Godel's theorem as a corollary of impossibility of complete axiomatization of geometry

Details Godel's theorem as a corollary of impossibility of complete axiomatization of geometry Godel's theorem as a corollary of impossibility of complete axiomatization of geometry

2007-09-06

arxiv.org/abs/0709.0783v2

Mathematics

General Mathematics

15 pages, 0 figures, correction of misprints

Scientific paper

Not any geometry can be axiomatized. The paradoxical Godel's theorem starts from the supposition that any geometry can be axiomatized and goes to the result, that not any geometry can be axiomatized. One considers example of two close geometries (Riemannian geometry and $\sigma $-Riemannian one), which are constructed by different methods and distinguish in some details. The Riemannian geometry reminds such a geometry, which is only a part of the full geometry. Such a possibility is covered by the Godel's theorem.

Affiliated with

Also associated with

No associations

Rating

Godel's theorem as a corollary of impossibility of complete axiomatization of geometry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Godel's theorem as a corollary of impossibility of complete axiomatization of geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Godel's theorem as a corollary of impossibility of complete axiomatization of geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-657664