David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Minds and Machines 11 (2):257-265 (2001)
A free logic is one in which a singular term can fail to refer to an existent object, for example, `Vulcan' or `5/0'. This essay demonstrates the fruitfulness of a version of this non-classical logic of terms (negative free logic) by showing (1) how it can be used not only to repair a looming inconsistency in Quine's theory of predication, the most influential semantical theory in contemporary philosophical logic, but also (2) how Beeson, Farmer and Feferman, among others, use it to provide a natural foundation for partial functions in programming languages. Vis à vis (2), the question is raised whether the Beeson-Farmer-Feferman approach is adequate to the treatment of partial functions in all programming languages. Gumb and the author say No, and suggest a way of handling the refractory cases by means of positive free logic. Finally, Antonelli's solution of a problem associated with the Gumb-Lambert proposal is mentioned.
|Keywords||extensional negative free logic partial functions positive free logic predication programming proof of unsoundness proto-semantics|
|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
Edward N. Zalta (1985). Lambert, Mally, and the Principle of Independence. Grazer Philosophische Studien 25:447-459.
G. Aldo Antonelli (2000). Proto-Semantics for Positive Free Logic. Journal of Philosophical Logic 29 (3):277-294.
Carlos Viegas Damásio & Luís Moniz Pereira (2002). Hybrid Probabilistic Logic Programs as Residuated Logic Programs. Studia Logica 72 (1):113 - 138.
Karel Lambert (ed.) (1991). Philosophical Applications of Free Logic. Oxford University Press.
Raymond D. Gumb (2002). The Lazy Logic of Partial Terms. Journal of Symbolic Logic 67 (3):1065-1077.
Karel Lambert (2003). Free Logic: Selected Essays. New Yorkcambridge University Press.
Added to index2009-01-28
Total downloads17 ( #213,847 of 1,796,303 )
Recent downloads (6 months)1 ( #468,138 of 1,796,303 )
How can I increase my downloads?