Combining Texts

All the ideas for 'Chomsky on himself', 'Grundlagen (Foundations of Theory of Manifolds)' and 'The Foundations of Mathematics (2nd ed)'

expand these ideas     |    start again     |     specify just one area for these texts

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4 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory

15946

Cantor developed sets from a progression into infinity by addition, multiplication and exponentiation [Cantor, by Lavine]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers

15911

Ordinals are generated by endless succession, followed by a limit ordinal [Cantor, by Lavine]

8. Modes of Existence / A. Relations / 4. Formal Relations / b. Equivalence relation

18465

An 'equivalence' relation is one which is reflexive, symmetric and transitive [Kunen]

18. Thought / D. Concepts / 2. Origin of Concepts / c. Nativist concepts

6649	Chomsky now says concepts are basically innate, as well as syntax [Chomsky, by Lowe]