The logic of paradox

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  1. Anderson, A. R. and Belnap, N. D., Entailment, Princeton U.P. (1975).

  2. AsenjoF. G., ‘A Calculus of Antinomies’, Notre Dame Journal of Formal Logic XV (1966), 497–509, VII, 103–105.

    Google Scholar 

  3. CurryH. B., ‘The Inconsistency of Certain Formal Logics’, Journal of Symbolic Logic 7 (1942), 115–117.

    Google Scholar 

  4. daCostaN., ‘On the Theory of Inconsistent Formal Systems’, Notre Dame Journal of Formal Logic XV (1974), 497–509.

    Google Scholar 

  5. DunnJ. M., ‘Intuitive Semantics for First-Degree Entailments, and “Coupled Trees”’, Philosophical Studies 29 (1976), 149–168.

    Google Scholar 

  6. vanFraassenB., ‘Presupposition Implication and Self Reference’, Journal of Philosophy 65 (1968), 136–52.

    Google Scholar 

  7. FraenkelA., Bar HillelY. and LevyA., Foundations of Set Theory, North Holland, Amsterdam, 1973.

    Google Scholar 

  8. GödelK., ‘What is Cantor's Continuum Problem’, American Mathematical Monthly 54 (1947), 515–25. Reprinted in P. Benacerraf and H. Putnam (eds.), Philosophy of Mathematics, Blackwell, 1964.

    Google Scholar 

  9. Hilbert, D. and Bernays, P., Grundlagen der Mathematik Vol. II, Springer Verlag, 1939.

  10. KleeneS. C., Metamathematics, North Holland, Amsterdam, 1952.

    Google Scholar 

  11. Lukasiewicz, J., ‘On 3-valued Logic’ (1920) in S. McCall Polish Logic, Oxford U.P., 1967.

  12. Priest, G., ‘Type Theory in which Variables Range Over Predicates’, Ph.D. thesis, University of London, 1974.

  13. Routley, R., ‘Ultralogic as Universal’, Relevance Logic Newsletter 2 (1977).

  14. RoutleyR. and RoutleyV., ‘The Semantics of First Degree Entailment’, Nous VI (1972), 335–359.

    Google Scholar 

  15. TarskiA., ‘Der Wahrheitsbegriff in den formalisierten Sprachen’, Studia Philosophica 1 (1936), 266–405. Reprinted in English in Logic Semantics and Metamathematics, Oxford U.P., 1956.

    Google Scholar 

  16. TarskiA., ‘The Semantic Conception of Truth and the Foundations of Semantics’, Philosophy and Phenomological Research 4 (1944), 341–376. Reprinted in L. Linsky (ed.), Semantics and the Philosophy of Language, University of Illinois, 1952.

    Google Scholar 

  17. Wittgenstein, L., Philosophical Remarks, Blackwell, 1964.

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Priest, G. The logic of paradox. J Philos Logic 8, 219–241 (1979).

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