Premium
Linearly Stratified Models for the Foundations of Nonstandard Mathematics
Author(s) -
Nasso Mauro Di
Publication year - 1998
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.19980440111
Subject(s) - mathematics , transitive relation , rank (graph theory) , function (biology) , set (abstract data type) , pure mathematics , calculus (dental) , discrete mathematics , combinatorics , computer science , medicine , dentistry , evolutionary biology , biology , programming language
Assuming the existence of an inaccessible cardinal, transitive full models of the whole set theory, equipped with a linearly valued rank function, are constructed. Such models provide a global framework for nonstandard mathematics.