Combining Texts

All the ideas for 'Action, Intention and Reason', 'The Logical Syntax of Language' and 'Elements of Intuitionism'

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5 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 / A. Nature of Mathematics / 5. The Infinite / c. Potential infinite

15938

Platonists ruin infinity, which is precisely a growing structure which is never completed [Dummett]

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism

15939

For intuitionists it is constructed proofs (which take time) which make statements true [Dummett]

20. Action / C. Motives for Action / 3. Acting on Reason / c. Reasons as causes

20064

Actions are not mere effects of reasons, but are under their control [Audi,R]