4 ideas
| 21238 | Later phenomenologists tried hard to incorporate social relationships [Bakewell] |
| Full Idea: Ever since Husserl, phenomenologists and existentialists had been trying to stretch the definition of existence to incorporate our social lives and relationships. | |
| From: Sarah Bakewell (At the Existentialist Café [2016], 08) | |
| A reaction: I see a parallel move in Wittgenstein's Private Language Argument. Husserl's later work seems to have been along those lines. Putnam's Twin Earth too. |
| 21237 | Phenomenology begins from the immediate, rather than from axioms and theories [Bakewell] |
| Full Idea: Traditional philosophy often started with abstract axioms or theories, but the German phenomenologists went straight for life as they experienced it, moment to moment. | |
| From: Sarah Bakewell (At the Existentialist Café [2016], 01) | |
| A reaction: Bakewell gives this as the gist of what Aron said to Sartre in 1933, providing the bridge from phenomenology to existentialism. The obvious thought is that everybody outside philosophy starts from immediate experience, so why is this philosophy? |
| 10247 | We have no adequate logic at the moment, so mathematicians must create one [Veblen] |
| Full Idea: Formal logic has to be taken over by mathematicians. The fact is that there does not exist an adequate logic at the present time, and unless the mathematicians create one, no one else is likely to do so. | |
| From: Oswald Veblen (Presidential Address of Am. Math. Soc [1924], 141), quoted by Stewart Shapiro - Philosophy of Mathematics | |
| A reaction: This remark was made well after Frege, but before the advent of Gödel and Tarski. That implies that he was really thinking of meta-logic. |
| 10855 | Actual infinities are not allowed in mathematics - only limits which may increase without bound [Gauss] |
| Full Idea: I protest against the use of an infinite quantity as an actual entity; this is never allowed in mathematics. The infinite is only a manner of speaking, in which one properly speaks of limits ...which are permitted to increase without bound. | |
| From: Carl Friedrich Gauss (Letter to Shumacher [1831]), quoted by Brian Clegg - Infinity: Quest to Think the Unthinkable Ch.7 |