Ideas from 'The Logic of Infinity' by Henri Poincaré [1909], by Theme Structure

green numbers give full details    |     back to texts     |     unexpand this idea


6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
Avoid non-predicative classifications and definitions
                        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