Modal Formulas True at Some Point in Every Model

  • Lloyd Humberstone Monash University


In a paper on the logical work of the Jains, Graham Priest considers a consequence relation, semantically characterized, which has a natural analogue in modal logic. Here we give a syntactic/axiomatic description of the modal formulas which are consequences of the empty set by this relation, which is to say: those formulas which are, for every model, true at some point in that model.


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Author Biography

Lloyd Humberstone, Monash University
How to Cite
HUMBERSTONE, Lloyd. Modal Formulas True at Some Point in Every Model. The Australasian Journal of Logic, [S.l.], v. 6, aug. 2008. ISSN 1448-5052. Available at: <>. Date accessed: 02 july 2020. doi: