{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,27]],"date-time":"2026-05-27T21:08:07Z","timestamp":1779916087813,"version":"3.53.1"},"reference-count":51,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2003,8,1]],"date-time":"2003-08-01T00:00:00Z","timestamp":1059696000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2003,8,1]],"date-time":"2003-08-01T00:00:00Z","timestamp":1059696000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Studia Logica"],"published-print":{"date-parts":[[2003,8]]},"DOI":"10.1023\/a:1025123418085","type":"journal-article","created":{"date-parts":[[2003,9,16]],"date-time":"2003-09-16T18:25:03Z","timestamp":1063736703000},"page":"441-468","source":"Crossref","is-referenced-by-count":15,"title":["On Alternative Geometries, Arithmetics, and Logics; a Tribute to \u0141ukasiewicz"],"prefix":"10.1007","volume":"74","author":[{"given":"Graham","family":"Priest","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","reference":[{"key":"5144717_CR1","unstructured":"Anderson, A., and N. Belnap, Entailment, Vol. I, Princeton University Press, 1975."},{"key":"5144717_CR2","doi-asserted-by":"crossref","first-page":"7","DOI":"10.1007\/BF02126733","volume":"8","author":"L. Borkowski","year":"1958","unstructured":"Borkowski, L., and J. S\u0141upecki, \u2018The Logical Works of J. \u0141ukasiewicz\u2019, Studia Logica 8 (1958), 7-56.","journal-title":"Studia Logica"},{"key":"5144717_CR3","unstructured":"Bell, E. T., Men of Mathematics, Pelican Books, 1953."},{"key":"5144717_CR4","unstructured":"Benacerraf, P., and H. Putnam, Philosophy of Mathematics; Selected Readings, Oxford University Press, 1964."},{"key":"5144717_CR5","first-page":"92","volume":"37","author":"H.-N. Casta\u00d1eda","year":"1959","unstructured":"Casta\u00d1eda, H.-N., \u2018Arithmetic and Reality\u2019, Australasian Journal of Philosophy 37 (1959), 92-107; reprinted in Benacerraf and Putnam (1964), 404\u201371.","journal-title":"Australasian Journal of Philosophy"},{"key":"5144717_CR6","doi-asserted-by":"crossref","unstructured":"Dancy, R. M., Sense and Contradiction: a Study in Aristotle, Reidel, 1975.","DOI":"10.1007\/978-94-010-9770-3"},{"key":"5144717_CR7","doi-asserted-by":"crossref","first-page":"567","DOI":"10.1093\/mind\/104.415.566","volume":"104","author":"N. Denyer","year":"1995","unstructured":"Denyer, N., \u2018Priest's Paraconsistent Arithmetic\u2019, Mind 104 (1995), 567-75.","journal-title":"Mind"},{"key":"5144717_CR8","unstructured":"Dummett, M., Elements of Intuitionism, Oxford University Press, 1977."},{"key":"5144717_CR9","unstructured":"Dummett, M., \u2018Is Logic Empirical?\u2019, ch. 16 of Truth and Other Enigmas, Duckworth, 1978."},{"key":"5144717_CR10","unstructured":"Etchemendy, J., The Concept of Logical Consequence, Harvard University Press, 1990."},{"key":"5144717_CR11","unstructured":"Feyerabend, P., Against Method, New Left Books, 1975."},{"key":"5144717_CR12","first-page":"97","volume":"18","author":"D. A. T. Gasking","year":"1940","unstructured":"Gasking, D. A. T., \u2018Mathematics and the World\u2019, Australasian Journal of Philosophy 18 (1940), 97-116; reprinted in Benacerraf and Putnam (1964), 390\u2013403.","journal-title":"Australasian Journal of Philosophy"},{"key":"5144717_CR13","doi-asserted-by":"crossref","first-page":"434","DOI":"10.1080\/00048400012349731","volume":"78","author":"L. Goddard","year":"2000","unstructured":"Goddard, L., \u2018The Inconsistency of Aristotelian Logic?\u2019, Australasian Journal of Philosophy 78 (2000), 434-7.","journal-title":"Australasian Journal of Philosophy"},{"key":"5144717_CR14","doi-asserted-by":"crossref","unstructured":"Goodstein, R. L., \u2018Multiple Successor Arithmetics\u2019, in J. Crossley and M. Dummett (eds.), Formal Systems and Recursive Functions, North Holland Publishing Company, 1965, 265-71.","DOI":"10.1016\/S0049-237X(08)71692-6"},{"key":"5144717_CR15","unstructured":"Gray, J. J., \u2018Euclidean and Non-Euclidean Geometry\u2019, sect. 7.4 of I. Grattan-Guiness (ed.), Companion Encyclopedia of the History and Philosophy of Mathematical Sciences, Routledge, 1994."},{"key":"5144717_CR16","unstructured":"Haack, S., Deviant Logic, Cambridge University Press, 1974."