Why ñot? Negation as incompatibility and non-deterministic matrices

  • Eliana Franceschini
Keywords: incompatibility, multivalued logic, negation, non-deterministic semantics

Abstract

The aim is to present a number of thoughts about the meaning of negation. I argue that the best characterization of this concept is grounded in the notion of incompatibility, which compels us to considerate negation as an exclusion-expressing device. I show that is possible to conceive negation in this way without having to accept, as Berto & Restall do, that it is a modal operator. For this I introduce algebraic non-deterministic matrices and explain how them allow us to model an exclusion-expressing device in the context of many-valued semantics, without having a negation that is not any more an extensional operator. 

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Published
2018-02-02
How to Cite
Franceschini, E. (2018). Why ñot? Negation as incompatibility and non-deterministic matrices. Cuadernos De filosofía, (70), 43-55. https://doi.org/10.34096/cf.n70.6501
Section
Discusión sobre Constantes lógicas (Eduardo Barrio, ed.)