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How Many Numbers Exist? Infinity Proof Moves Math Closer to an Answer. | Quanta Magazine

Their 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.

It s a fantastic result, said Menachem Magidor, a leading mathematical logician at the Hebrew University of Jerusalem. To be honest, I was trying to get it myself.

via www.quantamagazine.org

Years ago a friend introduced to me a famous young mathematician as one who had just published a piece in the Anals of Mathematics.