Leśniewskian Ontology with Many-argument Predication

Leśniewskian Ontology (LO) is a system in which the basic subject-predicate formula takes the form of a b and express one-argument predication, e.g. John is a student. In LO's language, there is no many-argument form of predication given that would allow for the structural expression of, for ex...

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Published inHistory and philosophy of logic Vol. 44; no. 3; pp. 327 - 336
Main Author Paśniczek, Jacek
Format Journal Article
LanguageEnglish
Published Taylor & Francis 03.07.2023
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ISSN0144-5340
1464-5149
DOI10.1080/01445340.2022.2137334

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Abstract Leśniewskian Ontology (LO) is a system in which the basic subject-predicate formula takes the form of a b and express one-argument predication, e.g. John is a student. In LO's language, there is no many-argument form of predication given that would allow for the structural expression of, for example, the sentence John is Anne's son. In this article, a simple and natural extension of LO is suggested to encompass many-argument predication. The system thus obtained corresponds to polyadic second-order logic.
AbstractList Leśniewskian Ontology (LO) is a system in which the basic subject-predicate formula takes the form of a b and express one-argument predication, e.g. John is a student. In LO's language, there is no many-argument form of predication given that would allow for the structural expression of, for example, the sentence John is Anne's son. In this article, a simple and natural extension of LO is suggested to encompass many-argument predication. The system thus obtained corresponds to polyadic second-order logic.
Author Paśniczek, Jacek
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References Canty J. (CIT0001) 1984
Stachniak Z. (CIT0010) 1981
Kearns J. T. (CIT0005) 1967
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Lejewski C. (CIT0006) 1958; 1
Lushei E. (CIT0007) 1962
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Iwanuś B. (CIT0004) 1984
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  issue: 1
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  publication-title: Notre Dame Journal of Formal Logic
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– volume-title: Introduction to Model Theory for Leśniewski’s Ontology
  year: 1981
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– start-page: 165
  volume-title: Leśniewski’s systems. Ontology and Mereology
  year: 1984
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  doi: 10.1007/978-94-009-6089-3_7
– volume: 1
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Snippet Leśniewskian Ontology (LO) is a system in which the basic subject-predicate formula takes the form of a b and express one-argument predication, e.g. John is a...
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StartPage 327
SubjectTerms Boolean algebra
Leśniewski's Ontology
many-arguments predication
one-argument predication
second-order logic
Title Leśniewskian Ontology with Many-argument Predication
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