Combining Texts

Ideas for 'Parmenides', 'Intermediate Logic' and 'Letters to Bentley'

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5 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers

13152

We can talk of 'innumerable number', about the infinite points on a line [Newton]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite

13151

Not all infinites are equal [Newton]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / f. Mathematical induction

13358

Ordinary or mathematical induction assumes for the first, then always for the next, and hence for all [Bostock]

13359

Complete induction assumes for all numbers less than n, then also for n, and hence for all numbers [Bostock]

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism

16150

One is, so numbers exist, so endless numbers exist, and each one must partake of being [Plato]