LEVEL THEORY, PART 1: AXIOMATIZING THE BARE IDEA OF A CUMULATIVE HIERARCHY OF SETS

DOI10.1017/bsl.2021.13OpenAlexW3157085570MaRDI QIDQ5037520

Tim Button

Publication date: 1 March 2022

Published in: The Bulletin of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/bsl.2021.13

zbMATH Keywords

ordinalrankset theorylevel theory

Mathematics Subject Classification ID

Philosophical and critical aspects of logic and foundations (03A05) Axiomatics of classical set theory and its fragments (03E30)

Cites Work

• Set theory. An introduction to large cardinals
• Internal categoricity in arithmetic and set theory
• Principles of partial reflection in the set theories of Zermelo and Ackermann
• Slim models of Zermelo set theory
• On the paradox of grounded classes
• Relatives of the Russell Paradox
• Philosophy and Model Theory
• Mathematics and Bleak House
• Models of Second-Order Zermelo Set Theory
• Conceptions of Set and the Foundations of Mathematics
• A NEGLECTED RESOLUTION OF RUSSELL’S PARADOX OF PROPOSITIONS
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