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Ideas for 'fragments/reports', 'Introduction to the Philosophy of Mathematics' and 'Function and Concept'

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5 ideas

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

17924

Excluded middle says P or not-P; bivalence says P is either true or false [Colyvan]

5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic

8490	First-level functions have objects as arguments; second-level functions take functions as arguments [Frege]

5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic

8492	Relations are functions with two arguments [Frege]

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems

17929

Löwenheim proved his result for a first-order sentence, and Skolem generalised it [Colyvan]

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

17930

Axioms are 'categorical' if all of their models are isomorphic [Colyvan]