<?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>S0011-15032025000200099</article-id>
<article-id pub-id-type="doi">10.22201/iifs.18704905e.2025.1694</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Explanatory Proofs and Grounding in Mathematics: A Reply to Maarefi]]></article-title>
<article-title xml:lang="es"><![CDATA[Pruebas explicativas y fundamentación en matemáticas: una respuesta a Maarefi]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Lange]]></surname>
<given-names><![CDATA[Marc]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Rutgers University Department of Philosophy ]]></institution>
<addr-line><![CDATA[New Brunswick New Jersey]]></addr-line>
<country>USA</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>170</numero>
<fpage>99</fpage>
<lpage>113</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0011-15032025000200099&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0011-15032025000200099&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0011-15032025000200099&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Summary: Do explanatory proofs of theorems in mathematics derive their explanatory power by virtue of providing information about the grounds of the theorems they explain? I have argued that they do not (Lange 2019), and I have offered my own account of what makes certain mathematical proofs but not others able to explain why some theorem holds (Lange 2017). Recently, Maarefi (2025) has critiqued both these arguments and that account in support of a grounding-based conception of explanatory proofs. Here I respond to some of his critiques.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen: ¿Las demostraciones explicativas de teoremas en matemáticas derivan su poder explicativo en virtud de que proporcionan información sobre los fundamentos de los teoremas que explican? He argumentado que no (Lange 2019), y ofrezco mi propia explicación sobre lo que hace que algunas demostraciones matemáticas, y otras no, sean capaces de explicar por qué un teorema es válido (Lange 2017). Recientemente, Maarefi (2025) ha criticado tanto estos argumentos como esa explicación en apoyo de una concepción de las demostraciones explicativas basada en fundamentos. A continuación respondo a algunas de sus críticas.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[explanation in mathematics]]></kwd>
<kwd lng="en"><![CDATA[ground]]></kwd>
<kwd lng="en"><![CDATA[mathematical coincidence]]></kwd>
<kwd lng="en"><![CDATA[mathematical practice]]></kwd>
<kwd lng="en"><![CDATA[proof]]></kwd>
<kwd lng="es"><![CDATA[explicación en matemáticas]]></kwd>
<kwd lng="es"><![CDATA[fundamento]]></kwd>
<kwd lng="es"><![CDATA[coincidencia matemática]]></kwd>
<kwd lng="es"><![CDATA[práctica matemática]]></kwd>
<kwd lng="es"><![CDATA[demostración]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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