Hilbert's Error?
History and Overview
2019-01-23 v2
Abstract
It is well known that a center of a given circle cannot be constructed using only a straightedge and that this was proven by David Hilbert. Still it is not so clear what kind of object is proven to be non-existing. We analyze different attempts to define a geometric construction appearing in the literature and observe that none of them is really satisfactory and that Hilbert's proof needs to be corrected (as noted by Akopyan and Fedorov)
Cite
@article{arxiv.1801.04742,
title = {Hilbert's Error?},
author = {Alexander Shen},
journal= {arXiv preprint arXiv:1801.04742},
year = {2019}
}