Blurring: an approach to conflation. (English) Zbl 1455.03037

Summary: I consider the phenomenon of conflation–treating distinct things as one–and develop logical tools for modeling it. These tools involve a purely consequence-theoretic treatment, independent of any proof or model theory, as well as a four-valued valuational treatment.


03B60 Other nonclassical logic
03A05 Philosophical and critical aspects of logic and foundations
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[1] Belnap, N. D., “Tonk, plonk, and plink,” Analysis, vol. 22 (1962), pp. 130-34.
[2] Brandom, R., Making It Explicit: Reasoning, Representing, and Discursive Commitment, Harvard University Press, Cambridge, Mass., 1994.
[3] Brandom, R., Articulating Reasons: An Introduction to Inferentialism, Harvard University Press, Cambridge, Mass., 2000.
[4] Camp, J. L., Jr., Confusion: A Study in the Theory of Knowledge, Harvard University Press, Cambridge, Mass., 2002.
[5] Camp, J. L., Jr., “Précis of Confusion,” Philosophy and Phenomenological Research, vol. 74 (2007), pp. 692-99.
[6] Cobreros, P., P. Egré, D. Ripley, and R. van Rooij, “Tolerant, classical, strict,” Journal of Philosophical Logic, vol. 41 (2012), pp. 347-85. · Zbl 1243.03038
[7] Cobreros, P., P. Egré, D. Ripley, and R. van Rooij, “Reaching transparent truth,” Mind, vol. 122 (2013), pp. 841-66.
[8] Cook, R. T., “What’s wrong with tonk(?),” Journal of Philosophical Logic, vol. 34 (2005), pp. 217-26. · Zbl 1096.03004
[9] Dummett, M., The Logical Basis of Metaphysics, Duckworth, London, 1991.
[10] Dunn, J. M., and G. M. Hardegree, Algebraic Methods in Philosophical Logic, vol. 41 of Oxford Logic Guides, Oxford University Press, New York, 2001. · Zbl 1014.03002
[11] Field, H., “Theory change and the indeterminacy of reference,” Journal of Philosophy, vol. 70 (1973), pp. 462-81.
[12] Frost-Arnold, G., “Too much reference: Semantics for multiply signifying terms,” Journal of Philosophical Logic, vol. 37 (2008), pp. 239-57. · Zbl 1145.03005
[13] Galatos, N., P. Jipsen, T. Kowalski, and H. Ono, Residuated Lattices: An Algebraic Glimpse at Substructural Logics, vol. 151 of Studies in Logic and the Foundations of Mathematics, Elsevier, Amsterdam, 2007. · Zbl 1171.03001
[14] Gupta, A., “Meaning and misconceptions,” pp. 15-41 in Language, Logic, and Concepts, edited by R. S. Jackendoff, P. Bloom, and K. Wynn, MIT Press, Cambridge, Mass., 1999.
[15] Hallnäs, L., “Partial inductive definitions,” Theoretical Computer Science, vol. 87 (1991), pp. 115-42. · Zbl 0770.68039
[16] Humberstone, L., “Heterogeneous logic,” Erkenntnis, vol. 29 (1988), pp. 395-435.
[17] Humberstone, L., The Connectives, MIT Press, Cambridge, Mass., 2011. · Zbl 1242.03002
[18] Lawlor, K., “A notional worlds approach to confusion,” Mind and Language, vol. 22 (2007), pp. 150-72.
[19] Lewy, C., J. Watling, and P. T. Geach, “Symposium: Entailment,” Proceedings of the Aristotelian Society, Supplementary Volumes, vol. 32 (1958), pp. 123-72.
[20] Millikan, R. G., On Clear and Confused Ideas, Cambridge University Press, Cambridge, 2000.
[21] Prior, A., “The runabout inference-ticket,” Analysis, vol. 21 (1960), pp. 38-39.
[22] Ripley, D., “Paradoxes and failures of cut,” Australasian Journal of Philosophy, vol. 91 (2013), pp. 139-64.
[23] Ripley, D., “Revising up: Strengthening classical logic in the face of paradox,” Philosophers’ Imprint, vol. 13 (2013), pp. 1-13.
[24] Ripley, D., “Anything goes,” Topoi, vol. 34 (2015), pp. 25-36. · Zbl 1382.03078
[25] Ripley, D., “‘Transitivity’ of consequence relations,” pp. 328-40 in Logic, Rationality, and Interaction, edited by W. van der Hoek, W. H. Holliday, and W.-F. Wang, vol. 9394 of Lecture Notes in Computer Science, Springer, Heidelberg, 2015. · Zbl 1471.03008
[26] Scharp, K., Replacing Truth, Oxford University Press, Oxford, 2013. · Zbl 1358.03015
[27] Schroeder-Heister, P., “The categorical and the hypothetical: A critique of some fundamental assumptions of standard semantics,” Synthese, vol. 187 (2012), pp. 925-42. · Zbl 1275.03054
[28] Sellars, W., “Inference and meaning,” Mind, vol. 62 (1953), pp. 313-38.
[29] Shoesmith, D. J., and T. J. Smiley, Multiple-Conclusion Logic, Cambridge University Press, Cambridge, 1978. · Zbl 0381.03001
[30] Smiley, T. J., “Entailment and deducibility,” Proceedings of the Aristotelian Society, vol. 59 (1958/1959), pp. 233-54.
[31] Tennant, N., Anti-Realism and Logic: Truth as Eternal, Oxford University Press, Oxford, 1987.
[32] Weir, A., “A robust non-transitive logic,” Topoi, vol. 34 (2015), pp. 99-107. · Zbl 1382.03044
[33] Zardini, E., “A model of tolerance,” Studia Logica, vol. 90 (2008), pp. 337-68. · Zbl 1162.03012
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