Combining Texts

All the ideas for 'fragments/reports', 'The Logic of Infinity' and 'Philosophy in the Tragic Age of the Greeks'

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4 ideas

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
18203 Avoid non-predicative classifications and definitions [Poincaré]
     Full Idea: Never consider any objects but those capable of being defined in a finite number of word ...Avoid non-predicative classifications and definitions.
     From: Henri Poincaré (The Logic of Infinity [1909], p.63), quoted by Penelope Maddy - Naturalism in Mathematics II.4
23. Ethics / F. Existentialism / 5. Existence-Essence
20130 It is absurd to think you can change your own essence, like a garment [Nietzsche]
     Full Idea: Man is necessity down to his last fibre, and totally 'unfree', that is if one means by freedom the foolish demand to be able to change one's 'essentia' arbitrarily, like a garment.
     From: Friedrich Nietzsche (Philosophy in the Tragic Age of the Greeks [1873], p.7), quoted by Brian Leiter - Nietzsche On Morality 2 'Realism'
     A reaction: This is the big difference between the existentialism of Nietzsche and the more famous Sartrean approach, where the idea of being able to remake your essence is the most exciting and glamorous proposal. I'm with Nietzsche.
25. Social Practice / E. Policies / 5. Education / b. Education principles
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.
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
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.