Combining Texts
Ideas for
'On Interpretation', 'Must We Believe in Set Theory?' and 'Meinong on Complexes and Assumptions'
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12 ideas
4. Formal Logic / A. Syllogistic Logic / 1. Aristotelian Logic
22272
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Aristotle's later logic had to treat 'Socrates' as 'everything that is Socrates' [Potter on Aristotle]
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9405
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Square of Opposition: not both true, or not both false; one-way implication; opposite truth-values [Aristotle]
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4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
9728
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Modal Square 1: □P and ¬◊¬P are 'contraries' of □¬P and ¬◊P [Aristotle, by Fitting/Mendelsohn]
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9729
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Modal Square 2: ¬□¬P and ◊P are 'subcontraries' of ¬□P and ◊¬P [Aristotle, by Fitting/Mendelsohn]
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9730
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Modal Square 3: □P and ¬◊¬P are 'contradictories' of ¬□P and ◊¬P [Aristotle, by Fitting/Mendelsohn]
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9731
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Modal Square 4: □¬P and ¬◊P are 'contradictories' of ¬□¬P and ◊P [Aristotle, by Fitting/Mendelsohn]
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9732
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Modal Square 5: □P and ¬◊¬P are 'subalternatives' of ¬□¬P and ◊P [Aristotle, by Fitting/Mendelsohn]
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9733
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Modal Square 6: □¬P and ¬◊P are 'subalternatives' of ¬□P and ◊¬P [Aristotle, by Fitting/Mendelsohn]
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4. Formal Logic / F. Set Theory ST / 1. Set Theory
10482
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The logic of ZF is classical first-order predicate logic with identity [Boolos]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
10492
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A few axioms of set theory 'force themselves on us', but most of them don't [Boolos]
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4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
10485
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Naïve sets are inconsistent: there is no set for things that do not belong to themselves [Boolos]
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4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
10484
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The iterative conception says sets are formed at stages; some are 'earlier', and must be formed first [Boolos]
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