display all the ideas for this combination of texts
2 ideas
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. |
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] |