<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-05-29T22:15:27Z</responseDate><request verb="GetRecord" identifier="oai:riuma.uma.es:10630/34254" metadataPrefix="mods">https://riuma.uma.es/rest/oai/request</request><GetRecord><record><header><identifier>oai:riuma.uma.es:10630/34254</identifier><datestamp>2026-02-03T11:06:46Z</datestamp><setSpec>com_10630_2254</setSpec><setSpec>col_10630_37953</setSpec></header><metadata><mods:mods xmlns:doc="http://www.lyncode.com/xoai" xmlns:mods="http://www.loc.gov/mods/v3" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-1.xsd">
   <mods:name>
      <mods:namePart>Ramírez Calle, Olga</mods:namePart>
   </mods:name>
   <mods:extension>
      <mods:dateAvailable encoding="iso8601">2024-10-03T09:05:21Z</mods:dateAvailable>
   </mods:extension>
   <mods:extension>
      <mods:dateAccessioned encoding="iso8601">2024-10-03T09:05:21Z</mods:dateAccessioned>
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   <mods:originInfo>
      <mods:dateIssued encoding="iso8601">2020</mods:dateIssued>
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   <mods:identifier type="citation">Ramírez Calle, O. (2020) Numbers, Empiricism and the Priori. Logos &amp; Episteme, 11 (2), 149-177. https://doi.org/10.5840/logos-episteme202011212</mods:identifier>
   <mods:identifier type="uri">https://hdl.handle.net/10630/34254</mods:identifier>
   <mods:identifier type="doi">https://doi.org/10.5840/logos-episteme202011212</mods:identifier>
   <mods:abstract>The present paper deals with the ontological status of numbers and considers Frege ́s proposal in Grundlagen upon the background of the Post-Kantian semantic turn in analytical philosophy. Through a more systematic study of his philosophical premises, it comes to unearth a first level paradox that would unset earlier still than it was exposed by Russell. It then studies an alternative path that, departing from Frege’s initial premises, drives to a conception of numbers as synthetic a priori in a more Kantian sense. On this basis, it tentatively explores a possible derivation of basic logical rules on their behalf, suggesting a more rudimentary basis to inferential thinking, which supports reconsidering the difference between logical thinking and AI. Finally, it reflects upon the contributions of this approach to the problem of the a priori.</mods:abstract>
   <mods:language>
      <mods:languageTerm>eng</mods:languageTerm>
   </mods:language>
   <mods:accessCondition type="useAndReproduction">http://creativecommons.org/licenses/by-nc-nd/4.0/</mods:accessCondition>
   <mods:accessCondition type="useAndReproduction">open access</mods:accessCondition>
   <mods:accessCondition type="useAndReproduction">Attribution-NonCommercial-NoDerivatives 4.0 Internacional</mods:accessCondition>
   <mods:subject>
      <mods:topic>Análisis filosófico</mods:topic>
   </mods:subject>
   <mods:subject>
      <mods:topic>Números</mods:topic>
   </mods:subject>
   <mods:subject>
      <mods:topic>Matemáticas - Filosofía</mods:topic>
   </mods:subject>
   <mods:titleInfo>
      <mods:title>Numbers, empiricism and the a priori</mods:title>
   </mods:titleInfo>
   <mods:genre>journal article</mods:genre>
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