Ideas of Max J. Cresswell, by Theme

[New Zealand, fl. 1968, At Victoria Univesity, Wellington, NZ.]

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4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / b. System K

14970

Normal system K has five axioms and rules

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

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

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

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

8. Modes of Existence / A. Relations / 4. Formal Relations / a. Types of relation

14974

A relation is 'Euclidean' if aRb and aRc imply bRc

10. Modality / A. Necessity / 4. De re / De dicto modality

14975

A de dicto necessity is true in all worlds, but not necessarily of the same thing in each world