Philosophical Logic

The textbook for the course is Ted Sider’s Logic for Philosophy (OUP, 2010), and tutorials will be based on James Studd’s logic exercises and philosophy tasks, which can be found on his website:

https://jamesstudd.net/phillogic/

There are also Faculty lectures for the course, given in Hilary Term. It is strongly recommend that you go to these. Lecture slides are also on James Studd’s website.

In order to do well in this paper, it is important that you complete the philosophy tasks as well as the logic exercises. Below, I give readings for six of the topics we’ll be looking at. Many of the readings are online, and all can be obtained from the college or other libraries in Oxford, but if you are struggling to get hold of anything, email me, as I have PDF copies of nearly everything.

TOPICS

  1. Many-Valued Logics
  2. Modal Propositional Logic
  3. Second-Order Logic
  4. Quantified Modal Logic
  5. Two-Dimensional Modal Logic
  6. Counterfactuals

TOPICS

1. MANY-VALUED LOGICS

TOP

CORE READING
Kit Fine (1975) ‘Vagueness, Truth and Logic’ in Synthese 30(3/4), pp. 265–300.
Tim Williamson (1994) Vagueness (Routledge), Ch. 4 and 5.

FURTHER READING
Rosanna Keefe (2008) ‘Vagueness: Supervaluationism’ in Philosophy Compass 3(2), pp. 315–324.

TOP

CORE READING
Nathan Salmon (1989) ‘The Logic of What Might have Been’ in The Philosophical Review 98(1), pp. 3–34.
Tim Williamson (2013) Modal Logic as Metaphysics (OUP), §§3.1–3.3.

FURTHER READING
Michael Loux (1979) ‘Introduction’ to Michael Loux, ed. The Possible and the Actual (Cornell UP).

3. SECOND-ORDER LOGIC

TOP

CORE READING
W. V. O. Quine (1986) Philosophy of Logic (2nd ed., Harvard UP), pp. 61–70.
George Boolos (1975) ‘On Second-Order Logic’ in Journal of Philosophy 72, pp. 509–527.

FURTHER READING
Stewart Shapiro (1991) Foundations without Foundationalism (OUP), Chs. 4, 5 and 7.

4. QUANTIFIED MODAL LOGIC

TOP

CORE READING
Tim Williamson (1998) ‘Bare Possibilia’ in Erkenntnis 48, pp. 257–273.
Reina Hayaki (2006) ‘Contingent Objects and the Barcan Formula’ in Erkenntnis 64, pp. 75–83.

FURTHER READING
Tim Williamson (2013) Modal Logic as Metaphysics (OUP), Chs 1, 2.1-2, 3, 4.1.
Ted Sider (2009) ‘Williamson’s Many Necessary Existents’ in Analysis 69, pp. 250–258.

5. TWO-DIMENSIONAL MODAL LOGIC

TOP

CORE READING
Gareth Evans (1979) ‘Reference and Contingency’ in The Monist 62, pp. 161–89.
Martin Davies and Lloyd Humberstone (1980) ‘Two Notions of Necessity’ in Philosophical Studies 38, pp. 1–30.

FURTHER READING
Scott Soames (2005) Reference and Description (Princeton UP), Ch. 6.

6. COUNTERFACTUALS

TOP

CORE READING
David Lewis (1973) Counterfactuals (Blackwell), §3.4.
Robert Stalnaker (1984) Inquiry (Cambridge University Press), Ch. 7.

FURTHER READING
Kai von Fintel (2012) ‘Subjunctive Conditionals’ in Delia Graff Fara and Gillian Russell, eds. The Routledge Companion to Philosophy of Language (Routledge).