Combining Texts
Ideas for
'Mahaprajnaparamitashastra', 'The Foundations of Mathematics' and 'Modal Logic'
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7 ideas
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / b. System K
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Normal system K has five axioms and rules [Cresswell]
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4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / c. System D
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D is valid on every serial frame, but not where there are dead ends [Cresswell]
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4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / g. System S4
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S4 has 14 modalities, and always reduces to a maximum of three modal operators [Cresswell]
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4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5
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In S5 all the long complex modalities reduce to just three, and their negations [Cresswell]
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4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
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Reject the Barcan if quantifiers are confined to worlds, and different things exist in other worlds [Cresswell]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
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Infinity: there is an infinity of distinguishable individuals [Ramsey]
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4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
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Reducibility: to every non-elementary function there is an equivalent elementary function [Ramsey]
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