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

edited by: Greg Restall

Australasian Journal of Logic, Vol. 4 (25 January 2006)

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lesniewski logic ontology

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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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