Combining Philosophers
Ideas for Hermarchus, Augustine and Nathan Salmon
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11 ideas
4. Formal Logic / D. Modal Logic ML / 2. Tools of Modal Logic / b. Terminology of ML
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A world is 'accessible' to another iff the first is possible according to the second [Salmon,N]
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4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / d. System T
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For metaphysics, T may be the only correct system of modal logic [Salmon,N]
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4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / f. System B
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System B has not been justified as fallacy-free for reasoning on what might have been [Salmon,N]
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In B it seems logically possible to have both p true and p is necessarily possibly false [Salmon,N]
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System B implies that possibly-being-realized is an essential property of the world [Salmon,N]
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4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / g. System S4
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What is necessary is not always necessarily necessary, so S4 is fallacious [Salmon,N]
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4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5
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S4, and therefore S5, are invalid for metaphysical modality [Salmon,N, by Williamson]
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S5 modal logic ignores accessibility altogether [Salmon,N]
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S5 believers say that-things-might-have-been-that-way is essential to ways things might have been [Salmon,N]
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The unsatisfactory counterpart-theory allows the retention of S5 [Salmon,N]
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4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
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Metaphysical (alethic) modal logic concerns simple necessity and possibility (not physical, epistemic..) [Salmon,N]
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