3 ideas
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. |
22072 | Schelling always affirmed the absolute status of freedom [Schelling, by Courtine] |
Full Idea: Throughout Schelling's work we find the affirmation of absolute freedom or of the absolute as freedom. | |
From: report of Friedrich Schelling (Philosophy of Revelation [1843], Vol.13 p.359) by Jean-François Courtine - Schelling p.83 | |
A reaction: Of all of the German idealists, Schelling may be the closest to modern existentialism. |
5467 | Euler said nature is instrinsically passive, and minds cause change [Euler, by Ellis] |
Full Idea: Euler thought the powers necessary for the maintenance of the changing universe would turn out to be just the passive ones of inertia and impenetrability. There are no active powers, he urged, other than those of God and living beings. | |
From: report of Leonhard Euler (Letters to a German Princess [1765]) by Brian Ellis - The Philosophy of Nature: new essentialism Ch.4 | |
A reaction: Very significant, I think, for revealing the religious framework behind early theories of natural laws. If there is nothing external to impose powers and movements on nature, the source must be sought within - hence essentialism. |