4 ideas
| 14248 | We could accept the integers as primitive, then use sets to construct the rest [Cohen] |
| Full Idea: A very reasonable position would be to accept the integers as primitive entities and then use sets to form higher entities. | |
| From: Paul J. Cohen (Set Theory and the Continuum Hypothesis [1966], 5.4), quoted by Oliver,A/Smiley,T - What are Sets and What are they For? | |
| A reaction: I find this very appealing, and the authority of this major mathematician adds support. I would say, though, that the integers are not 'primitive', but pick out (in abstraction) consistent features of the natural world. |
| 21932 | 'Différance' is the interwoven history of each sign [Derrida, by Glendinning] |
| Full Idea: What Derrida calls 'différance' can be understood as the movement through which every sign is 'constituted historically as a weave of differences'....This replacement for 'speech' in the 'origin' of the system is to avoid the circularity in structuralism. | |
| From: report of Jacques Derrida (Différance [1982]) by Simon Glendinning - Derrida: A Very Short Introduction 5 | |
| A reaction: [compressed] Struggling to grasp this. Some English words entirely change their meaning over time (e.g. buxom). Does the lost meaning remain part of the new meaning? If so, how? He also calls différance 'sameness which is not identical'. |
| 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. |