A few more dissimilarities between second-order arithmetic and set theory
Kentaro Fujimoto · Archive for Mathematical Logic · 2022
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.