Łukasiewicz logic and the foundations of measurement
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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 us to treat formally errors arising in nominal and ordinal measurements.
- Queen's University Canada
Mathematical sociology (including anthropology), logic of inexactness, proximity, dominance, ordering predicate, degrees of error, indifference, social inquiry, Many-valued logic, inexactness arising from measurement error, equality predicate, pseudo-metric on multi-valued structures, Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects), formal measurement theories, Mathematical psychology, preference, Utility theory
Mathematical sociology (including anthropology), logic of inexactness, proximity, dominance, ordering predicate, degrees of error, indifference, social inquiry, Many-valued logic, inexactness arising from measurement error, equality predicate, pseudo-metric on multi-valued structures, Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects), formal measurement theories, Mathematical psychology, preference, Utility theory
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