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Zermelo–Fraenkel set theory with choice
Zermelo–Fraenkel set theory with choice
PulseAugur coverage of Zermelo–Fraenkel set theory with choice — every cluster mentioning Zermelo–Fraenkel set theory with choice across labs, papers, and developer communities, ranked by signal.
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New ZFC Proof Shows VC Dimension One Doesn't Guarantee PAC Learnability
Researchers have demonstrated that a concept class of Borel sets with a VC dimension of one can exist without guaranteeing PAC learnability, even with a consistent learning rule. This finding, achieved within Zermelo-Fr…
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Humans learn numbers from multisets, not mathematical sets, study suggests
This LessWrong post argues that humans likely learn numbers from the cardinality of multisets, not standard sets. While merging collections of objects mirrors addition, the distinctness requirement of sets breaks this a…