4 ideas
| 10066 | Putnam coined the term 'if-thenism' [Putnam, by Musgrave] |
| Full Idea: Putnam coined the term 'if-thenism'. | |
| From: report of Hilary Putnam (The Thesis that Mathematics is Logic [1967]) by Alan Musgrave - Logicism Revisited §5 n |
| 10190 | From the axiomatic point of view, mathematics is a storehouse of abstract structures [Bourbaki] |
| Full Idea: From the axiomatic point of view, mathematics appears as a storehouse of abstract forms - the mathematical structures. | |
| From: Nicholas Bourbaki (The Architecture of Mathematics [1950], 221-32), quoted by Fraser MacBride - Review of Chihara's 'Structural Acc of Maths' p.79 | |
| A reaction: This seems to be the culmination of the structuralist view that developed from Dedekind and Hilbert, and was further developed by philosophers in the 1990s. |
| 22518 | The actual must be possible, because it occurred [Aristotle] |
| Full Idea: Actual events are evidently possible, otherwise they would not have occurred. | |
| From: Aristotle (The Poetics [c.347 BCE], 1451b18) | |
| A reaction: [quoted online by Peter Adamson] Seems like common sense, but it's important to have Aristotle assert it. |
| 16566 | Poetry is more philosophic than history, as it concerns universals, not particulars [Aristotle] |
| Full Idea: Poetry is something more philosophic and of graver import than history, since its statements are rather of universals, whereas those of history are singulars. | |
| From: Aristotle (The Poetics [c.347 BCE], 1451b05) | |
| A reaction: Hm. Characters in great novels achieve universality by being representated very particularly. Great depth of mind seems required to be a poet, but less so for a historian (though there is, I presume, no upward limit on the possible level of thought). |