Journal of Philosophical Logic 28 (3):265-288 (1999)

Peter Schotch
Dalhousie University
Bryson Brown
University of Lethbridge
Paraconsistent logic is an area of philosophical logic that has yet to find acceptance from a wider audience. The area remains, in a word, disreputable. In this essay, we try to reassure potential consumers that it is not necessary to become a radical in order to use paraconsistent logic. According to the radicals, the problem is the absurd classical account of contradiction: Classically inconsistent sets explode only because bourgeois classical semantics holds, in the face of overwhelming evidence to the contrary, that both A and ∼ A cannot simultaneously be true! We suggest that there is, at least sometimes, something else worth preserving, even in an inconsistent, unsatisfiable premise set. In this paper we present, in a new guise, a very general version of this “preservationist” approach to paraconsistency.
Keywords adjunction  aggregation  colouring  graph  hypergraph  implication  inconsistency  paraconsistent logic
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Reprint years 2004
DOI 10.1023/A:1004365302825
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