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The Continuum Hypothesis and the Universe: Reflections on Independence and Existence

Peña-Macias, Victor
PhilArchive · Papers
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philosophy
This paper explores some philosophical and mathematical relationships between the continuum hypothesis, the axiom of choice, logical independence within mathematics, the existence of a higher being, the size of the universe, and some of the objects that compose it. Different comparisons are made between the nature of various classes of infinities and their consistency with our universe, referencing the viewpoints of Cantor and Peirce.
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