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Full Idea
With system B we begin to be able to say something about iterated modalities. ..S4 then takes a different stand on the iterated modalities, and neither is an extension of the other.
Gist of Idea
System B introduces iterated modalities
Source
Theodore Sider (Logic for Philosophy [2010], 6.4.4)
Book Ref
Sider,Theodore: 'Logic for Philosophy' [OUP 2010], p.168
Related Idea
Idea 13704 It is hard to say which are the logical truths in modal logic, especially for iterated modal operators [Sider]
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] |