Fields - the aggregate of forces on all spacetime "points" - do not see
> why this should not be mathematical relation?
> > The mathemtical entities are informational. The physical properties
> > are geometric. Geometric properties cannot be derived from
> > informational properties.
> Why not? Do you have a counterexample?
Don't get me wrong. I don't doubt that all physical things can be
*described* by mathematics. But this alone does not establish that
physical things *are* mathematical. As I understand it, for the
examples you've given, what happens is that based on emprical
observation, certain primatives of geometry and symmetry are *attached
to* (connected with) mathematical relations, numbers etc which
successfully *describe/predict* these physical properties. But it
does not follow from this, that the mathematical relations/numbers
*are* the geometric properties/symmetrics.
In order to show that the physical properties *are* the mathematical
properties (and not just described by or connected to the physical
properties), it has to be shown how geometric/physical properties
emerge from/are logically derived from sets/categories/numbers alone.
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