David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
These lecture notes were composed while teaching a class at Stanford and studying the work of Brian Chellas (Modal Logic: An Introduction, Cambridge: Cambridge University Press, 1980), Robert Goldblatt (Logics of Time and Computation, Stanford: CSLI, 1987), George Hughes and Max Cresswell (An Introduction to Modal Logic, London: Methuen, 1968; A Companion to Modal Logic, London: Methuen, 1984), and E. J. Lemmon (An Introduction to Modal Logic, Oxford: Blackwell, 1977). The Chellas text inﬂuenced me the most, though the order of presentation is inspired more by Goldblatt.2 My goal was to write a text for dedicated undergraduates with no previous experience in modal logic. The text had to meet the following desiderata: (1) the level of diﬃculty should depend on how much the student tries to prove on his or her own—it should be an easy text for those who look up all the proofs in the appendix, yet more diﬃcult for those who try to prove everything themselves; (2) philosophers (i.e., colleagues) with a basic training in logic should be able to work through the text on their own; (3) graduate students should ﬁnd it useful in preparing for a graduate course in modal logic; (4) the text should prepare people for reading advanced texts in modal logic, such as Goldblatt, Chellas, Hughes and Cresswell, and van Benthem, and in particular, it should help the student to see what motivated the choices in these texts; (5) it should link the two conceptions of logic, namely, the conception of a logic as an axiom system (in which the set of theorems is constructed from the bottom up through proof sequences) and the conception of a logic as a set containing initial ‘axioms’ and closed under ‘rules of inference’ (in which the set of theorems is constructed from the top down, by carving out the logic from the set of all formulas as the smallest set closed under the rules); ﬁnally, (6) the pace for the presentation of the completeness theorems should be moderate—the text should be intermediate between Goldblatt and Chellas in this regard (in Goldblatt, the completeness proofs come too quickly for the undergraduate, whereas in Chellas, too many unrelated....
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library||
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Brian F. Chellas (1980). Modal Logic: An Introduction. Cambridge University Press.
Ernst Zimmermann (2003). Elementary Definability and Completeness in General and Positive Modal Logic. Journal of Logic, Language and Information 12 (1):99-117.
Paolo Gentilini (1993). Syntactical Results on the Arithmetical Completeness of Modal Logic. Studia Logica 52 (4):549 - 564.
Balder ten Cate (2006). Expressivity of Second Order Propositional Modal Logic. Journal of Philosophical Logic 35 (2):209 - 223.
Balder ten Cate (2006). Expressivity of Second Order Propositional Modal Logic. Journal of Philosophical Logic 35 (2):209-223.
James W. Garson (2006). Modal Logic for Philosophers. Cambridge University Press.
Johan van Benthem, Giovanna D'Agostino, Angelo Montanari & Alberto Policriti (1998). Modal Deduction in Second-Order Logic and Set Theory - II. Studia Logica 60 (3):387-420.
D. S. Clarke (1973). Deductive Logic. Carbondale,Southern Illinois University Press.
Johan Van Benthem, Giovanna D'Agostino, Angelo Montanari & Alberto Policriti (1998). Modal Deduction in Second-Order Logic and Set Theory: II. Studia Logica 60 (3):387 - 420.
Theodore Sider (2010). Logic for Philosophy. Oxford University Press.
George Englebretsen & Charles Sayward (2010). Philosophical Logic: An Introduction to Advanced Topics. continuum.
George Boolos (1979). The Unprovability of Consistency: An Essay in Modal Logic. Cambridge University Press.
J. C. Beall (2003). Possibilities and Paradox: An Introduction to Modal and Many-Valued Logic. Oxford University Press.
Added to index2010-12-22
Total downloads108 ( #10,517 of 1,099,564 )
Recent downloads (6 months)4 ( #87,413 of 1,099,564 )
How can I increase my downloads?