Higher type categories

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1993 English Publisher:WileyJournal:Mathematical Logic Quarterly, volume 39, pages 251-254 (issn: 0942-5616, eissn: 1521-3870,

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Authors: Martin Dowd;

doi: 10.1002/malq.19930390129

Higher type categories

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Abstract

AbstractHigher types can readily be added to set theory, Bernays‐Morse set theory being an example. A type for each ordinal is added in [2]. Adding higher types to set theory provides a neat solution to the problem of how to handle higher type categories. We give the basic definitions, and prove cocompleteness of some higher type categories. MSC: 14A15.

Related Organizations

University of California, Irvine
United States

Keywords

cocompleteness, Foundations, relations to logic and deductive systems, Applications of set theory, higher type categories

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