Aristotle’s Cubes and Consequential Implication

Logica Universalis 2 (1):143-153 (2008)
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Abstract

.  It is shown that the properties of so-called consequential implication allow to construct more than one aristotelian square relating implicative sentences of the consequential kind. As a result, if an aristotelian cube is an object consisting of two distinct aristotelian squares and four distinct “semiaristotelian” squares sharing corner edges, it is shown that there is a plurality of such cubes, which may also result from the composition of cubes of lower complexity.

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Claudio Pizzi
Università degli Studi di Siena

References found in this work

Decision procedures for logics of consequential implication.Claudio Pizzi - 1991 - Notre Dame Journal of Formal Logic 32 (4):618-636.
Aristotle's Thesis between paraconsistency and modalization.Claudio Pizzi - 2005 - Journal of Applied Logic 3 (1):119-131.

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