4 ideas
16587 | Prime matter is halfway between non-existence and existence [Averroes] |
Full Idea: Prime matter falls halfway, as it were, between complete non-existence and actual existence. | |
From: Averroes (Ibn Rushd) (Commentary on 'Physics' [1190], I.70), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 03.1 |
13432 | The essence of a circle is the equality of its radii [Leibniz] |
Full Idea: The essence of a circle consists in the equality of all lines drawn from its centre to its circumference. | |
From: Gottfried Leibniz (Letters to Thomasius [1669], 1669) | |
A reaction: Compare Locke in Idea 13431 and Spinoza in Idea 13073 on the essence of geometrical figures. A key question is whether the essence is in the simplest definition, or in a complex and wide-ranging account, e.g. including conic sections for circles. |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice. | |
From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where? |
12696 | Bodies are recreated in motion, and don't exist in intervening instants [Leibniz] |
Full Idea: I have demonstrated that whatever moves is continuously created and that bodies are nothing at any time between the instants in motion. | |
From: Gottfried Leibniz (Letters to Thomasius [1669], 1669.04), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 1 | |
A reaction: Leibniz is a little over-confident about what he has 'demonstrated', but I think (from this remark) that he would not have been displeased with quantum theory, and the notion of a 'quantum leap' and a 'Planck time'. A 'conatus' is a 'smallest motion'. |