Embedding the elementary ontology of stanisław leśniewski into the monadic second-order calculus of predicates

Studia Logica 42 (2-3):197 - 207 (1983)
LetEO be the elementary ontology of Leniewski formalized as in Iwanu [1], and letLS be the monadic second-order calculus of predicates. In this paper we give an example of a recursive function , defined on the formulas of the language ofEO with values in the set of formulas of the language of LS, such that EO A iff LS (A) for each formulaA.
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DOI 10.1007/BF01063840
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Mitio Takano (1991). Syntactical Proof of Translation and Separation Theorems on Subsystems of Elementary Ontology. Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 37 (9-12):129-138.

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