Combining Texts

Ideas for 'fragments/reports', 'Set Theory and Its Philosophy' and 'Making It Explicit'

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4 ideas

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic

10704

We can formalize second-order formation rules, but not inference rules [Potter]

5. Theory of Logic / B. Logical Consequence / 5. Modus Ponens

8078	Modus ponens is one of five inference rules identified by the Stoics [Chrysippus, by Devlin]

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

6023	Every proposition is either true or false [Chrysippus, by Cicero]

5. Theory of Logic / H. Proof Systems / 3. Proof from Assumptions

10703

Supposing axioms (rather than accepting them) give truths, but they are conditional [Potter]