Philosophical logic (5cr)
- 2013-10-01 - 2014-01-15
- Wed. 17:30 -20:00
- Room 401, Fac. Filosofia, UB
The XXth century has seen the development of many non-classical logics. The course has two aims: first, to give a presentation of some important non-classical logics, and second, to reflect on the situation created by these logics and discuss whether there is a unique correct logic.
I. Non-classical logics:
1. Introduction: a map of logics.
2. Many-valued logics.
3. Intuitionist logic and mathematical constructivism.
4. Relevant logics.
II. Logical pluralism:
4. Beall and Restall’s characterization of logical pluralism.
5. Priest on logic revision and logical pluralism.
6. Read’s criticisms to pluralism.
In the first part of the course each session will consist in a lecture by the teacher, together with the solution of exercises about non-classical logics. In the second part students must read original papers on the topic of logical pluralism. Each session will typically start with an explanation of the difficulties of the texts by the teacher, followed by a general discussion. Attendance is mandatory.
The first part of the course will be evaluated with weekly exercises. In the second part the evaluation will be based on a final exam to be solved at home.
- JC Beall and Greg Restall, “Logical Pluralism”, Australasian Journal of Philosophy, 78, 4, 2000, pp. 475-493.
- JC Beall and Greg Restall, Logical Pluralism, Oxford U.P., 2006.
- Graham Priest, Doubt Truth to be a Liar, Oxford U.P., 2006.
- Graham Priest, An Introduction to Non-Classical Logic: from If to Is, Cambridge U.P., 2008.
- Hartry Field, “Pluralism in Logic”, The Review of Symbolic Logic, 2, 2, 2009, pp. 342-359.
- Stephen Read, “Monism: the One True Logic”, in The Logical Approach to Philosophy, ed. D. DeVidi and T. Kenyon, Springer, 2006.
- Gillian Russell, “Logical Pluralism”, in E. Zalta (ed.) Stanford Encyclopedia of Philosophy, www.
- Ted Sider, Logic for Philosophy, Oxford U.P., 2010.