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A GUIDE TO LOGICAL PLURALISM FOR NON-LOGICIANS

Published online by Cambridge University Press:  30 October 2017

Zach Weber
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Abstract

There exists today an infinite variety (literally) of formal logics, different systems with incompatible properties. One way to explain the existence of many logics is to posit logical pluralism: to suppose that there is in fact more than one correct logic. In this selective guide – designed for non-logicians – we look at some examples of how different logics come into apparent conflict with each other. Then we look at different ways of understanding the idea of logical pluralism. Our question throughout will be a basic one: does logical pluralism have any limits?

Type
Research Article
Information
Think , Volume 16 , Issue 47 , Autumn 2017 , pp. 93 - 114
Copyright
Copyright © The Royal Institute of Philosophy 2017 

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References

Beall, J. C. and Restall, Greg (2006) Logical Pluralism (Oxford: Oxford University Press).Google Scholar
Beziau, J.-Y. (2002) ‘Are Paraconsistent Negations Negations?’, in Carnielli, Walter A., Coniglio, Marcelo E., and Loffredo D'Ottaviano Marcel, Itala M. (eds.) Paraconsistency: The Logical Way to the Inconsistent (New York: Marcel Dekker), 465–86.Google Scholar
Bobzien, Susanne (2014) ‘Ancient Logic’, in Zalta, Edward N. (ed.) The Stanford Encyclopedia of Philosophy (Spring 2014 Edition).Google Scholar
Carnap, Rudolph (1937) The Logical Syntax of Language (London: Kegan Paul).Google Scholar
Carnap, Rudolph (1959) The Logical Syntax of Language (Paterson, NJ: Littlefield, Adams, & Co.).Google Scholar
Cook, Roy (2010) ‘Let a Thousand Flowers Bloom: A Tour of Logical Pluralism’, Philosophy Compass 5/6: 492–504.Google Scholar
Dummett, M. A. E. (1977) Elements of Intuitionism (Oxford: Clarendon Press).Google Scholar
Field, Hartry (2009) ‘Pluralism in Logic’, Review of Symbolic Logic 2(2): 342–59.CrossRefGoogle Scholar
Goddu, G. C. (2002). ‘What exactly is logical pluralism?’, Australasian Journal of Philosophy 80(2): 218–30.Google Scholar
Lewis, David (1990) ‘Allism or Noneism?’, Mind 99(393): 23–31.Google Scholar
Lewis, David (2004) ‘Letters to Beall and Priest’, in Priest, Graham, Beall, J. C. and Armour-Garb, Bradley (eds.) The Law of Non-Contradiction (Oxford: Oxford University Press), 176–7.Google Scholar
Mates, Benson (1997) The Skeptic Way (Oxford: Oxford University Press).Google Scholar
Priest, Graham (2008) Introduction to Non-Classical Logic (Cambridge: Cambridge University Press).Google Scholar
Priest, Graham and Tanaka, Koji and Weber, Zach (2017) ‘Paraconsistent Logic’, in Zalta, Edward N (ed.) Stanford Encyclopedia of Philosophy (Fall 2017 edition).Google Scholar
Prior, Arthur (1960) ‘The Runabout Inference Ticket’, Analysis 21: 38–9.Google Scholar
Quine, Willard (1970) Philosophy of Logic (Englewood Cliffs, NJ: Prentice-Hall).Google Scholar
Restall, Greg (2014) ‘Pluralism and Proofs’, Erkenntnis 79(2): 279–91.Google Scholar
Ripley, David (2013) ‘Paradoxes and Failures of Cut’, Australasian Journal of Philosophy 91(1): 139–64.Google Scholar
Ripley, David (2015) ‘Anything Goes’, Topoi 34(1): 25–36.CrossRefGoogle Scholar
Routley, Richard (1980) ‘Ultralogic as Universal?’, Appendix to Exploring Meinong's Jungle and Beyond. Australian National University, 1980.Google Scholar
Russell, Gillian (2013) ‘Logical Pluralism’, in Zalta, Edward N. (ed.) The Stanford Encyclopedia of Philosophy (Spring 2014 Edition).Google Scholar
Shapiro, Stewart (2006) Vagueness in Context (Oxford: Oxford University Press).Google Scholar
Smiley, Timothy (1959) ‘Entailment and Deducibility’, Proceedings of the Aristotelian Society 53: 233–54.CrossRefGoogle Scholar
Smiley, Timothy (1998) ‘Conceptions of Consequence’, in Craig, E. (ed.) Routledge Encyclopedia of Philosophy (London: Routledge). Accessed 18 September 2017.Google Scholar
Smith, Peter (2011) ‘Squeezing Arguments’, Analysis 71(1): 22–30.Google Scholar
Strawson, P. F. (1952) Introduction to Logical Theory (London: Methuen).Google Scholar
Tarski, Alfred (1983) ‘On the Concept of Logical Consequence’, Corcoran, John (ed.) Logic, Semantics, Metamathematics, 2nd edn (Indianapolis, IN: Hackett), 409–20.Google Scholar
van Heijenoort, Jean (ed.) (1967) From Frege to Gödel: A Sourcebook in Mathematical Logic, 1879–1931 (Cambridge, MA: Harvard University Press).Google Scholar
Wason, P. C. (1968) ‘Reasoning about a Rule’, Quarterly Journal of Experimental Psychology 20: 273–81.Google Scholar
Williamson, Timothy (2014) ‘Logic, Metalogic and Neutrality’, Erkenntnis 79(2): 211–31.Google Scholar
Wyatt, N. (2004) ‘What are Beall and Restall Pluralists About?’, Australasian Journal of Philosophy 82: 409–20.Google Scholar