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International Studies in Phenomenology and Philosophy

Book | Chapter

188665

Local constructive set theory and inductive definitions

Peter Aczel

pp. 189-207

Abstract

Local Constructive Set Theory (LCST) is intended to be a local version of constructive set theory (CST). Constructive Set Theory is an open-ended set theoretical setting for constructive mathematics that is not committed to any particular brand of constructive mathematics and, by avoiding any built-in choice principles, is also acceptable in topos mathematics, the mathematics that can be carried out in an arbitrary topos with a natural numbers object.

Publication details

Published in:

Sommaruga Giovanni (2011) Foundational theories of classical and constructive mathematics. Dordrecht, Springer.

Pages: 189-207

DOI: 10.1007/978-94-007-0431-2_10

Full citation:

Aczel Peter (2011) „Local constructive set theory and inductive definitions“, In: G. Sommaruga (ed.), Foundational theories of classical and constructive mathematics, Dordrecht, Springer, 189–207.