# "Deviant" Logics and Logical Pluralism

Reading guidelines

- Carnap's
*Logical Syntax of Language*(Foreword and §17) - Quine's
*Philosophy of Logic*(Chapter 6: Deviant Logics) - Beall & Restall's "Logical Pluralism"
- Priest's "Logic: One or Many?"
- Beall & Restall's "Defending Logical Pluralism"
- Restall's "Carnap's Tolerance, Language Change and Logical Pluralism"
- Read's "Monism: The One True Logic"

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 Logic*s, 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.