4 ideas
19395 | Philosophy is sanctified, because it flows from God [Leibniz] |
Full Idea: Philosophy is sanctified by having its streams flow from the fountain of God's attributes. | |
From: Gottfried Leibniz (A General Principle to Explain Laws of Nature [1687], p.69) |
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. |
19394 | Inequality can be brought infinitely close to equality [Leibniz] |
Full Idea: Equality may be considered as an infinitely small inequality, and we may make inequality approach equality as much as we wish. | |
From: Gottfried Leibniz (A General Principle to Explain Laws of Nature [1687], p.67) | |
A reaction: An interesting response to David Lewis's brusque dismissal of the problem of identity, as all-or-nothing...end of story. |
14349 | If there are no finks or antidotes at the fundamental level, the laws can't be ceteris paribus [Burge, by Corry] |
Full Idea: Bird argues that there are no finks at the fundamental level, and unlikely to be any antidotes. It then follows that laws at the fundamental level will all be strict - not ceteris paribus - laws. | |
From: report of Tyler Burge (Intellectual Norms and Foundations of Mind [1986]) by Richard Corry - Dispositional Essentialism Grounds Laws of Nature? 3 | |
A reaction: [Bird's main target is Nancy Cartwright 1999] This is a nice line of argument. Isn't part of the ceteris paribus problem that two fundamental laws might interfere with one another? |