3 ideas
9159 | You can't simply convert geometry into algebra, as some spatial content is lost [Burge] |
Full Idea: Although one can translate geometrical propositions into algebraic ones and produce equivalent models, the meaning of geometrical propositions seems to me to be thereby lost. Pure geometry involves spatial content, even if abstracted from physical space. | |
From: Tyler Burge (Frege on Apriority [2000], IV) | |
A reaction: This supports Frege's view (against Quine) that geometry won't easily fit into the programme of logicism. I agree with Burge. You would be focusing on the syntax of geometry, and leaving out the semantics. |
3519 | Man uses his body, so must be separate from it [Anon (Plat), by Maslin] |
Full Idea: A man uses his whole body to do things, and therefore, just as a person is distinct from a tool he uses, so it follows that a man must be distinct from his body. | |
From: report of Anon (Plat) (Alcibiades [c.340 BCE]) by Keith T. Maslin - Introduction to the Philosophy of Mind 2.3 | |
A reaction: This 'follows'? Every part of my body and my mind makes 'use' of every other part. My body uses my mind to achieve reproduction. He presumably means 'person' rather than 'man'. |
5655 | Happiness is not satisfaction of desires, but fulfilment of values [Bradley, by Scruton] |
Full Idea: For Bradley, the happiness of the individual is not to be understood in terms of his desires and needs, but rather in terms of his values - which is to say, in terms of those of his desires which he incorporates into his self. | |
From: report of F.H. Bradley (Ethical Studies [1876]) by Roger Scruton - Short History of Modern Philosophy Ch.16 | |
A reaction: Good. Bentham will reduce the values to a further set of desires, so that a value is a complex (second-level?) desire. I prefer to think of values as judgements, but I like Scruton's phrase of 'incorporating into his self'. Kant take note (Idea 1452). |