Combining Texts

Ideas for 'Science and Method', 'Category Mistakes' and 'Thought: a very short introduction'

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2 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry

10245	One geometry cannot be more true than another [Poincaré]
	Full Idea: One geometry cannot be more true than another; it can only be more convenient.
	From: Henri Poincaré (Science and Method [1908], p.65), quoted by Stewart Shapiro - Philosophy of Mathematics
	A reaction: This is the culminating view after new geometries were developed by tinkering with Euclid's parallels postulate.

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / e. Caesar problem

17997	Some suggest that the Julius Caesar problem involves category mistakes [Magidor]
	Full Idea: Various authors have argued that identity statements arising in the context of the 'Julius Caesar' problem in philosophy of mathematics constitute category mistakes.
	From: Ofra Magidor (Category Mistakes [2013], 1.1 n1)
	A reaction: [She cites Benacerraf 1965 and Shapiro 1997:79]