Three Approaches to Logical Correctness
DOI:
https://doi.org/10.12775/LLP.2024.013Keywords
Carnap, logical correctness, logical pluralism, logical realismAbstract
This paper outlines three broad ways one might think about logical correctness: the Realist approach, the One-Language approach and my own Neo-Carnapian view. Although the realist and one-language views have dominated the philosophy of logic in recent years, I argue against them, favouring of the Neo-Carnapian approach.
References
Ahmed, A., 2007. Saul Kripke. London: Bloomsbury Academic.
Armstrong, D. M., 1997. A World of States of Affairs. Cambridge University Press, Cambridge.
Ayer, A. J., 1936. Language, Truth and Logic. London: V. Gollancz.
Basu, R., and M. Schroeder, 2019. Doxastic wronging. Pages 181–205 in B. Kim and M. McGrath, editors, Pragmatic Encroachment in Epistemology. Routledge.
Beall, J., and G. Restall, 2005. Logical Pluralism. Oxford, England: Oxford University Press.
Belleri, D., 2021. Downplaying the change of subject objection to conceptual engineering. Inquiry: An Interdisciplinary Journal of Philosophy.
Belnap, N. D., 1962. Tonk, plonk and plink. Analysis, 23: 130–134.
Benacerraf, P., 1965. What numbers could not be. Philosophical Review, 74(1): 47–73.
Benacerraf, P., 1973. Mathematical truth. Journal of Philosophy, 70(19): 661–679.
Blake-Turner, C., and G. Russell, 2021. Logical pluralism without the normativity. Synthese, 198 (Suppl 20): 4859–4877.
Burgess, J., and G. Rosen, 1997. A Subject with No Object: Strategies for Nominalistic Interpretation of Mathematics. Oxford University Press, Oxford.
Cappelen, H., (2018). Fixing Language: An Essay on Conceptual Engineering. Oxford: Oxford University Press.
Carnap, R., 1934. Logische Syntax der Sprache. Springer, Vienna. Translated into English 1937 by Amethe Smeaton under the title ‘Logical Syntax of Language, Routledge, London.
Carnap, R., 1950. Empiricism, Semantics, and Ontology. Bobbs-Merrill.
Cook, R. T., 2010. Let a thousand flowers bloom: A tour of logical pluralism. Philosophy Compass, 5(6): 492–504.
Cook, R. T., 2023. Perspectival logical pluralism. Res Philosophica, 100(2): 171–202.
Dummett, M., 1991. The Logical Basis of Metaphysics. Cambridge, Mass.: Harvard University Press.
Field, H. H., 2001. Truth and the Absence of Fact. New York: Oxford University Press.
Frege, G., 1879. Begriffsschrift: Eine der Arithmetischen Nachgebildete Formelsprache des Reinen Denkens. Halle a.d.S.: Louis Nebert.
Frege, G., 1893. Grundgesetze der Arithmetik. Hildesheim: G.Olms.
Gibbins, P., 1987. Particles and Paradoxes: The Limits of Quantum Logic. New York: Cambridge University Press.
Griffiths, O., and A. C. Paseau, 2022. One True Logic: A Monist Manifesto. Oxford University Press.
Haack, S., 1978. Philosophy of Logics. Cambridge University Press, London and New York.
Halbach, V., 2010. The Logic Manual. New York: Oxford University Press.
Hjortland, O. T., 2017. Anti-exceptionalism about logic. Philosophical Studies, 174(3): 631–658.
Hjortland, O. T., 2019a. Anti-exceptionalism about logic. Australasian Journal of Logic, 16(7): 186.
Hjortland, O. T., 2019b. What counts as evidence for a logical theory? Australasian Journal of Logic, 16(7): 250–282.
James, W., 1896. The will to believe. Pages 1–15 in S. M. Cahn, editor, The Will to Believe: And Other Essays in Popular Philosophy. New York: Longmans, Green, and Co.
Keskinen, A., 2012. Quine on objects: Realism or anti-realism? Theoria, 78: 128–145.
Kim, B., and M. McGrath, 2019. Pragmatic Encroachment in Epistemology. New York: Routledge.
Kissel, T. K., 2023. Carnap as a Beall-style logical monist. Asian Journal of Philosophy, 2(1): 1–16.
Korsgaard, C. M., 1996. The Sources of Normativity. New York: Cambridge University Press.
Kripke, S., 1980. Naming and necessity. Philosophy, 56(217): 431–433.
Lange, M., 2016. Because Without Cause: Non-Causal Explanations in Science and Mathematics. Oxford, England: Oxford University Press USA.
Leng, M., 2021. Models, structures, and the explanatory role of mathematics in empirical science. Synthese, 199(3-4): 10415–10440.
