Logica Universalis

, Volume 2, Issue 1, pp 143–153 | Cite as

Aristotle’s Cubes and Consequential Implication

  • Claudio PizziEmail author


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.

Mathematics Subject Classification (2000).



Aristotle modalities implication 


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Copyright information

© Birkhaeuser 2008

Authors and Affiliations

  1. 1.Dipartimento di Filosofia e Scienze SocialiUniversità di SienaSienaItaly

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