Hierarchies Ontological and Ideological

Godel claimed that Zermelo-Fraenkel set theory is `what becomes of the theory of types if certain superfluous restrictions are removed'. The aim of this paper is to develop a clearer understanding of Godel's remark, and of the surrounding philosophical terrain. In connection with this,...

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Bibliographic Details
Main Author: Linnebo, Oystein
Other Authors: Massachusetts Institute of Technology. Department of Linguistics and Philosophy
Format: Article
Language:en_US
Published: Oxford University Press 2012
Online Access:http://hdl.handle.net/1721.1/73655
https://orcid.org/0000-0003-1847-2770
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Summary:Godel claimed that Zermelo-Fraenkel set theory is `what becomes of the theory of types if certain superfluous restrictions are removed'. The aim of this paper is to develop a clearer understanding of Godel's remark, and of the surrounding philosophical terrain. In connection with this, we discuss some technical issues concerning in finitary type theories and the programme of developing the semantics for higher-order languages in other higher-order languages.