Abstract
In positive logic the negation of a propositionA is defined byA ⊃X whereX is some fixed proposition. A number of standard properties of negation, includingreductio ad absurdum, can then be proved, but not the law of noncontradiction so that this forms a paraconsistent logic. Various stronger paraconsistent logics are then generated by putting in particular propositions forX. These propositions range from true through contingent to false.
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References
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Bunder, M.W. Some definitions of negation leading to paraconsistent logics. Stud Logica 43, 75–78 (1984). https://doi.org/10.1007/BF00935741
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DOI: https://doi.org/10.1007/BF00935741