A constructive negation defined with a negation connective for logics including Bp+

Bulletin of the Section of Logic 34 (3):177-190 (2005)
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Abstract

The concept of constructive negation we refer to in this paper is (minimally) intuitionistic in character (see [1]). The idea is to understand the negation of a proposition A as equivalent to A implying a falsity constant of some sort. Then, negation is introduced either by means of this falsity constant or, as in this paper, by means of a propositional connective defined with the constant. But, unlike intuitionisitc logic, the type of negation we develop here is, of course, devoid of paradoxes of relevance.

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Author Profiles

Gemma Robles
Universidad de León
José M. Méndez
Universidad de Salamanca
Francisco Salto
Universidad de León

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