Syllogistic Logic with Comparative Adjectives

Journal of Logic, Language and Information 20 (3):397-417 (2011)
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Abstract

This paper adds comparative adjectives to two systems of syllogistic logic. The comparatives are interpreted by transitive and irreflexive relations on the underlying domain. The main point is to obtain sound and complete axiomatizations of the valid formulas in the logics

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10.1007/s10849-011-9137-x

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Author's Profile

Larry Moss
Indiana University

Citations of this work

Relational Syllogisms with Numerical Quantifiers and Beyond.Ka-fat Chow - 2021 - Journal of Logic, Language and Information 31 (1):1-34.

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References found in this work

A semantics for positive and comparative adjectives.Ewan Klein - 1980 - Linguistics and Philosophy 4 (1):1--45.
On languages with two variables.Michael Mortimer - 1975 - Mathematical Logic Quarterly 21 (1):135-140.
Logics for the relational syllogistic.Ian Pratt-Hartmann & Lawrence S. Moss - 2009 - Review of Symbolic Logic 2 (4):647-683.
Undecidability results on two-variable logics.Erich Grädel, Martin Otto & Eric Rosen - 1999 - Archive for Mathematical Logic 38 (4-5):313-354.
Inexpressiveness of First-Order Fragments.William C. Purdy - 2006 - Australasian Journal of Logic 4 (5):1-12.

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