Newton da Costa and the school of Curitiba

• Autor(a) principal: Micali,Artibano
• Data de Publicação: 2011
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Manuscrito (Online)
• Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0100-60452011000100002
• topic: School of Curitiba; Paraconsistent logic; Theory of quasigroups; Cardoso quasigroups; Irrationality; CRAS (Comptes Rendus de l'Académie des Sciences de Paris)

This paper intends to report on the beginning of the publications of Newton da Costa outside Brazil. Two mathematicians played an important role in this beginning: Marcel Guillaume from the University of Clermont-Ferrand and Paul Dedecker from the Universities of Lille and Liège. At the same time we recall the role played by Newton da Costa and Jayme Machado Cardoso in the development of what we call here the School of Curitiba [Escola de Curitiba]. Paraconsistent logic was initiated in this school under the influence of Newton da Costa. As another contribution of this school we mention the development of the theory of quasigroups; Jayme Machado Cardoso's name has been given, by Sade, to some particular objects which are now called Cardoso quasigroups.