A conceptualist interpretation of Lesniewski's ontology

History and Philosophy of Logic 22 (1):29-43 (2001)
Abstract
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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    Nino B. Cocchiarella (2009). Mass Nouns in a Logic of Classes as Many. Journal of Philosophical Logic 38 (3):343 - 361.
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