More than a Decade in the Set-Theoretic Multiverse

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September 3, 2025Deleted JournalOpen Access

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Key Points

The concept of a set-theoretic multiverse underscores that multiple models can coexist, showing diverse interpretations of set theory.
Established axioms like Zermelo-Fraenkel face challenges, particularly regarding the independence of the Continuum Hypothesis from these axioms.
Contemporary discussions often reflect conflicting views: pluralism advocates for multiple set-theoretic frameworks, whereas universism supports the existence of a singular universe.
The exploration of large cardinals highlights the ongoing debate in set theory regarding independence and the establishment of firm axioms.

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This analysis explores set theory's expansion via the set-theoretic multiverse and its implications for the Continuum Hypothesis.

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Matteo de Ceglie (2025) studied this question.

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