"Deviant" Logics and Logical Pluralism

Plan of the course

Introduction

Philosophical preliminaries

Mathematical preliminaries

Part I. Introduction to classical and non-classical propositional logics

Classical Logic (Priest (2008, chap. 1))

Modal Logic (Priest (2008, chap. 2-3))

Intuitionistic Logic (Priest (2008, chap. 6))

Logics with Gaps and Gluts (Priest (2008, chap. 7 and 8))

Relevant Logic (Priest (2008, chap. 4 and 9))

Fuzzy Logic (Priest (2008, chap. 11))

Part II. Logical pluralism

Carnap (1937, foreword and 17) and Quine (1970, chap. 6)

Beall & Restall (2000)

Priest (2001)

Beall & Restall (2001)

Restall (2002)

Read (2006)

Bibliography

  • Beall, J.C. & Restall, G. (2000) “Logical pluralism,” Australasian Journal of Philosophy 78: 475-493.
  • ——(2001) “Defending logical pluralism,” in Logical Consequence: Rival Approaches. Proceedings of the 1999 Conference of the Society of Exact Philosophy, Hermes, pp. 1-22.
  • ——(2006) Logical Pluralism, Oxford University Press.
  • Burgess, J. P. (2012) Philosophical Logic, Princeton University Press.
  • Carnap, R. (1937) Logical Syntax of Language, Routledge.
  • ——(1950) “Empiricism, Semantics and Ontology,” Revue Internationale de Philosophie 4: 40-50.
  • Cook, R. T. (2010) “Let a Thousand Flowers Bloom: A Tour of Logical Pluralism,” Philosophy Compass 5-6: 492-504.
  • Field, H. (2009) “Pluralism in Logic”, Review of Symbolic Logic 2: 342-359.
  • Haack, S. (1978) Philosophy of Logics, Cambridge University Press.
  • ——(1996) Deviant Logic, Fuzzy Logic: Beyond the Formalism, University of Chicago Press.
  • Harris, J. H. (1982) “What’s so Logical about the “Logical” Axioms?,” Studia Logica 41: 159-171.
  • Quine, W. V. (1979) Philosophy of Logic, Harvard University Press, second edition.
  • Priest, G. (2001) “Logic: One or Many,” in J. Woods, and B. Brown (eds.), Logical Consequence: Rival Approaches. Proceedings of the 1999 Conference of the Society of Exact Philosophy, Hermes, pp. 23-28.
  • ——(2008) An Introduction to Non-Classical Logic. From If to is, Cambridge University Press, second edition.
  • Read, S. (2006) “Monism: The One True Logic,” in A logical Approach to Philosophy, Springer, pp. 193-209.
  • Restall, G. (2002) “Carnap’s tolerance, language change and logical pluralism,” Journal of Philosophy 99: 426-443.
  • Russell, G. (2008) “One True Logic?,” Journal of Philosophical Logic 37: 593-611.
  • Shapiro, S. (2014) Varieties of Logic, Oxford University Press.