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John Carlos Baez on Twitter: "The "Reinhardt cardinal" was proved to be inconsistent with ZFC, so people backed down and defined the "I0 cardinal" using a weakened version of the same idea:
John Carlos Baez on Twitter: "Peano arithmetic defines 1 to be S0, meaning the number after 0. ZF set theory usually defines 1 to be {∅}, meaning the set contains the empty
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John Carlos Baez on Twitter: "Indeed, in all known models of ZF¬C (set theory and the negation of axiom of choice), there is a set that can be partitioned into strictly more
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John Carlos Baez on Twitter: "Peano arithmetic defines 1 to be S0, meaning the number after 0. ZF set theory usually defines 1 to be {∅}, meaning the set contains the empty
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John Carlos Baez on Twitter: "Indeed, in all known models of ZF¬C (set theory and the negation of axiom of choice), there is a set that can be partitioned into strictly more
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