Last Updated
：2025/11/24
continuum hypothesis
Noun
Japanese Meaning
連続体仮説は、実数全体ℝの無限部分集合が、必ず自然数全体の濃度（可算無限）か、あるいは実数全体の濃度（非可算無限）のいずれかに等しいという仮説である。
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(set theory) The hypothesis which states that any infinite subset of ℝ must have the cardinality of either the set of natural numbers or of ℝ itself.
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continuum hypothesis
Many set theorists continue to debate whether the continuum hypothesis can be resolved within ZFC or requires additional axioms.
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Many set theorists continue to debate whether the continuum hypothesis can be resolved within ZFC or requires additional axioms.
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