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. |
74 | Even God could not undo what has been done [Agathon] |
Full Idea: One thing is denied even to God: to make what has been done undone again. | |
From: Agathon (plays (frags) [c.410 BCE]), quoted by Aristotle - Nicomachean Ethics 1139b09 | |
A reaction: a quotation - cf the Euthyphro Question |
6005 | Animals are dangerous and nourishing, and can't form contracts of justice [Hermarchus, by Sedley] |
Full Idea: Hermarchus said that animal killing is justified by considerations of human safety and nourishment and by animals' inability to form contractual relations of justice with us. | |
From: report of Hermarchus (fragments/reports [c.270 BCE]) by David A. Sedley - Hermarchus | |
A reaction: Could the last argument be used to justify torturing animals? Or could we eat a human who was too brain-damaged to form contracts? |