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True and False: An Exchange

In André Chapuis & Anil Gupta (eds.), Circularity, Definition, and Truth. Indian Council of Philosophical Research. pp. 365-370 (2000)

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  1. Mirror notation: Symbol manipulation without inscription manipulation.Roy A. Sorensen - 1999 - Journal of Philosophical Logic 28 (2):141-164.
    Stereotypically, computation involves intrinsic changes to the medium of representation: writing new symbols, erasing old symbols, turning gears, flipping switches, sliding abacus beads. Perspectival computation leaves the original inscriptions untouched. The problem solver obtains the output by merely alters his orientation toward the input. There is no rewriting or copying of the input inscriptions; the output inscriptions are numerically identical to the input inscriptions. This suggests a loophole through some of the computational limits apparently imposed by physics. There can be (...)
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  • Paraconsistency in classical logic.Gabriele Pulcini & Achille C. Varzi - 2018 - Synthese 195 (12):5485-5496.
    Classical propositional logic can be characterized, indirectly, by means of a complementary formal system whose theorems are exactly those formulas that are not classical tautologies, i.e., contradictions and truth-functional contingencies. Since a formula is contingent if and only if its negation is also contingent, the system in question is paraconsistent. Hence classical propositional logic itself admits of a paraconsistent characterization, albeit “in the negative”. More generally, any decidable logic with a syntactically incomplete proof theory allows for a paraconsistent characterization of (...)
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