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    There is a single universe of sets. — Carmelics
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    Home/Modality & Possibility
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    Supports→The Continuum Hypothesis is either true or false, though we cannot determine which.

    There is a single universe of sets.

    Modality & PossibilityTruth & Knowledge
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    Related propositions within the same area of thought.
    The Continuum Hypothesis is a determinate proposition about that single universe...
    The Continuum Hypothesis is either true or false, though we cannot determine whi...

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    V (the universe of all sets) is not a set90%There are many distinct concepts of set, each determining its own univ...88%The set-theoretical universe cannot form a set.86%Nothing can be missing from V (the universe of all sets)85%

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    SEP: settheory-alternative
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    We examine the theory of the set theoretic multiverse proposed by Joel David Hamkins, whose purpose is to address philosophical questions about independence questions in standard set theory, but which when spelled out formally has some of the flavor of an alternative set theory. A set theoretic Platonist might say about the Continuum Hypothesis (CH) that, since there is “of course” a single universe of sets, CH is either true or false in that world, but that we cannot determine which of CH and \

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