3 ideas
16886 | The truth of an axiom must be independently recognisable [Frege] |
Full Idea: It is part of the concept of an axiom that it can be recognised as true independently of other truths. | |
From: Gottlob Frege (On Euclidean Geometry [1900], 183/168), quoted by Tyler Burge - Frege on Knowing the Foundations 4 | |
A reaction: Frege thinks the axioms of arithmetic all reside in logic. |
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? |
16697 | Time is independent of motion, because God could stop everything for a short or long time [Crathorn, by Pasnau] |
Full Idea: Suppose God annihilates everything, and then creates something new. The vacant interval could last a shorter or longer time, so there are facts about time independent of facts about motion. | |
From: report of William Crathorn (Sentences [1335], I.16, concl.2) by Robert Pasnau - Metaphysical Themes 1274-1671 18.2 | |
A reaction: Not very persuasive if God is in some way 'timeless'. Crathorn would have loved Shoemaker's argument, where motionless time is the best explanation, rather than a possible explanation. |