Studia Logica 90 (2) (2008)
|Abstract||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||No keywords specified (fix it)|
|Through your library||Configure|
Similar books and articles
Nissim Francez, Roy Dyckhoff & Gilad Ben-Avi (2010). Proof-Theoretic Semantics for Subsentential Phrases. Studia Logica 94 (3).
Stephen Read (2010). General-Elimination Harmony and the Meaning of the Logical Constants. Journal of Philosophical Logic 39:557-76.
Peter Schroeder-Heister (2006). Validity Concepts in Proof-Theoretic Semantics. Synthese 148 (3):525 - 571.
Heinrich Wansing (2000). The Idea of a Proof-Theoretic Semantics and the Meaning of the Logical Operations. Studia Logica 64 (1):3-20.
Peter Milne (1994). Classical Harmony: Rules of Inference and the Meaning of the Logical Constants. Synthese 100 (1):49 - 94.
Nissim Francez & Roy Dyckhoff (2010). Proof-Theoretic Semantics for a Natural Language Fragment. Linguistics and Philosophy 33 (6):447-477.
Ole T. Hjortland (2009). The Structure of Logical Consequence : Proof-Theoretic Conceptions. Dissertation, University of St Andrews
Patrizio Contu (2006). The Justification of the Logical Laws Revisited. Synthese 148 (3):573 - 588.
William R. Stirton (2008). Some Problems for Proof-Theoretic Semantics. Philosophical Quarterly 58 (231):278–298.
Ruy J. G. B. De Queiroz (2008). On Reduction Rules, Meaning-as-Use, and Proof-Theoretic Semantics. Studia Logica 90 (2):211 - 247.
Added to index2009-01-28
Total downloads20 ( #62,418 of 556,914 )
Recent downloads (6 months)2 ( #39,122 of 556,914 )
How can I increase my downloads?