Machine learning and the Continuum Hypothesis
Logic
2024-08-27 v3 General Topology
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.
Cite
@article{arxiv.1901.04773,
title = {Machine learning and the Continuum Hypothesis},
author = {Klaas Pieter Hart},
journal= {arXiv preprint arXiv:1901.04773},
year = {2024}
}
Comments
version 2: some simplifications version 3: expanded presentation with more comments