Dezaxa

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Hello Dezaxa, and Welcome to Wikipedia!

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Dezaxa, good luck, and have fun. --Aboutmovies (talk) 23:16, 4 July 2012 (UTC)

Cube of modal logics

I see you added a diagram of many of the most important modal logics to the modal logic article. I think such a visual aid is a good thing. Where did you get the diagram? I recognise most of it as the same as the 'cube' of modal logics presented in Hughes and Cresswell, but this diagram adds the provability logic K4W. — Charles Stewart (talk) 07:58, 21 January 2021 (UTC)

I created the diagram from scratch using Visio. It was inspired by a similar diagram in the SEP article on modal logic, but I think mine is better. It has arrows to show the containment relationship; it uses T rather than M for the modal logic that is K+T which I believe is more common; and it includes K4W. I decided to include K4W just because of its importance. In my copy of Hughes and Cresswell there is a much more detailed diagram on p367 in the chapter Axioms, Rules, Systems. I checked that my diagram is consistent with H&C, but I don't believe it is worth reproducing all of theirs because it includes many little-used logics. Dezaxa (talk) 10:55, 21 January 2021 (UTC)