Aristotle's cubes and consequential implication

Logica Universalis 2 (1):143-153 (2008)
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.
Keywords Aristotle  modalities  implication
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DOI 10.1007/s11787-007-0020-0
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