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

Kentaro Fujimoto

doi:10.1007/s00153-022-00829-3

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

Kentaro Fujimoto

School of Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

2 Citations (Scopus)

87 Downloads (Pure)

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 language	English
Journal	Archive for Mathematical Logic
DOIs	https://doi.org/10.1007/s00153-022-00829-3
Publication status	Accepted/In press - 7 Feb 2022

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© 2022, The Author(s).

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

Abstract

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