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

Authors

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

DOI:

https://doi.org/10.26686/ajl.v4i0.1778

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.

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Published

2006-01-25