Pure and applied geometries from a synthetic-axiomatic approach to theories
Journal Title: Eidos - Year 2005, Vol 3, Issue 0
Abstract
In this paper I draw a clear and precise distinction between pure or mathematical geometry and applied or physical geometry. I make this distinction inside two contexts: one, the reflections about foundations of geometry due to the source of non-Euclidean geometry and, other one, the discussions by the logical positivists on general structure of empirical theories. In particular, such and like propose the logical positivists, I defend that pure geometry is a formal system that doesn’t tell us anything about physical reality, whereas applied geometry is a theory about physical space that comes of to interpret a mathematical geometry. I support this thesis in some Einstein’s ideas about the general theory of relativity. Finally, even though this picture of structure of physical geometry is relatively appropriate, I insist on the thesis of that main mistake of logical empiricist philosophy would be in making of this picture the dominant character of structure of scientific theories in general.
Authors and Affiliations
Germán Guerrero Pino
Keywords
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Pure and applied geometries from a synthetic-axiomatic approach to theories
In this paper I draw a clear and precise distinction between pure or mathematical geometry and applied or physical geometry. I make this distinction inside two contexts: one, the reflections about foundations of geometry...