Concepedia

Independence Of The Continuum Function

Independence of the Continuum Function is a mathematical result in set theory establishing that the behavior of the continuum function, which maps a cardinal $\kappa$ to $2^\kappa$, cannot be determined solely from the axioms of Zermelo-Fraenkel set theory with the Axiom of Choice (ZFC), as its values at infinite cardinals are subject to arbitrary variation under different models of set theory.

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1.2K

Citations

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Authors

3

Institutions

Publications per year

2017–2026

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Parents

Publications

4

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Authors

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  1. DS
    Dana Scott

    Carnegie Mellon University, United States

    1 publications · 98 citations

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  2. CH
    Conal Hamill

    Queen's University Belfast, United Kingdom

    1 publications · 76 citations

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    h-index

  3. LS
    Larry S. Temkin

    Rutgers, The State University of New Jersey, United States

    1 publications · 253 citations

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  4. PJ
    Paul J. Cohen

    Stanford University, United States

    1 publications · 731 citations

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Institutions

3

  1. Stanford University

    Stanford, United States

    2 h-index

    2 publications

    829 citations

  2. Southern Regional College

    Armagh, United Kingdom

    1 h-index

    1 publications

    76 citations

  3. Rice University

    Houston, United States

    1 h-index

    1 publications

    253 citations

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Venues

  1. Proceedings of the National Academy of Sciences

    PNAS · 1 publications · 731 citations

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  2. Journal of Advanced Nursing

    JAN · 1 publications · 76 citations

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  3. Philosophy &amp Public Affairs

    1 publications · 253 citations

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  4. Theory of Computing Systems

    1 publications · 98 citations

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