David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Journal of Philosophical Logic 37 (4):299 - 317 (2008)
By introducing the intensional mappings and their properties, we establish a new semantical approach of characterizing intermediate logics. First prove that this new approach provides a general method of characterizing and comparing logics without changing the semantical interpretation of implication connective. Then show that it is adequate to characterize all Kripke_complete intermediate logics by showing that each of these logics is sound and complete with respect to its (unique) ‘weakest characterization property’ of intensional mappings. In particular, we show that classical logic has the weakest characterization property , which is the strongest among all possible weakest characterization properties of intermediate logics. Finally, it follows from this result that a translation is an embedding of classical logic into intuitionistic logic, iff. its semantical counterpart has the property.
|Keywords||classical propositional logic intuitionistic propositional logic kripke semantics translation|
|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
Nobu-Yuki Suzuki (1995). Constructing a Continuum of Predicate Extensions of Each Intermediate Propositional Logic. Studia Logica 54 (2):173 - 198.
Larisa L. Maksimova (1979). Interpolation Properties of Superintuitionistic Logics. Studia Logica 38 (4):419 - 428.
A. Avron (2000). Implicational F-Structures and Implicational Relevance Logics. Journal of Symbolic Logic 65 (2):788-802.
Lloyd Humberstone (2000). Contra-Classical Logics. Australasian Journal of Philosophy 78 (4):438 – 474.
Nobu-Yuki Suzuki (1990). Kripke Bundles for Intermediate Predicate Logics and Kripke Frames for Intuitionistic Modal Logics. Studia Logica 49 (3):289 - 306.
Hiroakira Ono (1986). Craig's Interpolation Theorem for the Intuitionistic Logic and its Extensions—a Semantical Approach. Studia Logica 45 (1):19 - 33.
Marcus Kracht (1998). On Extensions of Intermediate Logics by Strong Negation. Journal of Philosophical Logic 27 (1):49-73.
Greg Restall (forthcoming). Substructural Logics. Stanford Encyclopedia of Philosophy.
Greg Restall (1997). Combining Possibilities and Negations. Studia Logica 59 (1):121-141.
Added to index2009-01-28
Total downloads12 ( #180,483 of 1,696,220 )
Recent downloads (6 months)7 ( #77,978 of 1,696,220 )
How can I increase my downloads?