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arXiv · 1801.04742

Hilbert's Error?

Alexander Shen
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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)

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Alexander Shen. 2018-01-15. Hilbert's Error?. https://doi.org/10.1007/s00283-018-9792-8

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