<?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>0185-2450</journal-id>
<journal-title><![CDATA[Diánoia]]></journal-title>
<abbrev-journal-title><![CDATA[Diánoia]]></abbrev-journal-title>
<issn>0185-2450</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional Autónoma de México, Instituto de Investigaciones Filosóficas]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0185-24502020000100111</article-id>
<article-id pub-id-type="doi">10.22201/iifs.18704913e.2020.84.1613</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[La naturaleza de las entidades matemáticas. Gassendi y Mersenne: objetores de Descartes]]></article-title>
<article-title xml:lang="en"><![CDATA[The Nature of Mathematical Entities. Descartes and His Detractors: Gassendi and Mersenne]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Velázquez Zaragoza]]></surname>
<given-names><![CDATA[Soledad Alejandra]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Nacional Autónoma de México Facultad de Estudios Superiores Acatlán ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2020</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2020</year>
</pub-date>
<volume>65</volume>
<numero>84</numero>
<fpage>111</fpage>
<lpage>133</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0185-24502020000100111&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0185-24502020000100111&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0185-24502020000100111&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen La naturaleza de las entidades matemáticas ha sido un problema filosófico recurrente en diversas épocas; aquí mostraré que fue una pieza clave en la definición de las posturas ontológicas durante la Modernidad temprana. La piedra de toque para la fundamentación de los conocimientos científicos fue el carácter que se atribuyó a las entidades matemáticas -y, en general, a las entidades abstractas, incluidas las lógicas- en la filosofía natural. Expongo dos posiciones de la Modernidad: la que defendió René Descartes, quien las concibió como entidades perennes, inherentes a la propia constitución y funcionamiento de la mente y la de autores como Pierre Gassendi y Marin Mersenne, quienes defendieron el origen empírico e instrumental de esas entidades.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract The status of mathematical entities has been a recurrent philosophical problem in different times; here I explain how it was a key piece in the definition of ontological positions during Early Modernity. The touchstone for the foundation of scientific knowledge was the character assigned to mathematical entities -and, in general, to abstract entities, including logical ones- within the natural philosophy. I sketch two modern positions: on the one hand, the one defended by René Descartes, who assigned mathematical items a status of perennial entities, inherent to the very constitution and operation of the mind and, on the other, the one supported by authors such as Pierre Gassendi and Marin Mersenne, who defended the empirical and instrumental origin of those entities.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[verdades eternas]]></kwd>
<kwd lng="es"><![CDATA[instrumentalismo]]></kwd>
<kwd lng="es"><![CDATA[entidades abstractas]]></kwd>
<kwd lng="es"><![CDATA[matemáticas]]></kwd>
<kwd lng="es"><![CDATA[críticos de Descartes]]></kwd>
<kwd lng="en"><![CDATA[eternal truths]]></kwd>
<kwd lng="en"><![CDATA[instrumentalism]]></kwd>
<kwd lng="en"><![CDATA[abstract entities]]></kwd>
<kwd lng="en"><![CDATA[mathematics]]></kwd>
<kwd lng="en"><![CDATA[polemicist of Descartes]]></kwd>
</kwd-group>
</article-meta>
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