7 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. |
| 22331 | Moral statements are imperatives rather than the avowals of emotion - but universalisable [Hare, by Glock] |
| Full Idea: According to Hare's universal prescriptivism, moral statements are closer to imperatives than to avowals of emotion; their purpose is to guide action. But unlike imeperatives they are universalisable. | |
| From: report of Richard M. Hare (Freedom and Reason [1963]) by Hans-Johann Glock - What is Analytic Philosophy? 2.9 | |
| A reaction: Why isn't 'everyone ought to support West Ham' a moral judgement? |
| 22484 | Universalised prescriptivism could be seen as implying utilitarianism [Hare, by Foot] |
| Full Idea: Hare has suggested that a fairly tight form of utilitarianism can be obtained from universalised prescriptivism. | |
| From: report of Richard M. Hare (Freedom and Reason [1963]) by Philippa Foot - Does Moral Subjectivism Rest on a Mistake? p.191 | |
| A reaction: All the benefits of Bentham, Kant and Hume, in one neat package! Since I take all three of them to be wrong about ethics, that counts against this idea. |
| 6449 | The categorical imperative leads to utilitarianism [Hare, by Nagel] |
| Full Idea: Hare has proposed that utilitarianism is the ultimate standard to which we are led by the categorical imperative. | |
| From: report of Richard M. Hare (Freedom and Reason [1963], p.123-4) by Thomas Nagel - Equality and Partiality | |
| A reaction: It seems to me better to say that Kant starts (unwittingly) from something like utilitarianism, that is, an assumption that human happiness and welfare have some sort of intrinsic value that cannot be demonstrated. Otherwise evil can be universalised. |
| 13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
| Full Idea: In a single day there lies open to men of learning more than there ever does to the unenlightened in the longest of lifetimes. | |
| From: Posidonius (fragments/reports [c.95 BCE]), quoted by Seneca the Younger - Letters from a Stoic 078 | |
| A reaction: These remarks endorsing the infinite superiority of the educated to the uneducated seem to have been popular in late antiquity. It tends to be the religions which discourage great learning, especially in their emphasis on a single book. |
| 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'. |
| 20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |
| Full Idea: Posidonius defined time thus: it is an interval of motion, or the measure of speed and slowness. | |
| From: report of Posidonius (fragments/reports [c.95 BCE]) by John Stobaeus - Anthology 1.08.42 | |
| A reaction: Hm. Can we define motion or speed without alluding to time? Looks like we have to define them as a conjoined pair, which means we cannot fully understand either of them. |