Combining Texts

All the ideas for 'Chomsky on himself', 'What Numbers Are' and 'Essentials of Pragmatism'

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6 ideas

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers [White,NP]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP]
12. Knowledge Sources / D. Empiricism / 3. Pragmatism
Instead of seeking Truth, we should seek belief that is beyond doubt [Peirce]
18. Thought / D. Concepts / 2. Origin of Concepts / c. Nativist concepts
Chomsky now says concepts are basically innate, as well as syntax [Chomsky, by Lowe]
18. Thought / D. Concepts / 3. Ontology of Concepts / b. Concepts as abilities
A 'conception', the rational implication of a word, lies in its bearing upon the conduct of life [Peirce]
18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts
The definition of a concept is just its experimental implications [Peirce]