Combining Texts

All the ideas for 'Chomsky on himself', 'What Numbers Are' and 'Probability and Logic of Rational Belief'

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4 ideas

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems

17813

Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers [White,NP]

5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / e. The Lottery paradox

6368	If my ticket won't win the lottery (and it won't), no other tickets will either [Kyburg, by Pollock/Cruz]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

17812

Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP]

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]