O Departamento de Filosofia da UFRN, através da Base de Pesquisa "Lógica,
Conhecimento e Ética", dá continuidade a sua programação anual dos
Seminários de Lógica e Filosofia Formal, juntamente com o Grupo de
Lógica, Linguagem, Informação, Teoria e Aplicações – LoLITA, com a
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Rota-Metropolis paraconsistent logic
Prof. Dr. Daniele Mundici
Department of Mathematics
University of Florence

Data:31/08/2012,  às 16h.
Local: UFRN, Setor II, sala B1


Abstract
'''''''''''''''''''''
A  classical result  states that  for  all   n>=5  the only two
possible order structures arising from the faces of regular (convex)
polyhedra in euclidean n-space  are those obtained from the faces of the
n-cube and the n-simplex under inclusion. While the n-simplex determines
the boolean algebra with 2^n elements, Rota and Metropolis observed that
the n-cube determines a three-valued counterpart of boolean logic.  We
will present cubic logic, with particular reference to its natural
paraconsistency properties.
G-C. Rota, N. Metropolis, Combinatorial structure of the faces of the
 n-cube, SIAM J. Applied Math.,  35 (1978), pp. 689-694.





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