3 ideas
10247 | We have no adequate logic at the moment, so mathematicians must create one [Veblen] |
Full Idea: Formal logic has to be taken over by mathematicians. The fact is that there does not exist an adequate logic at the present time, and unless the mathematicians create one, no one else is likely to do so. | |
From: Oswald Veblen (Presidential Address of Am. Math. Soc [1924], 141), quoted by Stewart Shapiro - Philosophy of Mathematics | |
A reaction: This remark was made well after Frege, but before the advent of Gödel and Tarski. That implies that he was really thinking of meta-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? |
3015 | The virtue of man is thoughtful foresight of future events [Chilo, by Diog. Laertius] |
Full Idea: A foresight of future events, such as could be arrived at by consideration, is the virtue of man. | |
From: report of Chilo (poems (frags) [c.490 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 01.4.1 |