On 2nd Order Calculi of Individuals

Karl-Georg Niebergall

Abstract


From early work of N. Goodman to recent approaches by H. Field and D. Lewis, there have
been attempts to combine 2nd order languages with calculi of individuals. This paper is a contribution,
containing basic definitions and distinctions and some metatheorems, to the development
of a general metatheory of such theories.

Keywords


nominalism, mereology, calculus of individuals, 2nd order logic, Goodman, Lewis, Field.

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DOI: http://dx.doi.org/10.1387/theoria.441