<?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>S0011-15032023000200057</article-id>
<article-id pub-id-type="doi">10.22201/iifs.18704905e.2023.1424</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Pureza del método y construcción de teorías: el caso de Kronecker y Dedekind en teoría algebraica de números]]></article-title>
<article-title xml:lang="en"><![CDATA[Purity of Method and Theory Building: The Case of Kronecker and Dedekind in Algebraic Number Theory]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Nigro Puente]]></surname>
<given-names><![CDATA[Guillermo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,ANEP IPA ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Uruguay</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2023</year>
</pub-date>
<volume>55</volume>
<numero>164</numero>
<fpage>57</fpage>
<lpage>91</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0011-15032023000200057&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0011-15032023000200057&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0011-15032023000200057&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[RESUMEN: La discusión sobre pureza del método suele enfatizar el estudio de demostraciones particulares de la práctica matemática. Una crítica a esta posición cuestiona el valor de la pureza al afirmar que el &#8220;progreso matemático&#8221; depende esencialmente del empleo de métodos impuros. Este artículo muestra que una perspectiva más holística, centrada en cómo las demandas de pureza pueden operar en la construcción de teorías autónomas, permite identificar un contexto donde la pureza del método adquiere valor en la práctica matemática. En particular, se muestra la relevancia de tales demandas en el caso de las teorías algebraicas de números de Kronecker y Dedekind.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[SUMMARY: The discussion of purity of method usually emphasizes the study of particular proofs of mathematical practice. A critique of this position questions the value of purity by claiming that &#8220;mathematical progress&#8221; depends essentially on the use of impure methods. This article shows that a more holistic perspective, focusing on how purity claims can operate in the construction of autonomous theories, allows us to identify a context where purity of method acquires value in mathematical practice. In particular, the relevance of such demands is shown in the case of Kronecker&#8217;s and Dedekind&#8217;s algebraic number theories.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[teorías autónomas]]></kwd>
<kwd lng="es"><![CDATA[progreso matemático]]></kwd>
<kwd lng="es"><![CDATA[concepción holística de la pureza del método]]></kwd>
<kwd lng="es"><![CDATA[aritmetización]]></kwd>
<kwd lng="es"><![CDATA[matemática pura]]></kwd>
<kwd lng="en"><![CDATA[autonomous theories]]></kwd>
<kwd lng="en"><![CDATA[mathematical progress]]></kwd>
<kwd lng="en"><![CDATA[holistic conception of the purity of the method]]></kwd>
<kwd lng="en"><![CDATA[arithmetization]]></kwd>
<kwd lng="en"><![CDATA[pure mathematics]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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<person-group person-group-type="author">
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<source><![CDATA[Gauss: zum Gedächtnis]]></source>
<year>1856</year>
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<article-title xml:lang=""><![CDATA[Zur funktionentheorie]]></article-title>
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</article>
