Erkenntnis 39 (2):209 - 241 (1993)

We consider certain predicative classes with respect to their bearing on set theory, namely on its semantics, and on its ontological power. On the one hand, our predicative classes will turn out to be perfectly suited for establishing a nice hierarchy of metalanguages starting from the usual set theoretical language. On the other hand, these classes will be seen to be fairly inappropriate for the formulation of strong principles of infinity. The motivation for considering this very type of classes is a reasonable philosophy of set theory. Familiarity is assumed only with basic concepts of both set theory and its philosophy.
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DOI 10.1007/BF01128229
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References found in this work BETA

The Concept of Truth in Formalized Languages.Alfred Tarski - 1936 - In A. Tarski (ed.), Logic, Semantics, Metamathematics. Oxford University Press. pp. 152--278.
Mathematical Logic.W. V. Quine - 1940 - Cambridge: Harvard University Press.
The Iterative Conception of Set.George Boolos - 1971 - Journal of Philosophy 68 (8):215-231.
From Mathematics to Philosophy.Hao Wang - 1974 - London and Boston: London.
Sets and Classes.Charles Parsons - 1974 - Noûs 8 (1):1-12.

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Citations of this work BETA

A Dilemma in the Philosophy of Set Theory.Ralf-Dieter Schindler - 1994 - Notre Dame Journal of Formal Logic 35 (3):458-463.

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