Hilbert's Error?

Alexander Shen 1
1 ESCAPE - Systèmes complexes, automates et pavages
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
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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https://hal-lirmm.ccsd.cnrs.fr/lirmm-01803582
Contributor : Alexander Shen <>
Submitted on : Wednesday, May 30, 2018 - 3:27:49 PM
Last modification on : Thursday, May 31, 2018 - 1:16:11 AM

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  • HAL Id : lirmm-01803582, version 1
  • ARXIV : 1801.04742

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

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