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Single Idea 9470

[filed under theme 4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic ]

Full Idea

Modal logic is not an extensional language.

Gist of Idea

Modal logic is not an extensional language

Source

Charles Parsons (A Plea for Substitutional Quantification [1971], p.159 n8)

Book Ref

'Philosophy of Logic: an anthology', ed/tr. Jacquette,Dale [Blackwell 2002], p.159


A Reaction

[I record this for investigation. Possible worlds seem to contain objects]


The 11 ideas with the same theme [inference from truths concerning necessity and possibility]:

There are three different deductions for actual terms, necessary terms and possible terms [Aristotle]
Modal logic is not an extensional language [Parsons,C]
For modality Lewis rejected boxes and diamonds, preferring worlds, and an index for the actual one [Lewis, by Stalnaker]
Metaphysical (alethic) modal logic concerns simple necessity and possibility (not physical, epistemic..) [Salmon,N]
The modal logic of C.I.Lewis was only interpreted by Kripke and Hintikka in the 1960s [Jacquette]
The main modal logics disagree over three key formulae [Yablo]
Modality affects content, because P→◊P is valid, but ◊P→P isn't [Fitting/Mendelsohn]
S4: 'poss that poss that p' implies 'poss that p'; S5: 'poss that nec that p' implies 'nec that p' [Orenstein]
Possible worlds logics use true-in-a-world rather than true [Girle]
Modal logic has four basic modal negation equivalences [Girle]
Modal logics were studied in terms of axioms, but now possible worlds semantics is added [Girle]