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  1. The theory of Boolean ultrapowers.Richard Mansfield - 1971 - Annals of Mathematical Logic 2 (3):297-323.
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  • The logic of inexact concepts.J. A. Goguen - 1969 - Synthese 19 (3-4):325-373.
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  • Łukasiewicz logic and the foundations of measurement.Michael Katz - 1981 - Studia Logica 40 (3):209 - 225.
    The logic of inexactness, presented in this paper, is a version of the Łukasiewicz logic with predicates valued in [0, ∞). We axiomatize multi-valued models of equality and ordering in this logic guaranteeing their imbeddibility in the real line. Our axioms of equality and ordering, when interpreted as axioms of proximity and dominance, can be applied to the foundations of measurement (especially in the social sciences). In two-valued logic they provide theories of ratio scale measurement. In multivalued logic they enable (...)
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