Meeting Hintikka's Challenge to Paraconsistentism

Principia: An International Journal of Epistemology 13 (3):283-297 (2009)
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Jaakko Hintikka, in a series of talks in Brazil in 2008, defended that IF logic and paraconsistent logic are, in a sense, very similar. Having sketched the proposal of a new paraconsistent system, he maintains that several achievements of IF logic could be reproducible in paraconsistent logic. One of the major difficulties, left as a challenge, would be to formulate some truth conditions for this new paraconsistent first-order language in order to make IF logic and paraconsistent logic more inter-related. My proposal is that this would demand an innovative game-theoretical semantic approach to paraconsistentism, but also that the syntax of the paraconsistent “Logics of Formal Inconsistency” can model the internal logic of Socratic elenchi. I aim to discuss these, and other points posed by Hintikka, as challenges and opportunities for paraconsistentism, paraconsistent logics and IF logics, as well as to raise some criticisms on Hintikka’s view about paraconsistency.

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Walter Carnielli
University of Campinas

Citations of this work

Towards Paraconsistent Inquiry.Can Baskent - 2016 - Australasian Journal of Logic 13 (2).

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References found in this work

The Principles of Mathematics Revisited.Jaakko Hintikka - 1996 - Cambridge University Press.
The Socratic Elenchus.Gregory Vlastos - 1982 - Journal of Philosophy 79 (11):711-714.
Compositional Semantics for a Language of Imperfect Information.W. Hodges - 1997 - Logic Journal of the IGPL 5 (4):539-563.
The Socratic Elenchus.Gregory Vlastos - 1999 - In Gail Fine (ed.), Plato 1: Metaphysics and Epistemology. Oxford University Press.

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