Lexicon of Arguments

Philosophical and Scientific Issues in Dispute
 
[german]


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Theses I
Theses II

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Thiel I 18
Numbers/Mathematics/Ontology/Mathematical Entities/Poincaré/Thiel: Definition Conventionalism (Poincaré:) Poincaré considers this concept to be a mistake for his contemporaries, who think that geometric statements, such as that the angular sum of the triangle can be proved via two right angles.
>Conventionalism/Poincaré, >Mathematical Entities.
The empirical finding about spatial reality cannot clearly prescribe a geometry which characterizes this finding. The N.B. is not the measurement accuracy, but Poincaré says that the geometry remains freely selectable even with results within this measuring accuracy.
>Measuring, >Geometry.
We could also introduce additional physical laws for a measured triangle with less than 180°, e.g. the effect of "fields". The name "conventionalism" refers to this "free selectability" of the system of geometry.
>Laws, >Laws of nature, >Physical laws.

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