},{"key":"5144717_CR17","doi-asserted-by":"crossref","unstructured":"Hinckfuss, I., \u2018Instrumentalist Theories: Possibilities and Space and Time\u2019, in P. Riggs (ed.), Natural Kinds, Laws of Nature and Scientific Methodology, Kluwer Academic Publishers, 1996, 187-209.","DOI":"10.1007\/978-94-015-8607-8_11"},{"key":"5144717_CR18","unstructured":"Kneale, W., and M. Kneale, The Development of Logic, Oxford University Press, 1962."},{"key":"5144717_CR19","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1007\/BF02126734","volume":"8","author":"T. Kotarbi\u0143ski","year":"1958","unstructured":"Kotarbi\u0143ski, T., \u2018Jan \u0141ukasiewicz's Works on the History of Logic\u2019, Studia Logica 8 (1958), 57-62.","journal-title":"Studia Logica"},{"key":"5144717_CR20","unstructured":"Kuhn, T., The Structure of Scientific Revolutions, Chicago University Press, 1962."},{"key":"5144717_CR21","unstructured":"\u0141ukasiewicz, J., Aristotle's Syllogistic, Clarendon Press, 1957."},{"key":"5144717_CR22","first-page":"51","volume":"23","author":"J. \u0141ukasiewicz","year":"1930","unstructured":"\u0141ukasiewicz, J., \u2018Philosophische Bemargungen zu Mehrwertigen des Aussagenkalk\u00fcls\u2019, Comptes Rendus des S\u00e9ances de la Societ\u00e9 des Sciences et des Lettres de Varsovie, Cl. iii, 23 (1930), 51-77, translated into English as \u2018Philosophical Remarks on the Many-Valued Systems of Propositional Logic\u2019, ch. 3 of McCall (1967).","journal-title":"Comptes Rendus des S\u00e9ances de la Societ\u00e9 des Sciences et des Lettres de Varsovie"},{"key":"5144717_CR23","unstructured":"McCall, S., Polish Logic 1920\u20131939, Oxford University Press, 1967."},{"key":"5144717_CR24","doi-asserted-by":"crossref","unstructured":"Mortensen, C., Inconsistent Mathematics, Kluwer Academic Publishers, 1995.","DOI":"10.1007\/978-94-015-8453-1"},{"key":"5144717_CR25","unstructured":"Nerlich, G., The Shape of Space, Cambridge University Press, 1976."},{"key":"5144717_CR26","unstructured":"Poincar\u00c9, H., La Science et L'Hypoth\u00e8se, Paris: Ernest Flammmarian (no date); translated into English as Science and Hypothesis, Dover Publications, 1952."},{"key":"5144717_CR27","doi-asserted-by":"crossref","first-page":"289","DOI":"10.2307\/2219445","volume":"29","author":"G. Priest","year":"1979","unstructured":"Priest, G., \u2018Two Dogmas of Quineanism\u2019, Philosophical Quarterly 29 (1979), 289-301.","journal-title":"Philosophical Quarterly"},{"key":"5144717_CR28","doi-asserted-by":"crossref","unstructured":"Priest, G., In Contradiction, Martinus Nijhoff, 1987.","DOI":"10.1007\/978-94-009-3687-4"},{"key":"5144717_CR29","doi-asserted-by":"crossref","unstructured":"Priest, G., \u2018Classical Logic Aufgehoben\u2019, ch. 4 of G. Priest, R. Routley and J. Norman (eds.), Paraconsistent Logic: Essays on the Inconsistent, Philosophia Verlag, 1989.","DOI":"10.2307\/j.ctv2x8v8c7"},{"key":"5144717_CR30","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1093\/mind\/103.411.337","volume":"103","author":"G. Priest","year":"1994","unstructured":"Priest, G., \u2018Is Arithmetic Consistent?\u2019, Mind 103 (1994), 337-49.","journal-title":"Mind"},{"key":"5144717_CR31","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1080\/00455091.1995.10717416","volume":"25","author":"G. Priest","year":"1995","unstructured":"Priest, G., \u2018Etchemendy and the Concept of Logical Validity\u2019, Canadian Journal of Philosophy 25 (1995), 283-92.","journal-title":"Canadian Journal of Philosophy"},{"key":"5144717_CR32","doi-asserted-by":"crossref","first-page":"649","DOI":"10.1093\/mind\/105.420.649","volume":"105","author":"G. Priest","year":"1996","unstructured":"Priest, G., \u2018On Inconsistent Arithmetics: Reply to Denyer\u2019, Mind 105 (1996), 649-59.","journal-title":"Mind"},{"key":"5144717_CR33","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1023\/A:1004251506208","volume":"26","author":"G. Priest","year":"1997","unstructured":"Priest, G., \u2018Inconsistent Models of Arithmetic; I Finite Models\u2019, Journal of Philosophical Logic 26 (1997), 223-35.","journal-title":"Journal of Philosophical Logic"},{"key":"5144717_CR34","doi-asserted-by":"crossref","unstructured":"Priest, G., \u2018What not? A Defence of a Dialetheic Account of Negation\u2019, in D. Gabbay and H. Wansing (eds.), What is Negation?, Kluwer Academic Publishers, 1999.","DOI":"10.1007\/978-94-015-9309-0_6"},{"key":"5144717_CR35","doi-asserted-by":"crossref","first-page":"1519","DOI":"10.2307\/2695062","volume":"65","author":"G. Priest","year":"2000","unstructured":"Priest, G., \u2018Inconsistent Models of Arithmetic; II, the General Case\u2019, Journal of Symbolic Logic 65 (2000), 1519-29.","journal-title":"Journal of Symbolic Logic"},{"key":"5144717_CR36","unstructured":"Prior, A., \u2018Logic, Traditional\u2019, in P. Edwards (ed.), Encyclopedia of Philosophy, Collier-MacMillan, 1967."