3 ideas
| 17622 | We come to believe mathematical propositions via their grounding in the structure [Burge] |
| Full Idea: A deeper justification for believing in [mathematical] propositions [apart from pragmatism] lies in finding their place in a logicist proof structure, by understanding the grounds within this structure that support them. | |
| From: Tyler Burge (Frege on Knowing the Foundations [1998], 3) | |
| A reaction: This generalises to doubting something until you see what grounds it. |
| 2713 | Are sense-data independent, with identity, substance and location? [Tye] |
| Full Idea: Can sense-data exist unsensed? Can two persons experience numerically identical sense-data? Do sense-data have surfaces which are not sensed? What are sense-data made of? Are they located? | |
| From: Michael Tye (Adverbial Theory [1995], p.7) |
| 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? |