Russell and Fine on Variable Objects

dc.contributor.authorHorsten, Leon
dc.contributor.authorIto, Ryo
dc.date.accessioned2026-01-12T09:40:41Z
dc.date.available2026-01-12T09:40:41Z
dc.date.issued2023
dc.description.abstractIn this article we compare Fine’s theory of arbitrary objects with the theory of variables that Russell formulated in his Principles of Mathematics. We argue that Russell’s early theory of variables can be seen as a prefiguration of Fine’s theory of arbitrary objects. The main difference between Russell’s theory and Fine’s account lies in their account of dependence relations between variables. Fine develops a stable view of dependence between arbitrary objects, whereas no such view is presented in Principles of Mathematics. We then sketch how Russell developed the notion of dependence between arbitrary objects in some of his subsequent works.
dc.description.versionpublisheddeu
dc.identifier.doi10.1007/978-3-031-29415-0_29
dc.identifier.urihttps://kops.uni-konstanz.de/handle/123456789/75627
dc.language.isoeng
dc.subjectArbitrary objects
dc.subjectVariables
dc.subjectKit Fine
dc.subjectRussell
dc.subjectPrincipia Mathematica
dc.subject.ddc100
dc.titleRussell and Fine on Variable Objectseng
dc.typeINCOLLECTION
dspace.entity.typePublication
kops.citation.bibtex
@incollection{Horsten2023Russe-75627,
  title={Russell and Fine on Variable Objects},
  year={2023},
  doi={10.1007/978-3-031-29415-0_29},
  number={26},
  isbn={978-3-031-29414-3},
  address={Cham},
  publisher={Springer},
  series={Outstanding Contributions to Logic (OCTR)},
  booktitle={Kit Fine on Truthmakers, Relevance, and Non-classical Logic},
  pages={691--704},
  editor={Faroldi, Federico L. G. and Van De Putte, Frederik},
  author={Horsten, Leon and Ito, Ryo}
}
kops.citation.iso690HORSTEN, Leon, Ryo ITO, 2023. Russell and Fine on Variable Objects. In: FAROLDI, Federico L. G., Hrsg., Frederik VAN DE PUTTE, Hrsg.. Kit Fine on Truthmakers, Relevance, and Non-classical Logic. Cham: Springer, 2023, S. 691-704. Outstanding Contributions to Logic (OCTR). 26. ISBN 978-3-031-29414-3. Verfügbar unter: doi: 10.1007/978-3-031-29415-0_29deu
kops.citation.iso690HORSTEN, Leon, Ryo ITO, 2023. Russell and Fine on Variable Objects. In: FAROLDI, Federico L. G., ed., Frederik VAN DE PUTTE, ed.. Kit Fine on Truthmakers, Relevance, and Non-classical Logic. Cham: Springer, 2023, pp. 691-704. Outstanding Contributions to Logic (OCTR). 26. ISBN 978-3-031-29414-3. Available under: doi: 10.1007/978-3-031-29415-0_29eng
kops.citation.rdf
<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bibo="http://purl.org/ontology/bibo/"
    xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
    xmlns:foaf="http://xmlns.com/foaf/0.1/"
    xmlns:void="http://rdfs.org/ns/void#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/75627">
    <dc:language>eng</dc:language>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2026-01-12T09:40:41Z</dcterms:available>
    <dcterms:issued>2023</dcterms:issued>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dc:contributor>Horsten, Leon</dc:contributor>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2026-01-12T09:40:41Z</dc:date>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/75627"/>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/40"/>
    <dc:contributor>Ito, Ryo</dc:contributor>
    <dcterms:title>Russell and Fine on Variable Objects</dcterms:title>
    <dc:creator>Horsten, Leon</dc:creator>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:creator>Ito, Ryo</dc:creator>
    <dcterms:abstract>In this article we compare Fine’s theory of arbitrary objects with the theory of variables that Russell formulated in his Principles of Mathematics. We argue that Russell’s early theory of variables can be seen as a prefiguration of Fine’s theory of arbitrary objects. The main difference between Russell’s theory and Fine’s account lies in their account of dependence relations between variables. Fine develops a stable view of dependence between arbitrary objects, whereas no such view is presented in Principles of Mathematics. We then sketch how Russell developed the notion of dependence between arbitrary objects in some of his subsequent works.</dcterms:abstract>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/40"/>
  </rdf:Description>
</rdf:RDF>
kops.flag.knbibliographytrue
kops.sourcefieldFAROLDI, Federico L. G., Hrsg., Frederik VAN DE PUTTE, Hrsg.. <i>Kit Fine on Truthmakers, Relevance, and Non-classical Logic</i>. Cham: Springer, 2023, S. 691-704. Outstanding Contributions to Logic (OCTR). 26. ISBN 978-3-031-29414-3. Verfügbar unter: doi: 10.1007/978-3-031-29415-0_29deu
kops.sourcefield.plainFAROLDI, Federico L. G., Hrsg., Frederik VAN DE PUTTE, Hrsg.. Kit Fine on Truthmakers, Relevance, and Non-classical Logic. Cham: Springer, 2023, S. 691-704. Outstanding Contributions to Logic (OCTR). 26. ISBN 978-3-031-29414-3. Verfügbar unter: doi: 10.1007/978-3-031-29415-0_29deu
kops.sourcefield.plainFAROLDI, Federico L. G., ed., Frederik VAN DE PUTTE, ed.. Kit Fine on Truthmakers, Relevance, and Non-classical Logic. Cham: Springer, 2023, pp. 691-704. Outstanding Contributions to Logic (OCTR). 26. ISBN 978-3-031-29414-3. Available under: doi: 10.1007/978-3-031-29415-0_29eng
relation.isAuthorOfPublication7a655380-a594-49b4-a5bb-d3a6adc1f18a
relation.isAuthorOfPublication.latestForDiscovery7a655380-a594-49b4-a5bb-d3a6adc1f18a
source.bibliographicInfo.fromPage691
source.bibliographicInfo.seriesNumber26
source.bibliographicInfo.toPage704
source.contributor.editorFaroldi, Federico L. G.
source.contributor.editorVan De Putte, Frederik
source.identifier.isbn978-3-031-29414-3
source.publisherSpringer
source.publisher.locationCham
source.relation.ispartofseriesOutstanding Contributions to Logic (OCTR)
source.titleKit Fine on Truthmakers, Relevance, and Non-classical Logic

Dateien