Combining Philosophers

Ideas for Stilpo, Max J. Cresswell and Frank P. Ramsey

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7 ideas

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]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V

13430

Infinity: there is an infinity of distinguishable individuals [Ramsey]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility

13428

Reducibility: to every non-elementary function there is an equivalent elementary function [Ramsey]