Skip to main content
Log in

Logic of paradox revisited

  • Published:
Journal of Philosophical Logic Aims and scope Submit manuscript

Conclusion

If, to return to the image with which I started this paper we consider the path of papers written on the logical paradoxes, then there is much to be learnt from the more recent additions, those by Chihara, Dowden and Woodruff included. However, the case for the paraconsistent approach to the paradoxes has not been weakened. In fact, it seems to me to have been strengthened. If we consider the path of papers, not as a signle line, but branching according to the approach to the paradoxes advocated, then the “Logic of Paradox” would, I still submit, be on the right track.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Bibliography

  • Batens, D. L., ‘Dynamic Dialectical Logic’, in Priest and Routley (1984).

  • Belnap, N. and Dunn, M., ‘Entailment and the Disjunctive Syllogism’, in G. Fløistad (ed.), Contemporary Philosophy, Vol. 1, Nijhof, 1983.

  • Brady, R., ‘The Non-Triviality of Dialectical Set Theory’, in Priest and Routley (1984).

  • Chihara, C., ‘The Semantic Paradoxes; a Diagnostic Investigation’, Philosophical Review 88 (1979), 590–618.

    Google Scholar 

  • Chihara, C., ‘Priest, the Liar and Gödel’, Journal of Philosophical Logic 13 (1984), 117–124 (this issue).

    Google Scholar 

  • Church, A., Introduction to Mathematical Logic, Princeton U.P., 1956.

  • Dowden, B. H., ‘Accepting Inconsistencies from the Paradoxes’, Journal of Philosophical Logic 13, (1984), 125–130 (this issue).

    Google Scholar 

  • Dummentt, M., ‘Truth’, Proc. Aristotelean Society 59, (1958–9), 141–162. (Reprinted in Dummett (1978)).

    Google Scholar 

  • Dummett, M., ‘Wittgenstein's Philosophy of Mathematics’, Philosophical Review 68 (1959), 324–348. Reprinted in Dummett (1978).

    Google Scholar 

  • Dummett, M., ‘The Philosophical Significance of Gödel's Theorem’, Ratio 5 (1963), 140–155. Reprinted in Dummett (1978).

    Google Scholar 

  • Dummett, M., ‘The Philosophical Basis of Intuitionist Logic’ in Rose, H. and Shepherdson, J. (eds.), Logic Colloquium 73, North Holland, 1973. Reprinted in Dummett (1978).

  • Dummett, M., ‘Justification of Deduction’, Proc. British Academy LIX (1975), 201–232. Reprinted in Dummett (1978).

    Google Scholar 

  • Dummett, M., Truth and Other Enigmas, Duckworth, 1978.

  • Feferman, S., ‘Transfinite Recursive Progressions of Theories’, Journal of Symbolic Logic 27 (1962), 259–316.

    Google Scholar 

  • Gupta, A., ‘Truth and Paradox’, Journal of Philosophical Logic 11 (1982), 1–60.

    Google Scholar 

  • Kripke, S., ‘Outline of a Theory of Truth’, Journal of Philosophy 72 (1975), 690–716.

    Google Scholar 

  • Lakatos, I., ‘Infinite Regress in the Foundation of Mathematics’, Proc. Aristotelian Society Supplementary Volume 36, (1962), 155–184.

    Google Scholar 

  • Lakatos, I., ‘Falsification and the Methodology of Scientific Research Programs’, in Lakatos, I. and Musgrave, A. (eds.), Criticism and the Growth of Knowledge, Cambridge U.P., 1970.

  • Lakatos, I., Proofs and Refutations, Cambridge U.P., 1976.

  • Lucas, J. R., ‘Minds, Machines and Gödel’, Philosophy 36 (1961). Reprinted in Anderson, A. (ed.), Minds and Machines, Prentice Hall, 1964.

  • Łukaciewicz, J., ‘On the Principle of Contradiction in Aristotle’, Review of Metaphysics 24 (1971), 485–509.

    Google Scholar 

  • Meyer, R. K., ‘Relevant Arithmetic’, Bulletin of the Section of Logic, Polish Academy of Sciences 5 (4) (1976).

  • Priest, G., ‘Logic of Paradox’, Journal of Philosophical Logic 8 (1979), 219–241.

    Google Scholar 

  • Priest, G., ‘Sense, Entailment and Modus Ponens’, Journal of Philosophical Logic 9 (1980), 415–435.

    Google Scholar 

  • Priest, G., ‘To be and not to be: dialectical tense logic’, Studia Logica 41 (1981), 157–176.

    Google Scholar 

  • Priest, G. ‘Semantic Closure’, Studia Logica 43 (to appear) (1983).

  • Priest, G., ‘Classical Logic Aufgehoben’, (1984a) in Priest and Routley (1984).

  • Priest, G., ‘Reductio ad, Absurdum et Modus Tollendo Ponens’ (1984b), in Priest and Routley (1984).

  • Priest, G., ‘Unstable Solutions to the Liar Paradox’, in Bartlett, S. J. (ed.), Self-Reference, to appear (198+a).

  • Priest, G., ‘Hypercontradictions’, forthcoming (198+b).

  • Priest, G. and Crosthwaite, J., ‘Relevance, Truth and Meaning’, in Routley R. and Norman, J., Directions of Relevant Logic, forthcoming (198+).

  • Priest, G. and Routley, R., ‘Lessons from Pseudo-Scotus’, Philosophical Studies 42 (1982), 189–199.

    Google Scholar 

  • Priest, G. and Routley, R., On Paraconsistency, Research Report No. 13. Logic Group, Research School of Social Sciences, Australian National University, 1983. Reprinted in Priest and Routley (1984).

  • Priest, G. and Routley, R., Paraconsistent Logics, Philosophia-Verlag, forthcoming (1984).

  • Rescher, N. and Brandom, R., The Logic of Inconsistency, Blackwell, 1979.

  • Routley, R., ‘Ultralogic as Universal?’ (1977), printed as an appendix in Exploring Meinong's Jungle and Beyond, Research School of Social Sciences Australian National University, 1980.

  • Routley, R. et al., Relevant Logics and their Rivals, Ridgeview Publishers, 1984.

  • Wang, H., A Survey of Mathematical Logic, Science Press, 1962.

  • Wang, H., From Mathematics to Philosophy, Routledge and Kegan Paul, 1974.

  • Woodruff, P. W., ‘Paradox, Truth and Logic; Part 1’, Journal of Philosophical Logic 13 (1984), 213–232 (this issue).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Priest, G. Logic of paradox revisited. J Philos Logic 13, 153–179 (1984). https://doi.org/10.1007/BF00453020

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00453020

Keywords

Navigation