axiom discussion

Charles Brown CharlesB at CNCL.ci.detroit.mi.us
Sat Sep 23 11:43:19 PDT 2000



>>> JKSCHW at aol.com 09/22/00 10:38PM >>>
An axiomatic system is a very specialized thing, involving a closed set of precisely defined axioms stated by using a handful of primitive undefined concepts and relations and proceeding through logical dedictions of a tightlly linked sort to necessary conclusions. Euclid' s Elements are the main example. This was considered the model of knowledge for millenia, and various figures tried to approximate it--Newton comes to mind.

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CB: Larry Sklar always gave Euclidean geometry as an example of analytic a priori truth. That's what made Einstein using non-Euclidean geometry so interesting.

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