Skip to main content
SpringerLink
Log in

Embeddings between the elementary ontology with an atom and the monadic second-order predicate logic

  • Published:
Studia Logica Aims and scope Submit manuscript

Abstract

Let EOA be the elementary ontology augmented by an additional axiom ∃ S (S ɛ S), and let LS be the monadic second-order predicate logic. We show that the mapping ϕ which was introduced by V. A. Smirnov is an embedding of EOA into LS. We also give an embedding of LS into EOA.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. B. Iwanuś, On Leśniewski's elementary ontology, Studia Logica 31 (1972), pp.73–125.

    Google Scholar 

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

    Google Scholar 

  3. V. A. Smirnov, Embedding the elementary ontology of Stanisław Leśniewski into the monadic second-order calculus of predicates, Studia Logica 42 (1983), pp. 197–207.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics Faculty of Education, Niigata University, 950-21, Niigata, Japan

    Mitio Takano

Authors
  1. Mitio Takano
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Takano, M. Embeddings between the elementary ontology with an atom and the monadic second-order predicate logic. Stud Logica 46, 247–253 (1987). https://doi.org/10.1007/BF00372549

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00372549

Keywords

Search

Navigation