Logical Squares for Classical Logic Sentences

Logica Universalis 10 (2-3):293-312 (2016)
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Abstract

In this paper, with reference to relationships of the traditional square of opposition, we establish all the relations of the square of opposition between complex sentences built from the 16 binary and four unary propositional connectives of the classical propositional calculus. We illustrate them by means of many squares of opposition and, corresponding to them—octagons, hexagons or other geometrical objects.

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10.1007/s11787-016-0148-x

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Citations of this work

Between Square and Hexagon in Oresme’s Livre du Ciel et du Monde.Lorenz Demey - 2019 - History and Philosophy of Logic 41 (1):36-47.
The Vatican Square.Jean-Yves Beziau & Raffaela Giovagnoli - 2016 - Logica Universalis 10 (2-3):135-141.

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References found in this work

Logical Geometries and Information in the Square of Oppositions.Hans5 Smessaert & Lorenz6 Demey - 2014 - Journal of Logic, Language and Information 23 (4):527-565.
On the 3d visualisation of logical relations.Hans Smessaert - 2009 - Logica Universalis 3 (2):303-332.
The theory of quaternality.W. H. Gottschalk - 1953 - Journal of Symbolic Logic 18 (3):193-196.

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