3 ideas
| 7529 | All philosophy should begin with an analysis of propositions [Russell] |
| Full Idea: That all sound philosophy should begin with an analysis of propositions is a truth too evident, perhaps, to demand a proof. | |
| From: Bertrand Russell (The Philosophy of Leibniz [1900], p.8), quoted by Ray Monk - Bertrand Russell: Spirit of Solitude | |
| A reaction: Compare Idea 483. The obvious response to Russell is that it must actually begin with a decision about which propositions are worth analysing - and that ain't easy. I like analysis, but philosophy is also a vision of truth. |
| 17606 | Axioms reveal the underlying assumptions, and reveal relationships between different areas [Kline] |
| Full Idea: The axiomatic method ....revealed precisely what assumptions underlie each branch [of mathematics] and made possible the comparison and clarification of the relationships of various branches. | |
| From: Morris Kline (Mathematical Thought from Ancient to Modern Times [1972], p.1027), quoted by Penelope Maddy - Defending the Axioms 1.3 | |
| A reaction: I take this to be the 'fruitfulness' which marks out the discovery of the essence of something. |
| 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? |