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Base-extension semantics for intuitionistic sentential logic
KTH, School of Architecture and the Built Environment (ABE), Philosophy and History of Technology, Philosophy.
2015 (English)In: Logic journal of the IGPL (Print), ISSN 1367-0751, E-ISSN 1368-9894, Vol. 23, no 5, 719-731 p.Article in journal (Refereed) Published
Abstract [en]

Intuitionistic sentential logic is shown to be sound and complete with respect to a semantics centered around extensions of atomic bases (i.e. sets of inference rules for atomic sentences). The result is made possible through a non-standard interpretation of disjunction, whereby, roughly speaking, a disjunction is taken to hold just in case every atomic sentence that follows from each of the disjuncts separately holds; it is argued that this interpretation makes good sense provided that rules in atomic bases are conceived of as being accepted hypothetically rather than categorically.

Place, publisher, year, edition, pages
Oxford University Press, 2015. Vol. 23, no 5, 719-731 p.
Keyword [en]
Base-extension semantics, proof-theoretic semantics, intuitionistic logic, completeness, disjunction, hypothetical reasoning
National Category
URN: urn:nbn:se:kth:diva-176980DOI: 10.1093/jigpal/jzv021ISI: 000363059700001ScopusID: 2-s2.0-84943768008OAI: diva2:872373

QC 20151118

Available from: 2015-11-18 Created: 2015-11-13 Last updated: 2015-11-18Bibliographically approved

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