Some non-standard interpretations of the axiomatic basis of Leśniewski’s Ontology

  • Rafał Urbaniak Department of Philosophy, University of Calgary, Calgary, Alberta, Canada

Abstract

We propose an intuitive understanding of the statement: ‘an axiom (or: an axiomatic basis) determines the meaning of the only specific constant occurring in it.’ We introduce some basic semantics for functors of the category s/n,n of Lesniewski’s Ontology. Using these results we prove that the popular claim that the axioms of Ontology determine the meaning of the primitive constants is false.

Author Biography

Rafał Urbaniak, Department of Philosophy, University of Calgary, Calgary, Alberta, Canada
Published
2006-01-25
How to Cite
URBANIAK, Rafał. Some non-standard interpretations of the axiomatic basis of Leśniewski’s Ontology. The Australasian Journal of Logic, [S.l.], v. 4, jan. 2006. ISSN 1448-5052. Available at: <https://ojs.victoria.ac.nz/ajl/article/view/1778>. Date accessed: 18 july 2019. doi: https://doi.org/10.26686/ajl.v4i0.1778.