4 ideas
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. |
1556 | By nature people are close to one another, but culture drives them apart [Hippias] |
Full Idea: I regard you all as relatives - by nature, not by convention. By nature like is akin to like, but convention is a tyrant over humankind and often constrains people to act contrary to nature. | |
From: Hippias (fragments/reports [c.430 BCE]), quoted by Plato - Protagoras 337c8 |
22456 | Maybe virtues conflict with each other, if some virtue needs a vice for its achievement [Foot] |
Full Idea: Maybe so far from forming a unity ...., the virtues actually conflict with each other: that is, if someone has one of them he inevitably fails to have some other. ...Maybe he a man can only be good in one way be being bad in another. | |
From: Philippa Foot (Moral Realism and Moral Dilemma [1983], p.57) | |
A reaction: She suggests the self-loathing needed to rein in evil desires. She cites Nietzsche having a similar thought. Presumably the ideal virtuous person has no such conflicts, and the self-loathing undermines eudaimonia. Unity in theory but not in practice? |
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'. |