Books about modal logic?

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I've just approached modal logic reading "An Introduction to Non-Classical Logic" of Graham Priest.

I am looking for some books that treat this argument in a more extensive way than the book I am reading. I am especially interested in the philosophical side of modal logic.

Can you suggest me some books?

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Here are a few recommendations for you, all with an emphasis on the philosophical aspects of modal logic:

"Modal Logic for Philosophers" (Garson, 2006).

"Modal Logics and Philosophy" (Girle, 2000).

"Handbook of Philosophical Logic, Volume 14" (Gabbay and Geunthener eds, 2007).

"Modal Logic: An Introduction to Its Syntax and Semantics" (Cocchiarella and Freund, 2008)

I hope these help.

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I personally learned modal logic from Chellas's Modal Logic: An Introduction, but a more modern treatment in-line with current interests in modal logic is van Benthem's Modal Logic for Open Minds. Other good introductions include Modal Logic: An Introduction to its Syntax and Semantics, Cresswell & Hughes's A New Introduction to Modal Logic, and Beall & van Fraassen's Possibilities and Paradox: An Introduction to Modal and Many-Valued Logic. Also, take a look at the SEP article on Modal Logic (SEP is in general a great place to skim through the bibliographies for references on various philosophical topics, including philosophical and mathematical logic).