FOM: Analogy between spacetime and formalism?
V.Sazonov at doc.mmu.ac.uk
Tue Sep 5 13:11:18 EDT 2000
Jeffrey Ketland wrote:
> You've shot yourself in the foot here. In this case, there is always a
> manifold M, with an atlas of co-ordinate charts that covers M. The
> co-ordinates thus describe something *external to the co-ordinates* - namely
> the points in the manifold, their subsets and certain relations (c.f.,
> formal systems are descriptions of mathematical structures, which we do not
It is, in particular, because of this mathematically definable notion
of manifold (the set of all "possible" physical events) I wrote that the
analogy is not complete. My analogy was rather related with absoluteness
of time - the main point of relativity theory and why this theory got
Is this enough for the analogy (which was, of course, not the main point
of my posting, just an illustration)?
As to formal systems describing mathematical structures, `which we do
create', I, of course, do not agree that we do not create them.
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