Combining Texts

Ideas for 'Axiomatic Theories of Truth (2005 ver)', 'Causality and Determinism' and 'Intensions Revisited'

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2 ideas

4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
13591 Quantified modal logic collapses if essence is withdrawn [Quine]
     Full Idea: The whole of quantified modal logic collapses if essence is withdrawn.
     From: Willard Quine (Intensions Revisited [1977], p.121)
     A reaction: Quine offers an interesting qualification to this crushing remark in Idea 13590. The point is that objects must retain their identity in modal contexts, as if I say 'John Kennedy might have been Richard Nixon'. What could that mean?
4. Formal Logic / F. Set Theory ST / 1. Set Theory
15657 To prove the consistency of set theory, we must go beyond set theory [Halbach]
     Full Idea: The consistency of set theory cannot be established without assumptions transcending set theory.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 2.1)