Combining Texts

All the ideas for 'Mathematics without Numbers', 'The Logical Syntax of Language' and 'Introspection'

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8 ideas

5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
13342 Carnap defined consequence by contradiction, but this is unintuitive and changes with substitution [Tarski on Carnap]
5. Theory of Logic / C. Ontology of Logic / 4. Logic by Convention
13251 Each person is free to build their own logic, just by specifying a syntax [Carnap]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
8698 Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
9557 Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
10263 Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
12. Knowledge Sources / B. Perception / 8. Adverbial Theory
5691 The adverbial account of sensation says not 'see a red image' but be 'appeared to redly' [Shoemaker]
16. Persons / C. Self-Awareness / 1. Introspection
5687 For true introspection, must we be aware that we are aware of our mental events? [Shoemaker]
5688 Empirical foundationalism says basic knowledge is self-intimating, and incorrigible or infallible [Shoemaker]