4 ideas
8138 | Beware lest any man spoil you through philosophy [Paul] |
Full Idea: Beware lest any man spoil you through philosophy. | |
From: St Paul (12: Colossians [c.55], 2.8) | |
A reaction: The same might be said of preaching. The two sorts of spoiling seem to be fanaticism and wickedness. While reason can lead to fanaticism, I believe (with Socrates) that it is unlikely to corrupt morally. |
9565 | Zermelo made 'set' and 'member' undefined axioms [Zermelo, by Chihara] |
Full Idea: The terms 'set' and 'is a member of' are primitives of Zermelo's 1908 axiomatization of set theory. They are not given model-theoretic analyses or definitions. | |
From: report of Ernst Zermelo (works [1920]) by Charles Chihara - A Structural Account of Mathematics 7.5 | |
A reaction: This looks like good practice if you want to work with sets, but not so hot if you are interested in metaphysics. |
3339 | For Zermelo's set theory the empty set is zero and the successor of each number is its unit set [Zermelo, by Blackburn] |
Full Idea: For Zermelo's set theory the empty set is zero and the successor of each number is its unit set. | |
From: report of Ernst Zermelo (works [1920]) by Simon Blackburn - Oxford Dictionary of Philosophy p.280 |
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? |