6 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. |
| 13160 | To exist and be understood, a multitude must first be reduced to a unity [Leibniz] |
| Full Idea: A plurality of things can neither be understood nor can exist unless one first understands the thing that is one, that to which the multitude necessarily reduces. | |
| From: Gottfried Leibniz (Notes on Comments by Fardella [1690], Prop 3) | |
| A reaction: Notice that it is our need to understand which imposes the unity on the multitude. It is not just some random fiction, or a meaningless mechanical act of thought. |
| 13161 | Substances are everywhere in matter, like points in a line [Leibniz] |
| Full Idea: There are substances everywhere in matter, just as points are everywhere in a line. | |
| From: Gottfried Leibniz (Notes on Comments by Fardella [1690], Clarif) | |
| A reaction: Since Leibniz is unlikely to believe in the reality of the points, we must wonder whether he was really committed to this infinity of substances. The more traditional notion of substance is always called 'substantial form' by Leibniz. |
| 17527 | Causation seems to be an innate concept (or acquired very early) [Bird] |
| Full Idea: There is evidence that the concept of causation is innate, or that we are primed to acquire it very early in life, within months at most. | |
| From: Alexander Bird (Causation and the Manifestation of Powers [2010], p.167) | |
| A reaction: Bird doesn't give any references. This is important for our understanding of induction. Creatures seem to learn from a single instance, rather than waiting for habit to be ingrained by many instances. They must infer a cause. |
| 17528 | The dispositional account explains causation, as stimulation and manifestation of dispositions [Bird] |
| Full Idea: The analysis of causation in terms of dispositions provides no conceptual reduction, but it does provide insight into the metaphysics of causation. We then know what causation is - it is the stimulation and manifestation of a disposition. | |
| From: Alexander Bird (Causation and the Manifestation of Powers [2010], p.167) | |
| A reaction: I would say that it offers the essence of causation, by giving a basic explanation of it. See Mumford/Lill Anjum on this. |
| 17526 | The counterfactual approach makes no distinction between cause and pre-condition [Bird] |
| Full Idea: The counterfactual approach makes no distinction between cause and condition, ...but when the smoke sets off the fire alarm, the smoke is the cause, whereas the presence of the alarm is just the condition. | |
| From: Alexander Bird (Causation and the Manifestation of Powers [2010], p.162) | |
| A reaction: Bird defends the idea that causes are what stimulate dispositions to act. |