3 ideas
9226 | If mathematical theories conflict, it may just be that they have different subject matter [Field,H] |
Full Idea: Unlike logic, in the case of mathematics there may be no genuine conflict between alternative theories: it is natural to think that different theories, if both consistent, are simply about different subjects. | |
From: Hartry Field (Recent Debates on the A Priori [2005], 7) | |
A reaction: For this reason Field places logic at the heart of questions about a priori knowledge, rather than mathematics. My intuitions make me doubt his proposal. Given the very simple basis of, say, arithmetic, I would expect all departments to connect. |
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? |
22241 | Don't fear god or worry about death; the good is easily got and the terrible easily cured [Philodemus] |
Full Idea: Don't fear god, Don't worry about death; What is good is easy to get, What is terrible is easy to cure. | |
From: Philodemus (Herculaneum Papyrus [c.50 BCE], 1005,4.9-14) | |
A reaction: This is known as the Four-Part Cure, and is an epicurean prayer, probably formulated by Epicurus. |