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All the ideas for '', 'Syntactic Structure' and 'Universal Arithmetick'

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7 ideas

2. Reason / F. Fallacies / 8. Category Mistake / c. Category mistake as semantic

18009

Chomsky established the view that category mistakes are well-formed but meaningless [Chomsky, by Magidor]

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic

11211

If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt]

5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives

11210

Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt]

11212

The sense of a connective comes from primitively obvious rules of inference [Rumfitt]

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic

17783

A number is not a multitude, but a unified ratio between quantities [Newton]

19. Language / C. Assigning Meanings / 1. Syntax

18007

Syntax is independent of semantics; sentences can be well formed but meaningless [Chomsky, by Magidor]

19. Language / F. Communication / 3. Denial

11214

We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt]