5 ideas
| 13547 | Limitation of Size is weak (Fs only collect is something the same size does) or strong (fewer Fs than objects) [Boolos, by Potter] |
| Full Idea: Weak Limitation of Size: If there are no more Fs than Gs and the Gs form a collection, then Fs form a collection. Strong Limitation of Size: A property F fails to be collectivising iff there are as many Fs as there are objects. | |
| From: report of George Boolos (Iteration Again [1989]) by Michael Potter - Set Theory and Its Philosophy 13.5 |
| 23900 | Chance is compatible with necessity, and the two occur together [Weil] |
| Full Idea: Chance is not the contrary of necessity; it is not incompatible with necessity. On the contrary, it never appears except at the same time as necessity. | |
| From: Simone Weil (The Scientific Image [1941], p.175) | |
| A reaction: She illustrates it with the six terminating results of a die throw, and the innumerabe ways the throw can occur. This thought strikes me as relevant to discussions of free will. …But I'm not sure I fully understand it. |
| 23899 | The secret of art is that beauty is a just blend of unity and its opposite [Weil] |
| Full Idea: A just blend of unity and that which opposes it is the condition of the beautiful, and it is the secret of art. | |
| From: Simone Weil (The Scientific Image [1941], p.169) | |
| A reaction: Rather sweeping, but the observation strikes me as fairly accurate. It seems to work for most novels, paintings and music, though more recent art may provide counterexamples. |
| 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. |
| 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. |