8 ideas
21900 | Deleuze relies on Spinoza (immanence), Bergson (duration), and difference (Nietzsche) [May] |
Full Idea: The three tripods on which the philosophy of Deleuze stands are immanence (Spinoza), duration (Bergson), and the affirmation of difference (Nietzsche). | |
From: Todd May (Gilles Deleuze [2006], 2.12) | |
A reaction: [Just to begin sketching how continental philosophy sees its tradition]. |
13365 | Russell's Paradox is a stripped-down version of Cantor's Paradox [Priest,G on Russell] |
Full Idea: Russell's Paradox is a stripped-down version of Cantor's Paradox. | |
From: comment on Bertrand Russell (Letters to Frege [1902]) by Graham Priest - The Structure of Paradoxes of Self-Reference §2 |
10711 | Russell's paradox means we cannot assume that every property is collectivizing [Potter on Russell] |
Full Idea: Russell's paradox showed that we cannot consistently assume what is sometimes called the 'naïve comprehension principle', namely that every property is collectivizing. | |
From: comment on Bertrand Russell (Letters to Frege [1902]) by Michael Potter - Set Theory and Its Philosophy 03.6 |
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. |
9127 | Russell refuted Frege's principle that there is a set for each property [Russell, by Sorensen] |
Full Idea: Russell refuted Frege's principle that there is a set for each property. | |
From: report of Bertrand Russell (Letters to Frege [1902], 1904.12.12) by Roy Sorensen - Vagueness and Contradiction 6.1 | |
A reaction: This is the principle stumbling block to any attempt to explain properties purely in terms of sets. I would say that Russell proved there couldn't be a set for each predicate. You can't glibly equate proper properties with predicates. |
7531 | We don't assert private thoughts; the objects are part of what we assert [Russell] |
Full Idea: I believe Mont Blanc itself is a component part of what is actually asserted in the proposition 'Mont Blanc is more than 4000 metres high'; we do not assert the thought, which is a private psychological matter, but the object of the thought. | |
From: Bertrand Russell (Letters to Frege [1902], 1904.12.12), quoted by Ray Monk - Bertrand Russell: Spirit of Solitude Ch.4 | |
A reaction: This would appear to be pretty much externalism about concepts, given that Russell would accept that other people know much more about Mont Blanc than he does, and their knowledge is included in what he asserts. |
21898 | For existentialists the present is empty without the pull of the future and weight of the past [May] |
Full Idea: For the existential view of lived time, the present would be empty if it were not for the pull of the future and the weight of the past that give it its character. | |
From: Todd May (Gilles Deleuze [2006], 2.05) | |
A reaction: Bergson seems to be important in developing this idea, though I suspect that Kierkegaard is a source. |
21905 | Liberal theory starts from the governed, not from the governor [May] |
Full Idea: For liberal theory, it is the individual to be governed, not the governor, who is the starting point. | |
From: Todd May (Gilles Deleuze [2006], 4.02) | |
A reaction: I'm inclined to see this as the single-handed achievement of Thomas Hobbes, who starts from the need of citizens to secure their contracts. Plato's society starts from entrepreneurs, but their need for a ruler seems a priori. |