@misc{Lexicon of Arguments,
title = {Quotation from: Lexicon of Arguments – Concepts - Ed. Martin Schulz, 29 Mar 2024},
author = {Poincaré,Henri},
subject = {Numbers},
note = {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.},
note = {
T I Chr. Thiel Philosophie und Mathematik Darmstadt 1995 },
file = {http://philosophy-science-humanities-controversies.com/listview-details.php?id=479607}
url = {http://philosophy-science-humanities-controversies.com/listview-details.php?id=479607}
}