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Full Idea
The characteristic of B has the form φ⊃□◊φ. ...Even if these axioms are necessarily true, it seems logically possible for p to be true while the proposition that p is necessarily possible is at the same time false.
Gist of Idea
In B it seems logically possible to have both p true and p is necessarily possibly false
Source
Nathan Salmon (The Logic of What Might Have Been [1989], Intro)
Book Ref
Salmon,Nathan: 'Metaphysics, Mathematics and Meaning' [OUP 2005], p.130
Related Idea
Idea 14667 System B has not been justified as fallacy-free for reasoning on what might have been [Salmon,N]
14667 | System B has not been justified as fallacy-free for reasoning on what might have been [Salmon,N] |
14668 | In B it seems logically possible to have both p true and p is necessarily possibly false [Salmon,N] |
14692 | System B implies that possibly-being-realized is an essential property of the world [Salmon,N] |
9745 | The system B has the 'reflexive' and 'symmetric' conditions on its accessibility relation [Fitting/Mendelsohn] |
13711 | System B introduces iterated modalities [Sider] |