@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} }