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Some non-standard interpretations of the axiomatic basis of Leśniewski’s Ontology
Australasian Journal of Logic 4 (5):13-46 (2006)
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's Profile
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Citations of this work
Leśniewski's Systems of Logic and Foundations of Mathematics.Rafal Urbaniak - 2013 - Cham, Switzerland: Springer.
A Note on Identity and Higher Order Quantification.Rafal Urbaniak - 2009 - Australasian Journal of Logic 7:48--55.
Lesniewski and Russell's paradox: Some problems.Rafal Urbaniak - 2008 - History and Philosophy of Logic 29 (2):115-146.
References found in this work
The meaning of the quantifiers in the logic of Leśniewski.Guido Küng - 1977 - Studia Logica 36 (4):309-322.
Systems of Leśniewski's ontology with the functor of weak inclusion as the only primitive term.Czesław Lejewski - 1977 - Studia Logica 36 (4):323-349.
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