5 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. |
| 12313 | Explanation is for curiosity, control, understanding, to make meaningful, or to give authority [Stanford] |
| Full Idea: There are a number of reasons why we explain: out of sheer curiosity, to increase our control of a situation, to help understanding by simplifying or making familiar, to confer meaning or significance, and to give scientific authority to some statement. | |
| From: Michael Stanford (Explanation: the state of play [1991], p.172) |
| 12314 | Audience-relative explanation, or metaphysical explanation based on information? [Stanford] |
| Full Idea: Rather than an 'interest-relative' notion of explanation (Putnam), it can be informational content which makes an explanation, which is an 'audience-invariant' contraint, which is not pragmatic, but mainly epistemological and also partly metaphysical. | |
| From: Michael Stanford (Explanation: the state of play [1991], p.172) | |
| A reaction: [compressed summary of Ruben 1990] Examples given are that Rome burning explains Nero fiddling, even if no one ever says so, and learning that George III had porphyria explains his madness. |
| 12315 | We can explain by showing constitution, as well as showing causes [Stanford] |
| Full Idea: The powerful engine of my car can be explained by an examination of each of its parts, but it is not caused by them. They do not cause the engine; they constitute it. | |
| From: Michael Stanford (Explanation: the state of play [1991], p.174) | |
| A reaction: [example from Ruben 1990:221] This could be challenged, since there is clearly a causal connection between the constitution and the whole. We distinguish engine parts which contribute to the power from those which do not. |
| 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. |