References
Routley, R., and Meyer, R. K., ‘Dialectical logic, classical logic, and the consistency of the world’, Studies in Soviet Thought 16 (1976), 1–25.
Anderson, A. R., and Belnap, N. D., Jr., Entailment. The Logic of Relevance and Necessity. Volume 1, Princeton University Press, 1975.
Routley, R., Routley, V., and Meyer, R. K., Relevant Logics and Their Rivals. Research School of Social Sciences, Australian National University, 1980.
Jaśkowski, S., ‘The propositional calculus for contradictory deductive systems’, Studia Logica 24 (1969), 143–157.
da Costa, N. C. A., ‘On the theory of inconsistent formal systems’, Notre Dame Journal of Formal Logic 15 (1974), 497–510.
Apostel, L., ‘Logique et dialectique’, unpublished monograph.
Asenjo, F. G., and Tamburino, J., ‘Logic of antinomies’, Notre Dame Journal of Formal Logic 16 (1975), 17–44.
Priest, G., ‘The logic of paradox’, Journal of Philosophical Logic 8 (1979), 219–241.
Goddard, L., and Routley, R., The Logic of Significance and Context. Volume 1, Scottish Academic Press, Edinburgh, 1973.
Maydole, R. E., ‘Paradoxes and many-valued set theory’, Journal of Philosophical Logic 4 (1975), 269–291.
Routley, R., Ultralogic as Universal, in the Relevance Logic Newsletter, 2 (1977), 50–90 and 138–175.
Eliot, T. S., Collected Poems 1909–1962, Faber, London, 1963.
Routley, R. and Routley, V., ‘The role of inconsistent and incomplete theories in the logic of belief’, Communication and Cognition 8 (1975), 185–235.
Tarski, A., Logic, Semantics, Metamathematics, Clarendon, Oxford (1956).
Quine, W. V., From a Logical Point of View, Revised edition, Harvard University Press, 1961.
Tarski, A., ‘The semantic conception of truth and the foundations of semantics’, Philosophy and Phenomenological Research 4 (1944), 341–376; reprinted in H. Feigl and W. Sellars (eds.) Readings in Philosophical Analysis, Appleton-Century-Crofts, New York, 1944, 52–84. Page references are to this reprint.
Kleene, S. C., Introduction to Metamathematics, North-Holland, Amsterdam, 1952.
Goddard, L., and Routley, R., ‘Use, mention and quotation’, Australasian Journal of Philosophy 44 (1966), 1–49.
Gödel, K., On Formally Undecidable Propositions of Principia Mathematica and Related Systems (translated by b. Meltzer with an introduction by R. B. Braithwaite), Oliver and Boyd, Edinburgh, 1962.
Routley, R., ‘Conditions under which Gödel's incompleteness theorem is valid’, paper read at Australian Association for Logic Conference (1966).
Petrov, S., ‘Hegel's thesis of contradictory truths’, paper presented at the Hegel Congress (1974).
Arruda, A. I., and da Costa, N. C. A., ‘O paradoxo de Curry-Moh-Shaw-Kwei’, Boletim da Sociedade de Matemática da São Paulo 18 (1963).
Routley, R., and Loparić, A., ‘Semantical analysis of Arruda-da Costa P systems and adjacent non-replacement systems’, Studia Logica 37 (1978), 301–320.
Routley, R., ‘Meaning as semantical superstructure: a universal theory of meaning, truth and denotation?’, Philosophica 19 (1977), 33–68.
Carnap, R., Meaning and Necessity, Second enlarged edition, University of Chicago Press (1956).
Routley, R., ‘What numbers are’, Logique et Analyse 8 (1965), 196–208.
Martin, R. L., and Woodruff, P. W., ‘On representing ‘true-in-L’ in L’ in Language in Focus (edited A. Kasher). Reidel, Dordrecht-Holland, 1976.
Mendelson, E., Introduction to Mathematics Logic, van Nostrand, Princeton N.J., 1964.
Davis, C., ‘Some semantically closed languages’, inProblems in Logic and Ontology (ed. E. Morscher, J. Czermak, and P. Weingartner), Akademische Druck-u. Verlagsanstalt, Graz, 1977, 63–74.
Rights and permissions
About this article
Cite this article
Routley, R. Dialectical logic, semantics and metamathematics. Erkenntnis 14, 301–331 (1979). https://doi.org/10.1007/BF00174897
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00174897