Modal validity and the dispensability of the actuality operator

In Michal Dancak & Vit Punochar (eds.), The Logica Yearbook 2013. London, UK: (2014)
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In this paper, I claim that two ways of defining validity for modal languages (“real-world” and “general” validity), corresponding to distinction between a correct and an incorrect way of defining modal valid- ity, correspond instead to two substantive ways of conceiving modal truth. At the same time, I claim that the major logical manifestation of the real- world/general validity distinction in modal propositional languages with the actuality operator should not be taken seriously, but simply as a by-product of the way in which the semantics of such an operator is usually given.
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