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Ideas for 'fragments/reports', 'Sentences' and 'Introducing the Philosophy of Mathematics'

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6 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]

8709	The law of excluded middle is syntactic; it just says A or not-A, not whether they are true or false [Friend]

5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification

8711	Intuitionists read the universal quantifier as "we have a procedure for checking every..." [Friend]

5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / a. Set theory paradoxes

8675	Paradoxes can be solved by talking more loosely of 'classes' instead of 'sets' [Friend]

5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox

8674	The Burali-Forti paradox asks whether the set of all ordinals is itself an ordinal [Friend]