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. |
5960 | When the soul is intelligent and harmonious, it is part of god and derives from god [Plutarch] |
Full Idea: The soul, when it has partaken of intelligence and reason and concord, is not merely a work but also a part of god and has come to be not by his agency but both from him as source and out of his substance. | |
From: Plutarch (67: Platonic Questions [c.85], II.1001) | |
A reaction: A most intriguing shift of view from earlier concepts of the psuché. How did this come about? This man is a pagan. The history is in the evolution of Platonism. See 'The Middle Platonists' by John Dillon. Davidson is also very impressed by reason. |
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? |