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'fragments/reports', 'Introduction to Mathematical Logic' and 'Ways of Worldmaking'
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8 ideas
4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
17749
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Post proved the consistency of propositional logic in 1921 [Walicki]
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8077
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Stoic propositional logic is like chemistry - how atoms make molecules, not the innards of atoms [Chrysippus, by Devlin]
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17765
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Propositional language can only relate statements as the same or as different [Walicki]
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4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
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Chrysippus has five obvious 'indemonstrables' of reasoning [Chrysippus, by Diog. Laertius]
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4. Formal Logic / B. Propositional Logic PL / 3. Truth Tables
17764
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Boolean connectives are interpreted as functions on the set {1,0} [Walicki]
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4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
17752
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The empty set is useful for defining sets by properties, when the members are not yet known [Walicki]
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17753
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The empty set avoids having to take special precautions in case members vanish [Walicki]
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4. Formal Logic / F. Set Theory ST / 6. Ordering in Sets
17759
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Ordinals play the central role in set theory, providing the model of well-ordering [Walicki]
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