Combining Texts
Ideas for
'works', 'Goodbye Descartes' and 'Plurals and Complexes'
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8 ideas
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
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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
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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
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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 / j. Axiom of Choice IX
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10676
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The Axiom of Choice is a non-logical principle of set-theory [Hossack]
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10686
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The Axiom of Choice guarantees a one-one correspondence from sets to ordinals [Hossack]
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4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
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10687
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Maybe we reduce sets to ordinals, rather than the other way round [Hossack]
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4. Formal Logic / G. Formal Mereology / 1. Mereology
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13282
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Aristotle relativises the notion of wholeness to different measures [Aristotle, by Koslicki]
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4. Formal Logic / G. Formal Mereology / 3. Axioms of Mereology
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10677
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Extensional mereology needs two definitions and two axioms [Hossack]
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