more on this theme     |     more from this text


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 8 ideas from Charles Parsons

Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
General principles can be obvious in mathematics, but bold speculations in empirical science [Parsons,C]
Substitutional existential quantifier may explain the existence of linguistic entities [Parsons,C]
On the substitutional interpretation, '(∃x) Fx' is true iff a closed term 't' makes Ft true [Parsons,C]
Modal logic is not an extensional language [Parsons,C]
The old problems with the axiom of choice are probably better ascribed to the law of excluded middle [Parsons,C]
If a mathematical structure is rejected from a physical theory, it retains its mathematical status [Parsons,C]
If functions are transfinite objects, finitists can have no conception of them [Parsons,C]