Combining Texts

All the ideas for 'fragments/reports', 'The Scope and Language of Science' and 'The Theory of Transfinite Numbers'

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6 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
9616 A set is a collection into a whole of distinct objects of our intuition or thought [Cantor]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
15896 Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
8463 Maths can be reduced to logic and set theory [Quine]
8. Modes of Existence / B. Properties / 1. Nature of Properties
8461 The category of objects incorporates the old distinction of substances and their modes [Quine]
17. Mind and Body / E. Mind as Physical / 6. Conceptual Dualism
8462 A hallucination can, like an ague, be identified with its host; the ontology is physical, the idiom mental [Quine]
27. Natural Reality / G. Biology / 1. Biology
651 Eurytus showed that numbers underlie things by making pictures of creatures out of pebbles [Eurytus, by Aristotle]