display all the ideas for this combination of texts
6 ideas
| 16922 | Space must have three dimensions, because only three lines can meet at right angles [Kant] |
| Full Idea: That complete space …has three dimensions, and that space in general cannot have more, is built on the proposition that not more than three lines can intersect at right angles in a point. | |
| From: Immanuel Kant (Prolegomena to Any Future Metaphysic [1781], 285) | |
| A reaction: Modern geometry seems to move, via the algebra, to more than three dimensions, and then battles for an intuition of how that can be. I don't know how they would respond to Kant's challenge here. |
| 16921 | If all empirical sensation of bodies is removed, space and time are still left [Kant] |
| Full Idea: If everything empirical, namely what belongs to sensation, is taken away from the empirical intuition of bodies and their changes (motion), space and time are still left. | |
| From: Immanuel Kant (Prolegomena to Any Future Metaphysic [1781], 284) | |
| A reaction: This is an exercise in psychological abstraction, which doesn't sound like good evidence, though it is an interesting claim. Physicists want to hijack this debate, but I like Kant's idea. |
| 617 | It is hard to see how either time or movement could come into existence or be destroyed [Aristotle] |
| Full Idea: It is impossible that movement should either come-to-be or be destroyed. The same can be said for time itself, since it is not even possible for there to be an earlier and a later if time does not exist. | |
| From: Aristotle (Metaphysics [c.324 BCE], 1071b06) |
| 620 | The first mover is necessary, and because it is necessary it is good [Aristotle] |
| Full Idea: The existence of the first mover is necessary, and in that it is necessary it is good. | |
| From: Aristotle (Metaphysics [c.324 BCE], 1072b10) | |
| A reaction: This is the direct antithesis of David Hume's is/ought distinction (that the universe is value-free). |
| 613 | Even if the world is caused by fate, mind and nature are still prior causes [Aristotle] |
| Full Idea: Even if luck or the automatic are the cause of the world, mind and nature are prior causes still. | |
| From: Aristotle (Metaphysics [c.324 BCE], 1065b03) |
| 619 | Something which both moves and is moved is intermediate, so it follows that there must be an unmoved mover [Aristotle] |
| Full Idea: Since that which is moved and which also moves is an intermediate, it follows that there must be something that moves without being moved. | |
| From: Aristotle (Metaphysics [c.324 BCE], 1072a19) |