5 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? |
| 15946 | Cantor developed sets from a progression into infinity by addition, multiplication and exponentiation [Cantor, by Lavine] |
| Full Idea: Cantor's development of set theory began with his discovery of the progression 0, 1, ....∞, ∞+1, ∞+2, ..∞x2, ∞x3, ...∞^2, ..∞^3, ...∞^∞, ...∞^∞^∞..... | |
| From: report of George Cantor (Grundlagen (Foundations of Theory of Manifolds) [1883]) by Shaughan Lavine - Understanding the Infinite VIII.2 |
| 15911 | Ordinals are generated by endless succession, followed by a limit ordinal [Cantor, by Lavine] |
| Full Idea: Ordinal numbers are generated by two principles: each ordinal has an immediate successor, and each unending sequence has an ordinal number as its limit (that is, an ordinal that is next after such a sequence). | |
| From: report of George Cantor (Grundlagen (Foundations of Theory of Manifolds) [1883]) by Shaughan Lavine - Understanding the Infinite III.4 |
| 468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
| Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice. | |
| From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where? |