3 ideas
16010 | While faith is a passion (as Kierkegaard says), wisdom is passionless [Wittgenstein] |
Full Idea: Wisdom is passionless. But faith by contrast is what Kierkegaard calls a passion. | |
From: Ludwig Wittgenstein (Culture and Value [1945], 53e) | |
A reaction: [Idea from SY] Personally I don't agree that wisdom is passionless. At the very least, Aristotle allows the wise person to be appropriately angry. [PG] |
15130 | If a property is possible, there is something which can have it [Williamson] |
Full Idea: Barcan's axiom says if there can be something that has a certain property, then there is something that can have that property. It and its converse are not obviously correct or incorrect. They claim that it is non-contingent what individuals there are. | |
From: Timothy Williamson (Laudatio: Prof Ruth Barcan Marcus [2011], p.1) | |
A reaction: Williamson defends the two Barcan formulas, but the more I understand them the less plausible they sound to me. |
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. |