Combining Texts
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'fragments/reports', 'Goodbye Descartes' and 'On boundary numbers and domains of sets'
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5 ideas
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
8081
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'No councillors are bankers' and 'All bankers are athletes' implies 'Some athletes are not councillors' [Devlin]
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4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
8085
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Modern propositional inference replaces Aristotle's 19 syllogisms with modus ponens [Devlin]
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4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
8086
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Predicate logic retains the axioms of propositional logic [Devlin]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
17832
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Zermelo showed that the ZF axioms in 1930 were non-categorical [Zermelo, by Hallett,M]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII
13028
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Replacement was added when some advanced theorems seemed to need it [Zermelo, by Maddy]
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