Combining Texts

All the ideas for 'fragments/reports', 'Recent Debates on the A Priori' and 'Herculaneum Papyrus'

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3 ideas

6. Mathematics / A. Nature of Mathematics / 1. Mathematics
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.
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
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?
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
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.