Comments on: Hilbert’s Foundations of Geometry http://www.arsmathematica.net/2012/02/03/hilberts-foundations-of-geometry/ Dedicated to the mathematical arts. Fri, 29 May 2015 09:17:44 +0000 hourly 1 https://wordpress.org/?v=4.1.41 By: Walt http://www.arsmathematica.net/2012/02/03/hilberts-foundations-of-geometry/#comment-69094 Fri, 13 Apr 2012 06:47:52 +0000 http://www.arsmathematica.net/?p=1524#comment-69094 Huh, I didn’t know that. It sounds like it wasn’t an obscure paper, either. Wikipedia suggests that it influenced Tarski’s axiomization of plane geometry.

]]> By: peter http://www.arsmathematica.net/2012/02/03/hilberts-foundations-of-geometry/#comment-69090 Fri, 06 Apr 2012 11:16:03 +0000 http://www.arsmathematica.net/?p=1524#comment-69090 Hilbert’s was the first widely-known modern axiomatization of geometry, but he was not first. That honour belongs to Italian mathematician Mario Pieri, who published in 1895 and 1897-98, before Hilbert. This was at a time when the leading geometers were Italian, and the leading Italian mathematicians geometers.

@ARTICLE{pieri:geometry95,
AUTHOR = “Mario Pieri”,
TITLE = “Sui principi che reggiono la geometria di posizione”,
JOURNAL = “Atti della Reale Accademia delle scienze di Torino”,
YEAR = “1895”,
volume = “30”,
pages = “54–108″}

@ARTICLE{pieri:geometry98,
AUTHOR = “Mario Pieri”,
TITLE = “I principii della geometria di posizione composti in sistema logico deduttivo”,
JOURNAL = “Memorie della Reale Accademia delle Scienze di Torino 2″,
YEAR = “1897–98″,
volume = “48”,
pages = “1–62″}

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