},{"key":"5144717_CR37","doi-asserted-by":"crossref","first-page":"658","DOI":"10.2307\/2023596","volume":"59","author":"H. Putnam","year":"1962","unstructured":"Putnam, H., \u2018It Ain't Necessarily So\u2019, Journal of Philosophy 59 (1962), 658-71; reprinted as ch. 15 of Putnam (1975).","journal-title":"Journal of Philosophy"},{"key":"#cr-split#-5144717_CR38.1","doi-asserted-by":"crossref","unstructured":"Putnam, H., 'Is Logic Empirical?', in R. Cohen and M. Wartofsky (eds.), Boston Studies in the Philosophy of Science, Vol. V, Reidel, 1969","DOI":"10.1007\/978-94-010-3381-7_5"},{"key":"#cr-split#-5144717_CR38.2","unstructured":"reprinted under the title 'The Logic of Quantum Mechanics' as ch. 10 of Putnam (1975)."},{"key":"5144717_CR39","unstructured":"Putnam, H., Mathematics, Matter and Method; Philosophical Papers, Vol. I, Cambridge University Press, 1975."},{"key":"5144717_CR40","doi-asserted-by":"crossref","first-page":"20","DOI":"10.2307\/2181906","volume":"60","author":"W. V. Quine","year":"1951","unstructured":"Quine, W. V., \u2018Two Dogmas of Empiricism\u2019, Philosophical Review 60 (1951), 20-43; reprinted in From a Logical Point of View, Harvard University Press, 1953.","journal-title":"Philosophical Review"},{"key":"5144717_CR41","unstructured":"Quine, W. V., Word and Object, MIT Press, 1960."},{"key":"5144717_CR42","unstructured":"Quine, W. V., Philosophy of Logic, Prentice Hall, 1970."},{"key":"5144717_CR43","doi-asserted-by":"crossref","unstructured":"Rescher, N., Many-Valued Logic, McGraw Hill, 1969.","DOI":"10.1007\/978-94-017-3546-9_6"},{"key":"5144717_CR44","unstructured":"Ryle, G., \u2018Formal and Informal Logic\u2019, ch. 8 of Dilemmas, Cambridge University Press, 1954."},{"key":"5144717_CR45","doi-asserted-by":"crossref","first-page":"451","DOI":"10.1007\/BF01048355","volume":"24","author":"B. H. Slater","year":"1995","unstructured":"Slater, B. H., \u2018Paraconsisent Logic?\u2019, Journal of Philosophical Logic 24 (1995), 451-4.","journal-title":"Journal of Philosophical Logic"},{"key":"5144717_CR46","doi-asserted-by":"crossref","first-page":"3","DOI":"10.5840\/philstudies1956602","volume":"6","author":"B. Soboci\u0143ski","year":"1956","unstructured":"Soboci\u0143ski, B., \u2018In Memoriam Jan \u0141ukasiewicz\u2019, Philosophical Studies (Dublin) 6 (1956), 3-49.","journal-title":"Philosophical Studies"},{"key":"5144717_CR47","unstructured":"Strawson, P., Introduction to Logical Theory, Methuen and Co., 1952."},{"key":"5144717_CR48","unstructured":"Tarski, A., \u2018On the Concept of Logical Consequence\u2019, ch. 14 of Logic, Semantics and Metamathematics, Oxford University Press, 1956."},{"key":"5144717_CR49","unstructured":"Van Bendegem, J.-P., Finite, Empirical Mathematics; Outline of a Model, Rijksuniversiteit Gent, 1987."},{"key":"5144717_CR50","unstructured":"Wright, C., Frege's Conception of Numbers as Objects, Aberdeen University Press, 1983."}],"container-title":["Studia Logica"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1025123418085.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1025123418085\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1025123418085.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,8,8]],"date-time":"2025-08-08T05:13:12Z","timestamp":1754629992000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1025123418085"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,8]]},"references-count":51,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2003,8]]}},"alternative-id":["5144717"],"URL":"https:\/\/doi.org\/10.1023\/a:1025123418085","relation":{},"ISSN":["0039-3215","1572-8730"],"issn-type":[{"value":"0039-3215","type":"print"},{"value":"1572-8730","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,8]]}}}