How are Mathematical Objects Constituted? A Structuralist Answer

Spohn, Wolfgang

How are Mathematical Objects Constituted? A Structuralist Answer

Dateien

Spohn_2006_How_are_Mathematical.pdfGröße: 394.45 KBDownloads: 133

Datum

2006

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Philosophie

Publikationstyp

Beitrag zu einem Konferenzband

Publikationsstatus

Published

Erschienen in

GAP. 6 Philosophie - Grundlagen und Anwendungen, Berlin, 11.-14.9.2006. 2006, pp. 106-119

Zusammenfassung

The paper proposes to amend structuralism in mathematics by saying what places in a structure and thus mathematical objects are. They are the objects of the canonical system realizing a categorical structure, where that canonical system is a minimal system in a specific essentialistic sense. It would thus be a basic ontological axiom that such a canonical system always exists. This way of conceiving mathematical objects is underscored by a defense of an essentialistic version of Leibniz principle according to which each object is uniquely characterized by its proper and possibly relational essence (where proper means not referring to identity")

Fachgebiet (DDC)

100 Philosophie

Konferenz

GAP. 6, 11. Sept. 2006 - 14. Sept. 2006, Berlin

Zitieren

ISO 690

SPOHN, Wolfgang, 2006. How are Mathematical Objects Constituted? A Structuralist Answer. GAP. 6. Berlin, 11. Sept. 2006 - 14. Sept. 2006. In: GAP. 6 Philosophie - Grundlagen und Anwendungen, Berlin, 11.-14.9.2006. 2006, pp. 106-119

BibTex

@inproceedings{Spohn2006Mathe-3504,
  year={2006},
  title={How are Mathematical Objects Constituted? A Structuralist Answer},
  booktitle={GAP. 6 Philosophie - Grundlagen und Anwendungen, Berlin, 11.-14.9.2006},
  pages={106--119},
  author={Spohn, Wolfgang}
}

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/123456789/3504">
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dc:language>eng</dc:language>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-23T13:46:34Z</dc:date>
    <dc:contributor>Spohn, Wolfgang</dc:contributor>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/3504/1/Spohn_2006_How_are_Mathematical.pdf"/>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/40"/>
    <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/3504"/>
    <dcterms:title>How are Mathematical Objects Constituted? A Structuralist Answer</dcterms:title>
    <dcterms:abstract xml:lang="eng">The paper proposes to amend structuralism in mathematics by saying what places in a structure and thus mathematical objects are. They are the objects of the canonical system realizing a categorical structure, where that canonical system is a minimal system in a specific essentialistic sense. It would thus be a basic ontological axiom that such a canonical system always exists. This way of conceiving mathematical objects is underscored by a defense of an essentialistic version of Leibniz  principle according to which each object is uniquely characterized by its proper and possibly relational essence (where  proper  means  not referring to identity")</dcterms:abstract>
    <dcterms:bibliographicCitation>Paper contribution to the sections of: GAP. 6 Philosophie - Grundlagen und Anwendungen, Berlin, 11.-14.9.2006, pp. 106-119</dcterms:bibliographicCitation>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dc:rights>terms-of-use</dc:rights>
    <dc:format>application/pdf</dc:format>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:creator>Spohn, Wolfgang</dc:creator>
    <dcterms:issued>2006</dcterms:issued>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/3504/1/Spohn_2006_How_are_Mathematical.pdf"/>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/40"/>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-23T13:46:34Z</dcterms:available>
  </rdf:Description>
</rdf:RDF>

Universitätsbibliographie

Ja