A conceptualist interpretation of Lesniewski's ontology

History and Philosophy of Logic 22 (1):29-43 (2001)
A first-order formulation of Le?niewski's ontology is formulated and shown to be interpretable within a free first-order logic of identity extended to include nominal quantification over proper and common-name concepts. The latter theory is then shown to be interpretable in monadic second-order predicate logic, which shows that the first-order part of Le?niewski's ontology is decidable
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DOI 10.1080/01445340110113381
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References found in this work BETA
Alonzo Church (1944). Introduction to Mathematical Logic. London, H. Milford, Oxford University Press.
Jerzy Słupecki (1984). S. Leśniewski's Calculus of Names. In Jan T. J. Srzednicki, V. F. Rickey & J. Czelakowski (eds.), Studia Logica. Distributors for the United States and Canada, Kluwer Boston 59--122.
Nino Cocchiarella (1991). Formal Ontology. In Hans Burkhardt & Barry Smith (eds.), Handbook of Metaphysics and Ontology. Philosophia Verlag 640--647.

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Nino Cocchiarella (2009). Mass Nouns in a Logic of Classes as Many. Journal of Philosophical Logic 38 (3):343 - 361.

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