Lewis, D. K., 1986. On the Plurality of Worlds. Malden, Mass.: Wiley-Blackwell.
Lewis, D. K., 1998. Papers in Philosophical Logic. New York: Cambridge University Press.
Liggins, D., 2006. Is there a good epistemological argument against platonism? Analysis, 66(2): 135–141.
Linnebo, O., 2006. Epistemological challenges to mathematical platonism. Philosophical Studies, 129(3): 545–574.
Maddy, P., 2007. Second Philosophy: A Naturalistic Method. New York: Oxford University Press.
Maddy, P., (2012). The philosophy of logic. Bulletin of Symbolic Logic, 18(4): 481–504.
Marschall, B., 2023. Carnap and the a priori. European Journal of Philosophy.
Martin, B., and O. Hjortland, 2020. Logical predictivism. Journal of Philosophical Logic, 50(2): 285–318.
McSweeney, M. M., 2018. Logical realism and the metaphysics of logic. Philosophy Compass, 14(1): e12563.
McSweeney, M. M., 2019. Following logical realism where it leads. Philosophical Studies, 176(1): 117–139.
Pedersen, N. J. L. L., 2014. Pluralism × 3: Truth, logic, metaphysics. Erkenntnis, 79(S2): 259–277.
Peterson, C., and J. Samuel, 2021. The right and the wren. Pages 81–103 in Shoemaker, D., editor, Oxford Studies in Agency and Responsibility 7. Oxford University Press.
Priest, G., 1987. In Contradiction: A Study of the Transconsistent. New York: Oxford University Press.
Priest, G., 2006. Doubt Truth to Be a Liar. New York: Oxford University Press.
Priest, G., 2008. An Introduction to Non-Classical Logic: From If to Is. New York: Cambridge University Press.
Priest, G., 2010. Logic: A Brief Insight. Sterling.
Priest, G., 2014. Revising logic, page 211–223. Cambridge University Press.
Priest, G., 2016. Logical disputes and the a priori. Logique et Analyse, 236: 347–366.
Prior, A. N., 1960. The runabout inference-ticket. Analysis, 21: 38–39.
Putnam, H., 1968. Is logic empirical? Boston Studies in the Philosophy of Science, 5.
Quine, W. V. O, 1981. Theories and Things. Cambridge, Mass.: Harvard University Press.
Quine, W. V. O., 1960. Word and Object. MIT Press, Cambridge, MA, USA.
Quine, W. V. O., 1970. Philosophy of Logic. Cambridge, Mass.: Harvard University Press.
Restall, G., 2002. Carnap’s tolerance, meaning, and logical pluralism. Journal of Philosophy, 99(8): 426–443.
Russell, G., 2015. The justification of the basic laws of logic. Journal of Philosophical Logic, 44(6): 793–803.
Russell, G., 2020. Logic isn’t normative. Inquiry: An Interdisciplinary Journal of Philosophy, 63(3-4): 371–388.
Shapiro, S., 2014. Varieties of Logic. Oxford and New York: Oxford University Press.
Steinberger, F., 2015. How tolerant can you be? carnap on rationality. Philosophy and Phenomenological Research, 92(3): 645–668.
Tahko, T., 2014. The metaphysical interpretation of logical truth. Pages 233–248 in P. Rush, editor, The Metaphysics of Logic: Logical Realism, Logical Anti-Realism and All Things In Between. Cambridge University Press.
Tahko, T. E., 2021. A survey of logical realism. Synthese, 198(5): 4775–4790.
Tarski, A., 1931. The concept of truth in formalized languages. Pages 152–278 in A. Tarski, Logic, Semantics, Metamathematics. Oxford University Press.
Tarski, A., 1943. The semantic conception of truth and the foundations of semantics. Philosophy and Phenomenological Research, 4(3): 341–376.
Williamson, T., 2007. The Philosophy of Philosophy. Blackwells, Oxford.
Williamson, T., 2013a. Anti-exceptionalism about philosophy. Croatian Journal of Philosophy, 37: 1–3.
Williamson, T., 2013b. Modal Logic as Metaphysics. Oxford University Press, Oxford.
Williamson, T., 2017. Semantic paradoxes and abductive methodology. In B. Armour-Garb, editor, The Relevance of the Liar. Oxford University Press, Oxford.
Wittgenstein, L., 1922. Tractatus Logico-Philosophicus. Routledge & Kegan Paul.
Wittgenstein, L., 1953. Philosophical Investigations. Wiley-Blackwell, New York, NY, USA.
Wright, C., 1992. Truth and Objectivity. Cambridge, Mass.: Harvard University Press.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Gareth R. Pearce
This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.
Stats
Number of views and downloads: 1378
Number of citations: 0
