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The natural numbers in constructive set theory
Author(s) -
Rathjen Michael
Publication year - 2008
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.200710036
Subject(s) - constructive , mathematics , set (abstract data type) , natural number , set theory , natural (archaeology) , constructive proof , mathematical economics , discrete mathematics , calculus (dental) , algebra over a field , pure mathematics , computer science , process (computing) , medicine , archaeology , dentistry , history , programming language , operating system
Constructive set theory started with Myhill's seminal 1975 article [8]. This paper will be concerned with axiomatizations of the natural numbers in constructive set theory discerned in [3], clarifying the deductive relationships between these axiomatizations and the strength of various weak constructive set theories. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)