<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0011-1503</journal-id>
<journal-title><![CDATA[Crítica (México, D.F.)]]></journal-title>
<abbrev-journal-title><![CDATA[Crítica (Méx., D.F.)]]></abbrev-journal-title>
<issn>0011-1503</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional Autónoma de México, Instituto de Investigaciones Filosóficas]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0011-15032012000200027</article-id>
<article-id pub-id-type="doi">10.22201/iifs.18704905e.2012.762</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA["Una imagen de la realidad geométrica": la concepción axiomática de la geometría de Hilbert a la luz de la Bildtheorie de Heinrich Hertz]]></article-title>
<article-title xml:lang="en"><![CDATA[&#8220;A Picture of Geometrical Reality&#8221;: Hilbert&#8217;s Axiomatic Conception of Geometry in the Light of Heinrich Hertz&#8217;s Bildtheorie]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Giovannini]]></surname>
<given-names><![CDATA[Eduardo N.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Nacional del Litoral  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Argentina</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2012</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2012</year>
</pub-date>
<volume>44</volume>
<numero>131</numero>
<fpage>27</fpage>
<lpage>53</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0011-15032012000200027&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0011-15032012000200027&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0011-15032012000200027&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen El artículo presenta una interpretación del abordaje axiomático temprano a la geometría de David Hilbert, i.e., el desarrollado entre 1891 y 1905. Se sostiene que diversos aspectos de este abordaje, a primera vista problemáticos, se pueden comprender mejor si se contrastan con una de sus influencias más importantes en este periodo: la teoría pictórica [Bildtheorie] de Heinrich Hertz. En particular se argumenta que un análisis de la concepción axiomática de Hilbert a la luz de la teoría de Hertz permite aliviar ciertas tensiones en la concepción hilbertiana; más precisamente, las tensiones que surgen de mantener, al mismo tiempo, una posición axiomática abstracta o formal y una concepción empirista de la geometría, que la considera una ciencia natural.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Summary The paper outlines an interpretation of David Hilbert's early axiomatic approach to geometry, i.e., the one developed between 1891 and 1905. It is argued that several aspects of this approach, which could be initially seen as problematic, can be better understood when Hilbert's view is contrasted with one of its most important influences in this period: Heinrich Hertz's "picture theory" [Bildtheorie]. Especially, it will be claimed that an examination of Hilbert's axiomatic conception in the light of the Hertzian view of mechanical theories can be used to relieve the former from certain manifest tensions; more precisely, the tensions that arise when maintaining, at the same time, an abstract or formal axiomatic position and an empiricist view of geometry, which regards it as a kind of natural science.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[filosofía de la geometría]]></kwd>
<kwd lng="es"><![CDATA[método axiomático]]></kwd>
<kwd lng="es"><![CDATA[empirismo]]></kwd>
<kwd lng="es"><![CDATA[intuición]]></kwd>
<kwd lng="es"><![CDATA[formalismo]]></kwd>
<kwd lng="en"><![CDATA[philosophy of geometry]]></kwd>
<kwd lng="en"><![CDATA[axiomatic method]]></kwd>
<kwd lng="en"><![CDATA[empiricism]]></kwd>
<kwd lng="en"><![CDATA[intuition]]></kwd>
<kwd lng="en"><![CDATA[formalism]]></kwd>
</kwd-group>
</article-meta>
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