A few more dissimilarities between second-order arithmetic and set theory

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Abstract

Second-order arithmetic and class theory are second-order theories of mathematical subjects of foundational importance, namely, arithmetic
and set theory. Despite the similarity in appearance, there turned out to
be significant mathematical dissimilarities between them. The present paper
studies various principles in class theory, from such a comparative perspective between second-order arithmetic and class theory, and presents a few new
dissimilarities between them.
Original languageEnglish
JournalArchive for Mathematical Logic
DOIs
Publication statusAccepted/In press - 7 Feb 2022

Bibliographical note

Publisher Copyright:
© 2022, The Author(s).

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