Combining Texts

Ideas for 'Philosophy of Mathematics', 'Scientific Attitude and Fallibilism' and 'The Logical Syntax of Language'

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3 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 / J. Model Theory in Logic / 2. Isomorphisms

10884

A theory is 'categorical' if it has just one model up to isomorphism [Horsten]