Combining Texts

Ideas for 'fragments/reports', 'On the Plurality of Worlds' and 'Remarks on axiomatised set theory'

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4 ideas

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 / G. Quantification / 6. Plural Quantification

15731

Quantification sometimes commits to 'sets', but sometimes just to pluralities (or 'classes') [Lewis]

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

17878

If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]