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. |
| 21907 | We don't want another new set of categories; we want a variety of flexible categories [Deleuze, by May] |
| Full Idea: For Deleuze, the task is not one of replacing a single set of categories with another set. It is one of being able to create and move among various sets of categories, and even to cross between them. | |
| From: report of Gilles Deleuze (The Actual and the Virtual [1977]) by Todd May - Gilles Deleuze 4.05 | |
| A reaction: This sounds fun, but I'm not clear why we need this anarchic mix of categories. The motto of Deleuze seems to be 'at all costs, keep moving'. He loved the idea of nomads. Is Rimbaud our role model? The influence of Foucault is obvious. |
| 7076 | Mill wondered if he would be happy if all his aims were realised, and answered no [Mill, by Critchley] |
| Full Idea: Mill, in his crisis of 1827, asked himself whether he would be happy if all his objects in life were realised, and had to answer that he would not. | |
| From: report of John Stuart Mill (Autobiography [1870]) by Simon Critchley - Continental Philosophy - V. Short Intro Ch.3 | |
| A reaction: The reply is either that happiness is in the striving, or that his aims in life were wrong, or that happiness is impossible. It seems to contradict Kant's definition (Idea 1452). |