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Universal Induction and True Universal Arithmetic
Author(s) -
Bigorajska Teresa
Publication year - 1994
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.19940400114
Subject(s) - mathematics , mathematics subject classification , finitely generated abelian group , arithmetic , subject (documents) , discrete mathematics , pure mathematics , algebra over a field , computer science , library science
We prove that every finitely generated (as a ring) model for induction for universal formulas without parameters satisfies also all true universal sentences. Mathematics Subject Classification: 03C62.