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Preprints, Working Papers, ... Year : 2018

Hilbert's Error?

Alexander Shen

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).

Dates and versions

lirmm-01803582 , version 1 (30-05-2018)

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Alexander Shen. Hilbert's Error?. 2018. ⟨lirmm-01803582⟩
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