4 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. |
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? |
12719 | Clearly, force is that from which action follows, when unimpeded [Leibniz] |
Full Idea: The notion of force is as clear as that of action and passion, because it is that from which action follows when nothing prevents it. | |
From: Gottfried Leibniz (Letters to Paul Pellison-Fontinier [1691], A1.6.226), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 4 | |
A reaction: For Leibniz, force seems to be a metaphysical notion, rather than a feature of the physical world. I take it to be the bottom level of explanation, and it equates with Aristotelian form and essence. |
12720 | Time doesn't exist, since its parts don't coexist [Leibniz] |
Full Idea: Time never exists, since all of its parts never exist together. | |
From: Gottfried Leibniz (Letters to Paul Pellison-Fontinier [1691], A1.6.226), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 4 | |
A reaction: The problem here is that he seems to be admitting that time has 'parts'. Can something have parts and not exist? Events will also fail to exist by this criterion, though we could hardly deny that events (or some such) 'happen'. |