Add topic "Continuum hypothesis" Accepted
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Add How Many Numbers Exist? Infinity Proof Moves Math Closer to an Answer.
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- How Many Numbers Exist? Infinity Proof Moves Math Closer to an Answer.
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- 2021-07-15
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- Proof, which appeared in May in the Annals of Mathematics, unites two rival axioms that have been posited as competing foundations for infinite mathematics. Asperó and Schindler showed that one of these axioms implies the other, raising the likelihood that both axioms — and all they intimate about infinity — are true. Most importantly, the result strengthens the case against the continuum hypothesis, a hugely influential 1878 conjecture about the strata of infinities.
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- https://www.quantamagazine.org/how-many-numbers-exist-infinity-proof-moves-math-closer-to-an-answer-20210715/
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Add Continuum hypothesis
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- Continuum hypothesis
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- In mathematics, the continuum hypothesis (abbreviated CH) is a hypothesis about the possible sizes of infinite sets. It states: There is no set whose cardinality is strictly between that of the integers and the real numbers. The continuum hypothesis was advanced by Georg Cantor in 1878, and establishing its truth or falsehood is the first of Hilbert's 23 problems presented in 1900.
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- https://en.wikipedia.org/?curid=5705
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Add Continuum hypothesis discussed in How Many Numbers Exist? Infinity Proof Moves Math Closer to an Answer.
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