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All the ideas for '', 'Is Mathematics purely Linguistic?' and 'Beitrage'

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6 ideas

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 / C. Sources of Mathematics / 7. Formalism

21570

Numbers are just verbal conveniences, which can be analysed away [Russell]

18. Thought / E. Abstraction / 2. Abstracta by Selection

9145	We form the image of a cardinal number by a double abstraction, from the elements and from their order [Cantor]

19. Language / F. Communication / 3. Denial

11214

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