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arXiv:1901.04773math.LO

Machine learning and the Continuum Hypothesis

Klaas Pieter Hart

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Abstract

We comment on a recent paper that connects certain forms of machine learning to Set Theory. We point out that part of the set-theoretic machinery is related to a result of Kuratowski about decompositions of finite powers of sets and we show that there is no Borel measurable monotone compression function on the unit interval.

arXiv comments
version 2: some simplifications version 3: expanded presentation with more comments
Journal reference
Nieuw Archief voor Wiskunde 20 (3) (2019), 214-217
DOI
Subjects
math.LOLogic math.GNGeneral Topology

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