3 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. |
15540 | You can't deny temporary intrinsic properties by saying the properties are relations (to times) [Lewis] |
Full Idea: To say that properties are really relations to times is to treat temporary intrinsics (such as my changing shape) as a matter of relations, but then 'intrinsic properties' would not deserve the name, and it is untenable if it denies temporary intrinsics. | |
From: David Lewis (Rearrangement of Particles [1988], 1) | |
A reaction: [I have compressed a paragraph; he refers to his 1986:204] If a property is meant to be a 'relation to a time', I am not sure what the relata are meant to be, and I agree with Lewis that this seems a long way from properties. |
2685 | The Greek 'philia' covers all good and fruitful relationships [Cooper,JM] |
Full Idea: The Greek 'philia' is much wider than our "friendship"; it includes family relationships, and business relationships and membership of institutions. | |
From: John M. Cooper (Aristotle on Friendship [1977], p.301) |