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

  • II. Modifications And Generalizations Of First-Order Logic
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Abstract

LetEO be the elementary ontology of Leśniewski formalized as in Iwanuś [1], and letLS be the monadic second-order calculus of predicates. In this paper we give an example of a recursive function ϕ, 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 ϕ(A) for each formulaA.

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References

  1. B. Iwanuś,On Leśniewski elementary ontology,Studia Logica 31 (1973), pp. 73–125.

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  2. J. Słupecki,St. Leśniewski's calculus of names,Studia Logica 3 (1955), pp. 7–71.

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  3. V. Smirnov,The definition of modal operators with the help of tense operators, in:I. Niiniluoto andE. Saarinen (eds.),Intensional Logic: theory and applications,Acta Philosophica Fennica 35, Helsinki 1982.

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  1. Institute of Philosophy, Academy of Sciences of the U.S.S.R., Volhonka 14, Moscow

    V. A. Smirnov

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  1. V. A. Smirnov
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Smirnov, V.A. Embedding the elementary ontology of stanisław Leśniewski into the monadic second-order calculus of predicates. Stud Logica 42, 197–207 (1983). https://doi.org/10.1007/BF01063840

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  • DOI: https://doi.org/10.1007/BF01063840

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