Combining Texts

All the ideas for 'The Logical Syntax of Language', 'Comments on a Certain Broadsheet' and 'works'

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7 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]

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

15941

For intuitionists excluded middle is an outdated historical convention [Brouwer]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy

18247

Brouwer saw reals as potential, not actual, and produced by a rule, or a choice [Brouwer, by Shapiro]

12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities

2602	What experience could prove 'If a=c and b=c then a=b'? [Descartes]

18. Thought / D. Concepts / 2. Origin of Concepts / c. Nativist concepts

2600	The mind's innate ideas are part of its capacity for thought [Descartes]

2601	Qualia must be innate, because physical motions do not contain them [Descartes]