5 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. |
17945 | Forms are not a theory of universals, but an attempt to explain how predication is possible [Nehamas] |
Full Idea: The theory of Forms is not a theory of universals but a first attempt to explain how predication, the application of a single term to many objects - now considered one of the most elementary operations of language - is possible. | |
From: Alexander Nehamas (Introduction to 'Virtues of Authenticity' [1999], p.xxvii) |
17946 | Only Tallness really is tall, and other inferior tall things merely participate in the tallness [Nehamas] |
Full Idea: Only Tallness and nothing else really is tall; everything else merely participates in the Forms and, being excluded from the realm of Being, belongs to the inferior world of Becoming. | |
From: Alexander Nehamas (Introduction to 'Virtues of Authenticity' [1999], p.xxviii) | |
A reaction: This is just as weird as the normal view (and puzzle of participation), but at least it makes more sense of 'metachein' (partaking). |
17944 | 'Episteme' is better translated as 'understanding' than as 'knowledge' [Nehamas] |
Full Idea: The Greek 'episteme' is usually translated as 'knowledge' but, I argue, closer to our notion of understanding. | |
From: Alexander Nehamas (Introduction to 'Virtues of Authenticity' [1999], p.xvi) | |
A reaction: He agrees with Julia Annas on this. I take it to be crucial. See the first sentence of Aristotle's 'Metaphysics'. It is explanation which leads to understanding. |
23215 | Even the poorest have a life to lead, and so should consent to who governs them [-] |
Full Idea: For really I think that the poorest hee that is in England hath a life to live, as the greatest hee; …and every Man that is to live under a Government ought first by his own Consent to put himself under that Government. | |
From: - (The Putney Debates [1647]) | |
A reaction: [remark made by Thomas Rainsborough] This is the social contract idea which is explicit in Hobbes. I'm sure we can at least trace it back to John Lilburne in the 1630s. |