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EXPLICIT MATHEMATICS AND OPERATIONAL SET THEORY: SOME ONTOLOGICAL COMPARISONS

Published online by Cambridge University Press:  24 October 2014

GERHARD JÄGER  and
RICO ZUMBRUNNEN
GERHARD JÄGER
Affiliation:
INSTITUT FÜR INFORMATIK UND ANGEWANDTE MATHEMATIK UNIVERSITÄT BERN NEUBRÜCKSTRASSE 10 CH-3012 BERN SWITZERLAND E-mail: [email protected], [email protected]
RICO ZUMBRUNNEN
Affiliation:
INSTITUT FÜR INFORMATIK UND ANGEWANDTE MATHEMATIK UNIVERSITÄT BERN NEUBRÜCKSTRASSE 10 CH-3012 BERN SWITZERLAND E-mail: [email protected], [email protected]
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Abstract

We discuss several ontological properties of explicit mathematics and operational set theory: global choice, decidable classes, totality and extensionality of operations, function spaces, class and set formation via formulas that contain the definedness predicate and applications.

Keywords

explicit mathematicsoperational set theory
Type
Articles
Information
Bulletin of Symbolic Logic , Volume 20 , Issue 3 , September 2014 , pp. 275 - 292
Copyright
Copyright © The Association for Symbolic Logic 2014 

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