Multiversism and Concepts of Set: How Much Relativism Is Acceptable?

DOI10.1007/978-3-319-31644-4_11zbMath1436.03017OpenAlexW2501022129MaRDI QIDQ3295823

Neil Barton

Publication date: 13 July 2020

Published in: Boston Studies in the Philosophy and History of Science (Search for Journal in Brave)

Full work available at URL: http://philsci-archive.pitt.edu/14635/1/2014_11_Multiversism_and_Concepts_of_Set_Rewrite%281%29.pdf

zbMATH Keywords

multiverseset theoryfoundations of mathematicsphilosophy of mathematics

Mathematics Subject Classification ID

Philosophy of mathematics (00A30) Philosophical and critical aspects of logic and foundations (03A05) Consistency and independence results (03E35) Axiomatics of classical set theory and its fragments (03E30)

Related Items (5)

STEEL’S PROGRAMME: EVIDENTIAL FRAMEWORK, THE CORE AND ULTIMATE-L ⋮ Set Theory and Structures ⋮ Hierarchical multiverse of sets ⋮ Evidence for Set-Theoretic Truth and the Hyperuniverse Programme ⋮ Can we resolve the continuum hypothesis?

Cites Work

• A natural model of the multiverse axioms
• Set theory. An introduction to independence proofs
• THE SET-THEORETIC MULTIVERSE
• Ideals and Generic Elementary Embeddings
• Believing the axioms. I
• WHAT CAN A CATEGORICITY THEOREM TELL US?
• The modal logic of forcing
• Defending the Axioms
• Multiple universes of sets and indeterminate truth values
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