David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Studia Logica 90 (2):211 - 247 (2008)
The intention here is that of giving a formal underpinning to the idea of 'meaning-is-use' which, even if based on proofs, it is rather different from proof-theoretic semantics as in the Dummett-Prawitz tradition. Instead, it is based on the idea that the meaning of logical constants are given by the explanation of immediate consequences, which in formalistic terms means the effect of elimination rules on the result of introduction rules, i. e. the so-called reduction rules. For that we suggest an extension to the Curry-Howard interpretation which draws on the idea of labelled deduction, and brings back Frege's device of variable-abstraction to operate on the labels (i. e., proof-terms) alongside formulas of predicate logic.
|Keywords||Philosophy Computational Linguistics Mathematical Logic and Foundations Logic|
|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
Ruy J. G. B. de Queiroz (2008). On Reduction Rules, Meaning-as-Use, and Proof-Theoretic Semantics. Studia Logica 90 (2):211-247.
William R. Stirton (2008). Some Problems for Proof-Theoretic Semantics. Philosophical Quarterly 58 (231):278–298.
Nissim Francez & Roy Dyckhoff (2012). A Note on Harmony. Journal of Philosophical Logic 41 (3):613-628.
Patrizio Contu (2006). The Justification of the Logical Laws Revisited. Synthese 148 (3):573 - 588.
Nissim Francez (2013). Bilateralism in Proof-Theoretic Semantics. Journal of Philosophical Logic (2-3):1-21.
Nissim Francez & Roy Dyckhoff (2010). Proof-Theoretic Semantics for a Natural Language Fragment. Linguistics and Philosophy 33 (6):447-477.
Peter Milne (1994). Classical Harmony: Rules of Inference and the Meaning of the Logical Constants. Synthese 100 (1):49 - 94.
Heinrich Wansing (2000). The Idea of a Proof-Theoretic Semantics and the Meaning of the Logical Operations. Studia Logica 64 (1):3-20.
Peter Schroeder-Heister (2006). Validity Concepts in Proof-Theoretic Semantics. Synthese 148 (3):525 - 571.
Nils Kürbis (2012). How Fundamental is the Fundamental Assumption? Teorema: International Journal of Philosophy 2 (2):5-19.
Stephen Read (2010). General-Elimination Harmony and the Meaning of the Logical Constants. Journal of Philosophical Logic 39 (5):557-76.
Added to index2011-05-29
Total downloads7 ( #280,438 of 1,707,715 )
Recent downloads (6 months)2 ( #266,161 of 1,707,715 )
How can I increase my downloads?