On minimal models for pure calculi of names

• Authors: Kulicki Piotr
• Languages of publication: EN

Abstracts

EN

By pure calculus of names we mean a quantifier-free theory, based on the classical propositional calculus, which defines predicates known from Aristotle’s syllogistic and Leśniewski’s Ontology. For a large fragment of the theory decision procedures, defined by a combination of simple syntactic operations and models in two-membered domains, can be used. We compare the system which employs `ε’ as the only specific term with the system enriched with functors of Syllogistic. In the former, we do not need an empty name in the model, so we are able to construct a 3-valued matrix, while for the latter, for which an empty name is necessary, the respective matrices are 4-valued.

Keywords

EN

calculus of names; Leśniewski’s Ontology; cardinality of models; Horn theories; axiomatic rejection

• Publisher: Uniwersytet Mikołaja Kopernika (Nicolaus Copernicus University in Toruń)
• Journal: Logic and Logical Philosophy
• Year: 2013
• Volume: 22
• Issue: 4
• Pages: 429–443

Dates

published

2013-12-01

online

2013-08-29

Contributors

author

Kulicki Piotr

• Department of Foundation of Computer Science, Faculty of Philosophy, The John Paul II Catholic University of Lublin, Al. Racławickie 14, Lublin, Poland

References

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Identifiers

DOI

10.12775/LLP.2013.023