4 ideas
| 291 | Don't assume that wisdom is the automatic consequence of old age [Plato] |
| Full Idea: Don't assume that wisdom is the automatic consequence of old age. | |
| From: Plato (Laches [c.381 BCE], 188b) | |
| A reaction: I have taught teenagers who seemed to me wiser than nearly all the adults I have ever met. |
| 6019 | If someone squashed a horse to make a dog, something new would now exist [Mnesarchus] |
| Full Idea: If, for the sake of argument, someone were to mould a horse, squash it, then make a dog, it would be reasonable for us on seeing this to say that this previously did not exist but now does exist. | |
| From: Mnesarchus (fragments/reports [c.120 BCE]), quoted by John Stobaeus - Anthology 179.11 | |
| A reaction: Locke would say it is new, because the substance is the same, but a new life now exists. A sword could cease to exist and become a new ploughshare, I would think. Apply this to the Ship of Theseus. Is form more important than substance? |
| 9141 | Abstraction theories build mathematics out of second-order equivalence principles [Cook/Ebert] |
| Full Idea: A theory of abstraction is any account that reconstructs mathematical theories using second-order abstraction principles of the form: §xFx = §xGx iff E(F,G). We ignore first-order abstraction principles such as Frege's direction abstraction. | |
| From: R Cook / P Ebert (Notice of Fine's 'Limits of Abstraction' [2004], 1) | |
| A reaction: Presumably part of the neo-logicist programme, which also uses such principles. The function § (extension operator) 'provides objects corresponding to the argument concepts'. The aim is to build mathematics, rather than the concept of a 'rabbit'. |
| 293 | Being unafraid (perhaps through ignorance) and being brave are two different things [Plato] |
| Full Idea: To be unafraid (like a small child who doesn't understand the danger) and to be brave are two quite different things. | |
| From: Plato (Laches [c.381 BCE], 197b) |