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. |
| 16369 | There is a single file per object, memorised, reactivated, consolidated and expanded [Papineau, by Recanati] |
| Full Idea: For Papineau there is just one file, which is initialised on the first encounter with the object, stored in memory, reactivated on further encounters, and consolidated with familiarity. Accumulation of information shows it is the same file. | |
| From: report of David Papineau (Phenomenal and Perceptual Concepts [2006]) by François Recanati - Mental Files 7.2 | |
| A reaction: Recanati attempts to refute this view, defending a more complex taxonomy of files. I'm sympathetic to Papineau, as distinct shift in file type doesn't sound very plausible. Simplicity suggests Papineau as a better starting-point. |
| 6017 | Nomos is king [Pindar] |
| Full Idea: Nomos is king. | |
| From: Pindar (poems [c.478 BCE], S 169), quoted by Thomas Nagel - The Philosophical Culture | |
| A reaction: This seems to be the earliest recorded shot in the nomos-physis wars (the debate among sophists about moral relativism). It sounds as if it carries the full relativist burden - that all that matters is what has been locally decreed. |