How to Choose New Axioms for Set Theory?

DOI10.1007/978-3-030-15655-8_2zbMath1528.03217OpenAlexW2984377037MaRDI QIDQ6075420

Laura Fontanella

Publication date: 20 September 2023

Published in: Synthese Library (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-15655-8_2

Mathematics Subject Classification ID

Philosophical and critical aspects of logic and foundations (03A05) Large cardinals (03E55) Other set-theoretic hypotheses and axioms (03E65) Generic absoluteness and forcing axioms (03E57)

Cites Work

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• Descriptive set theory
• Set theory. An introduction to large cardinals
• Infinite Abelian groups, Whitehead problem and some constructions
• Foundations of set theory. With the collaboration of Dirk van Dalen. 2nd revised ed
• What Does it Take to Prove Fermat's Last Theorem? Grothendieck and the Logic of Number Theory
• Believing the axioms. I
• A Provisional Solution to the Normal Moore Space Problem
• Strong axioms of infinity and elementary embeddings
• A MULTIVERSE PERSPECTIVE ON THE AXIOM OF CONSTRUCTIBILITY
• On constructive mathematics
• What is Cantor's Continuum Problem?
• Does Mathematics Need New Axioms?
• Defending the Axioms

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