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Arithmetic Starred

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Paraconsistency: Logic and Applications

Part of the book series: Logic, Epistemology, and the Unity of Science ((LEUS,volume 26))

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Abstract

This paper explores the role of the Routley Functor in providing a source of nontrivial inconsistent theories. It considers the result of applying it to classical Peano arithmetic, then surveys various further constructions obtained by combining starring and complementation.

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References

  • Meyer, R.K., R. Routley, and J.M. Dunn. 1979. Curry’s paradox. Analysis 39: 124–128.

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  • Routley, R., and V. Routley. 1972. The semantics of first degree entailment. Noûs 6: 335–359.

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Author information

Authors and Affiliations

  1. Department of Philosophy, The University of Adelaide, Adelaide, Australia

    Chris Mortensen

Authors
  1. Chris Mortensen
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Correspondence to Chris Mortensen .

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Editors and Affiliations

  1. , Department of Philosophy, University of Auckland, Arts 2, 18 Symonds Street, Auckland, 1142, New Zealand

    Koji Tanaka

  2. , Department of Philosophy, University of Aberdeen, King's College, High Street, Aberdeen, AB24 3UB, United Kingdom

    Francesco Berto

  3. , Department of Philosophy, Victoria University of Wellington, Murphy 518, Kelburn Parade, Wellington, New Zealand

    Edwin Mares

  4. , Department of Education, University of Cagliari, Via Is Mirrionis 1, Cagliari, 09123, Italy

    Francesco Paoli

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© 2013 Springer Science+Business Media Dordrecht.

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Mortensen, C. (2013). Arithmetic Starred. In: Tanaka, K., Berto, F., Mares, E., Paoli, F. (eds) Paraconsistency: Logic and Applications. Logic, Epistemology, and the Unity of Science, vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-4438-7_16

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