6 ideas
| 8210 | Deconstructing philosophy gives the history of concepts, and the repressions behind them [Derrida] |
| Full Idea: To 'deconstruct' philosophy would be to think the structured genealogy of philosophy's concepts, but at the same time determine what this history has been able to dissimulate or forbid, making itself into history by this motivated repression. | |
| From: Jacques Derrida (Implications [1967], p.5) | |
| A reaction: All of this type of philosophy is motivated by what I think of as (I'm afraid!) a rather adolescent belief that we are all being 'repressed', and that somehow, if we think hard enough, we can all become 'free', and then everything will be fine. |
| 8211 | The movement of 'différance' is the root of all the oppositional concepts in our language [Derrida] |
| Full Idea: The movement of 'différance', as that which produces different things, that which differentiates, is the common root of all the oppositional concepts that mark our language, such as sensible/intelligible, intuition/signification, nature/culture etc. | |
| From: Jacques Derrida (Implications [1967], p.7) | |
| A reaction: 'Différance' is a word coined by Derrida, and his most famous concept. At first glance, the concept of a thing which is the source of all differentiation sounds like a fiction. |
| 17809 | Gödel showed that the syntactic approach to the infinite is of limited value [Kreisel] |
| Full Idea: Usually Gödel's incompleteness theorems are taken as showing a limitation on the syntactic approach to an understanding of the concept of infinity. | |
| From: Georg Kreisel (Hilbert's Programme [1958], 05) |
| 17810 | The study of mathematical foundations needs new non-mathematical concepts [Kreisel] |
| Full Idea: It is necessary to use non-mathematical concepts, i.e. concepts lacking the precision which permit mathematical manipulation, for a significant approach to foundations. We currently have no concepts of this kind which we can take seriously. | |
| From: Georg Kreisel (Hilbert's Programme [1958], 06) | |
| A reaction: Music to the ears of any philosopher of mathematics, because it means they are not yet out of a job. |
| 19087 | The meaning or purport of a symbol is all the rational conduct it would lead to [Peirce] |
| Full Idea: The entire intellectual purport of any symbol consists in the total of all modes of rational conduct which, conditionally upon all the possible different circumstances and desires, would ensue upon the acceptance of the symbol. | |
| From: Charles Sanders Peirce (Issues of Pragmaticism [1905], EP ii.246), quoted by Danielle Macbeth - Pragmatism and Objective Truth p.169 n1 | |
| A reaction: Macbeth says pragmatism is founded on this theory of meaning, rather than on a theory of truth. I don't see why the causes of a symbol shouldn't be as much a part of its meaning as the consequences are. |
| 17811 | The natural conception of points ducks the problem of naming or constructing each point [Kreisel] |
| Full Idea: In analysis, the most natural conception of a point ignores the matter of naming the point, i.e. how the real number is represented or by what constructions the point is reached from given points. | |
| From: Georg Kreisel (Hilbert's Programme [1958], 13) | |
| A reaction: This problem has bothered me. There are formal ways of constructing real numbers, but they don't seem to result in a name for each one. |