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Higher type categories
Author(s) -
Dowd Martin
Publication year - 1993
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.19930390129
Subject(s) - mathematics , type (biology) , set (abstract data type) , type theory , algebra over a field , mathematical economics , pure mathematics , computer science , ecology , biology , programming language
Higher 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.