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On the regular extension axiom and its variants

✍ Scribed by Michael Rathjen; Robert S. Lubarsky

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
138 KB
Volume
49
Category
Article
ISSN
0044-3050

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✦ Synopsis

Abstract

The regular extension axiom, REA, was first considered by Peter Aczel in the context of Constructive Zermelo‐Fraenkel Set Theory as an axiom that ensures the existence of many inductively defined sets. REA has several natural variants. In this note we gather together metamathematical results about these variants from the point of view of both classical and constructive set theory.

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