Linked bibliography for the SEP article "Inconsistent Mathematics" by Chris Mortensen |
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If everything goes well, this page should display the bibliography of the aforementioned article as it appears in the Stanford Encyclopedia of Philosophy, but with links added to PhilPapers records and Google Scholar for your convenience. Some bibliographies are not going to be represented correctly or fully up to date. In general, bibliographies of recent works are going to be much better linked than bibliographies of primary literature and older works. Entries with PhilPapers records have links on their titles. A green link indicates that the item is available online at least partially.
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- Benham, R., C. Mortensen and G. Priest, forthcoming, “Chunk and Permeate III: The Dirac Delta Function”, Synthese. (Scholar)
- Brady, R., 1971, “The Consistency of the Axioms of Abstraction and Extensionality in a Three-Valued Logic”, Notre Dame Journal of Formal Logic, 12: 447–453. (Scholar)
- –––, 1989, “The Nontriviality of Dialectical Set Theory”, in G. Priest, R. Routley and J. Norman (eds.), Paraconsistent Logic, Munich: Philosophia Verlag. (Scholar)
- –––, 2006, Universal Logic, Stanford: CSLI Publications. (Scholar)
- Brown, B., and G. Priest, 2004, “Chunk and Permeate: A Paraconsistent Inference Strategy. Part I: The Infinitesimal Calculus”, The Journal of Philosophical Logic, 33: 379–388. (Scholar)
- Burgess, J., 1981, “Relevance, a Fallacy?”, Notre Dame Journal of Formal Logic, 22: 97–104. (Scholar)
- Da Costa, Newton C.A., 1974, “On the Theory of Inconsistent Formal Systems”, Notre Dame Journal of Formal Logic, 15: 497–510. (Scholar)
- –––, 2000, “Paraconsistent Mathematics”, in D. Batens et al. (eds.), Frontiers of Paraconsistent Logic, Hertfordshire: Research Studies Press, 165–180. (Scholar)
- Davies, E.B., 2005 “A Defence of Mathematical Pluralism ”, Philosophia Mathematica, 13: 252–276. (Scholar)
- Estrada-Gonzales, Luis, 2010, “Complement-Topoi and Dual Intuitionistic Logic”, Australasian Journal of Logic, 9: 26–44. (Scholar)
- Goodman, N., 1981, “The Logic of Contradictions”, Zeitschrift fur Mathematische Logic und Grundlagen der Arithmetik, 27: 119–126. (Scholar)
- Hatcher, W. S., 1982, The Logical Foundations of Mathematics, Oxford: Pergamon. (Scholar)
- Hellman, G. and J. Bell, 2006, “Pluralism and the Foundations of Mathematics”, in C.K. Waters et al. (eds.), Scientific Pluralism (Minnesota Studies in the Philosophy of Science, Volume XIX), Minneapolis: University of Minnesota Press. (Scholar)
- Kripke, S., 1975, “Outline of a Theory of Truth”, The Journal of Philosophy, 72: 690–716. (Scholar)
- McKubre-Jordens, M., and Zach Weber, 2012, “Real Analysis and Paraconsistent Logic”, Journal of Philosophical Logic, 41(5): 901–922. (Scholar)
- Meyer, R. K., 1976, “Relevant Arithmetic”, Bulletin of the Section of Logic of the Polish Academy of Sciences, 5: 133–137. (Scholar)
- Meyer, R. K. and C. Mortensen, 1984, “Inconsistent Models for Relevant Arithmetics”, The Journal of Symbolic Logic, 49: 917–929. (Scholar)
- Mortensen, C., 1983, “Reply to Burgess and to Read”, Notre Dame Journal of Formal Logic, 24: 35–40. (Scholar)
- –––, 1995, Inconsistent Mathematics, Kluwer Mathematics and Its Applications Series, Dordrecht: Kluwer. [Errata available online.] (Scholar)
- –––, 1997, “Peeking at the Impossible”, Notre Dame Journal of Formal Logic, 38: 527–534. (Scholar)
- –––, 2000, “Prospects for Inconsistency”, in D. Batens et al. (eds.), Frontiers of Paraconsistent Logic, London: Research Studies Press, 203–208. (Scholar)
- –––, 2002a, “Towards a Mathematics of Impossible Pictures”, in W. Carnielli, M. Coniglio and I. D'Ottaviano (eds.), Paraconsistency: The Logical Way to the Infinite, (Lecture Notes in Pure and Applied Mathematics, Volume 228), New York: Marcel Dekker, 445–454. (Scholar)
- –––, 2002b, “Paradoxes Inside and Outside Language”, Language and Communication, 22: 301–311. (Scholar)
- –––, 2006, “An Analysis of Inconsistent and Incomplete Necker Cubes”, Australasian Journal of Logic, 4: 216–225. (Scholar)
- –––, 2010, Inconsistent Geometry (Studies in Logic, No. 27), London: College Publications (King's College). (Scholar)
- Paris, J., and Pathmanathan, N., 2006, “A Note on Priest's Finite Arithmetics”, The Journal of Philosophical Logic, 35: 529–537. (Scholar)
- Paris, J., and Sirokofskich, A., 2008, “On LP-models of Arithmetic”, The Journal of Symbolic Logic, 73(1): 212–226. (Scholar)
- Priest, G., 1987, In Contradiction, Dordrecht: Nijhoff. (Scholar)
- –––, 1997, “Inconsistent Models for Arithmetic: I, Finite Models”, The Journal of Philosophical Logic, 26: 223–235. (Scholar)
- –––, 2000, “Inconsistent Models for Arithmetic: II, The General Case”, The Journal of Symbolic Logic, 65: 1519–29. (Scholar)
- –––, 2013, “ Mathematical Pluralism”, Logic Journal of IGPL, 21(1): 4 –13: doi:/10.1093/jzs018. (Scholar)
- Priest, G., R. Routley and J. Norman (eds.), 1989, Paraconsistent Logic, Munich: Philosophia Verlag. (Scholar)
- Restall, G., 2007, “Review of Brady Universal Logic”, Bulletin of Symbolic Logic, 13(4): 544–547. (Scholar)
- Robinson, A., 1974, Non-standard Analysis, Amsterdam: North-Holland, revised edition. (Scholar)
- Routley, R. and V. Routley, 1972, “The Semantics of First Degree Entailment”, Noûs, 6: 335–359. (Scholar)
- Weber, Z., 2012 “Transfinite Cardinals in Paraconsistent Set Theory”, Review of Symbolic Logic, 5(2): 269–293. (Scholar)
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