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. |
| 7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
| Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom. | |
| From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88) | |
| A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate'). |
| 7636 | It can't be more rational to believe in natural laws than miracles if the laws are not rational [Ishaq on Hume] |
| Full Idea: In Hume's argument against miracles, how can it be more rational to believe the laws than the miracles, if the laws themselves are not based on reason? | |
| From: comment on David Hume (Of Miracles [1748]) by Atif Ishaq - talk | |
| A reaction: A very nice question. Hume never presents his argument with such an overt reliance on reason. But if the argument says you are in the 'habit' of expecting no anomalies in the laws, what is to prevent you changing the habit of a lifetime? |