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. |
| 21547 | On Meinong's principles 'the existent round square' has to exist [Russell] |
| Full Idea: To my contention that, on his principles, 'the existent round square' exists, Meinong replies that it is existent but does not exist. I must confess that I see no difference between existing and being existent, and I have no more to say on this head. | |
| From: Bertrand Russell (Review: Meinong 'Uber die Stellung...' [1907], p.93) | |
| A reaction: Russell is obviously invoking the famously dubious ontological argument for God's existence. Normally impossible objects are rejected because of contradictions, but there might also be category mistakes. 'The slow square'. |
| 7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
| Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom. | |
| From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88) | |
| A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate'). |