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THEORIA. Revista de Teoría, Historia y Fundamentos de la Ciencia 2009, 24 2

Author: Karl-Georg NIEBERGALL

Source: http://www.redalyc.org/articulo.oa?id=339730809004


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THEORIA.
Revista de Teoría, Historia y Fundamentos de la Ciencia ISSN: 0495-4548 theoria@ehu.es Universidad del País Vasco-Euskal Herriko Unibertsitatea España NIEBERGALL, Karl-Georg On 2nd Order Calculi of Individuals THEORIA.
Revista de Teoría, Historia y Fundamentos de la Ciencia, vol.
24, núm.
2, 2009, pp.
169202 Universidad del País Vasco-Euskal Herriko Unibertsitatea Donostia-San Sebastián, España Available in: http:--www.redalyc.org-articulo.oa?id=339730809004 How to cite Complete issue More information about this article Journals homepage in redalyc.org Scientific Information System Network of Scientific Journals from Latin America, the Caribbean, Spain and Portugal Non-profit academic project, developed under the open access initiative On 2nd Order Calculi of Individuals Karl-Georg NIEBERGALL BIBLID [0495-4548 (2009) 24: 65; pp.
169-202] 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 de nitions 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. 1. Calculi of individuals and nominalistic theories 1.1.
Motivation and historical background Nelson Goodman is well known for being a nominalist; see, in particular Goodman (1951).
One of the lasting contributions to this philosophical position has been his work on the development and promotion of nominalistic theories, in particular of calculi of individuals.
Calculus of individuals is the term Goodman preferred for a theory which, platonistically speaking, deals with the part-whole relation and is therefore also sometimes called a mereology .
It should be noted, however, that Goodmans early study of calculi of individuals, as it is presented in Leonard and Goodman (1940), was proba...





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