Logica Universalis

, Volume 2, Issue 1, pp 143–153

Aristotle’s Cubes and Consequential Implication

Article

DOI: 10.1007/s11787-007-0020-0

Cite this article as:
Pizzi, C. Log. univers. (2008) 2: 143. doi:10.1007/s11787-007-0020-0

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.

Mathematics Subject Classification (2000).

03B45 

Keywords.

Aristotle modalities implication 

Copyright information

© Birkhaeuser 2008

Authors and Affiliations

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