Łukasiewicz logic and the foundations of measurement

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)209-225
Number of pages17
JournalStudia Logica
Issue number3
StatePublished - Sep 1981
Externally publishedYes

ASJC Scopus subject areas

  • Logic
  • History and Philosophy of Science


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