Combining Philosophers
Ideas for Pythagoras, Max J. Cresswell and Saul A. Kripke
expand these ideas
|
start again
|
choose
another area for these philosophers
display all the ideas for this combination of philosophers
11 ideas
4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
10163
|
Propositional modal logic has been proved to be complete [Kripke, by Feferman/Feferman]
|
10559
|
Kripke's modal semantics presupposes certain facts about possible worlds [Kripke, by Zalta]
|
16985
|
Possible worlds allowed the application of set-theoretic models to modal logic [Kripke]
|
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / a. Systems of modal logic
10760
|
With possible worlds, S4 and S5 are sound and complete, but S1-S3 are not even sound [Kripke, by Rossberg]
|
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / b. System K
14970
|
Normal system K has five axioms and rules [Cresswell]
|
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / c. System D
14971
|
D is valid on every serial frame, but not where there are dead ends [Cresswell]
|
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / g. System S4
14972
|
S4 has 14 modalities, and always reduces to a maximum of three modal operators [Cresswell]
|
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5
14973
|
In S5 all the long complex modalities reduce to just three, and their negations [Cresswell]
|
4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
14976
|
Reject the Barcan if quantifiers are confined to worlds, and different things exist in other worlds [Cresswell]
|
16189
|
The variable domain approach to quantified modal logic invalidates the Barcan Formula [Kripke, by Simchen]
|
15132
|
The Barcan formulas fail in models with varying domains [Kripke, by Williamson]
|