Combining Texts

All the ideas for 'fragments/reports', 'On Euclidean Geometry' and 'Sentences'

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3 ideas

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
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.
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?
27. Natural Reality / D. Time / 1. Nature of Time / e. Eventless time
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.