<?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>S0011-15032025000100087</article-id>
<article-id pub-id-type="doi">10.22201/iifs.18704905e.2025.1666</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Plausibilidad y demostración en el teorema de recurrencia de Poincaré]]></article-title>
<article-title xml:lang="en"><![CDATA[Plausibility and Argumentation in Poincaré&#8217;s Recurrence Theorem]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Alvarado-Flores]]></surname>
<given-names><![CDATA[Rolando]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Centro de Estudios Multidisciplinarios &#8220;Ma. Rosa Flores&#8221;, A.C.  ]]></institution>
<addr-line><![CDATA[Zacatecas ]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2025</year>
</pub-date>
<volume>57</volume>
<numero>169</numero>
<fpage>87</fpage>
<lpage>117</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0011-15032025000100087&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0011-15032025000100087&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0011-15032025000100087&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen El objetivo del presente artículo es mostrar que los ejemplos que se introducen para dar plausibilidad a un teorema no se ven afectados por el cambio histórico que acontece en los marcos conceptuales y los estilos de práctica de las matemáticas. Para ilustrar este punto, utilizo el teorema de recurrencia de Poincaré y su corolario, que en conjunto desafían y superan el &#8220;razonamiento genérico&#8221; que dominó la producción de teoremas durante el siglo XIX.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Summary The aim of this paper is to show that the examples introduced to give a theorem plausibility are not affected by the historical change in conceptual frameworks and styles of mathematical practice. To illustrate this point, I use Poincaré&#8217;s recurrence theorem and its corollary, which taken together challenge and surpass the &#8220;generic reasoning&#8221; that dominated the production of theorems during the XIX century.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[generalidad matemática]]></kwd>
<kwd lng="es"><![CDATA[demostración matemática]]></kwd>
<kwd lng="es"><![CDATA[historia de las matemáticas]]></kwd>
<kwd lng="es"><![CDATA[Imre Lakatos]]></kwd>
<kwd lng="es"><![CDATA[razonamiento genérico]]></kwd>
<kwd lng="en"><![CDATA[mathematical generality]]></kwd>
<kwd lng="en"><![CDATA[mathematical demonstration]]></kwd>
<kwd lng="en"><![CDATA[history of mathematics]]></kwd>
<kwd lng="en"><![CDATA[Imre Lakatos]]></kwd>
<kwd lng="en"><![CDATA[generic reasoning]]></kwd>
</kwd-group>
</article-meta>
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<surname><![CDATA[Wallace]]></surname>
<given-names><![CDATA[David]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Recurrence Theorems: A Unified Account]]></article-title>
<source><![CDATA[Journal of Math. Phys.]]></source>
<year>2015</year>
<volume>56</volume>
<numero>2</numero>
<issue>2</issue>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
