3 ideas
| 6558 | A foolish consistency is the hobgoblin of little minds [Emerson] |
| Full Idea: A foolish consistency is the hobgoblin of little minds, adored by little statesmen and philosophers and divines. With consistency a great soul has simply nothing to do. | |
| From: Ralph Waldo Emerson (Self-Reliance [1841], p.37) | |
| A reaction: A remark to warm the hearts of pragmatists, Wittgensteinians, Nietzscheans and the post-modern mob. But pay careful attention to the word "foolish". Robert Fogelin gives a very balanced view of the matter (e.g. Idea 6557). |
| 10594 | Henkin semantics is more plausible for plural logic than for second-order logic [Maddy] |
| Full Idea: Henkin-style semantics seem to me more plausible for plural logic than for second-order logic. | |
| From: Penelope Maddy (Second Philosophy [2007], III.8 n1) | |
| A reaction: Henkin-style semantics are presented by Shapiro as the standard semantics for second-order logic. |
| 10245 | One geometry cannot be more true than another [Poincaré] |
| Full Idea: One geometry cannot be more true than another; it can only be more convenient. | |
| From: Henri Poincaré (Science and Method [1908], p.65), quoted by Stewart Shapiro - Philosophy of Mathematics | |
| A reaction: This is the culminating view after new geometries were developed by tinkering with Euclid's parallels postulate. |