Lexicon of Arguments

Philosophical and Scientific Issues in Dispute
 
[german]


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Concepts
Versus
Sc. Camps
Theses I
Theses II

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I 278
Space/Dimensions/Axioms/Thiel: The 19th century has shown that the replacement of the Euclidean axiom system of geometry by a contradictory one is also possible without contradiction for the assumption of a space with more than three dimensions.
>Space, >Minkowski-Space, >Geometry.
I 279
The derivation of the geometric sentences is entirely formal, without reference to the life world. The dispute over the "justification" of non-Euclidean geometry actually only concerned the hasty claim that it was now the "right" instead of the "wrong" Euclidean.
Rather important is the change of meaning of the terms "axiom", "definition", "space", and "geometry" connected with this development.
>Axioms, >Derivation, >Derivability.

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