Nominalism and Mathematical Objectivity

Cite This

Files in this item

Files Size Format View

There are no files associated with this item.

LUO, Guanglong, 2022. Nominalism and Mathematical Objectivity. In: Axiomathes. Springer. 33(4). ISSN 1122-1151. eISSN 1572-8390. Available under: doi: 10.1007/s10516-022-09637-z

@article{Luo2022-10Nomin-59127, title={Nominalism and Mathematical Objectivity}, year={2022}, doi={10.1007/s10516-022-09637-z}, number={4}, volume={33}, issn={1122-1151}, journal={Axiomathes}, author={Luo, Guanglong} }

<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/rdf/resource/123456789/59127"> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/40"/> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2022-11-11T14:46:17Z</dc:date> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/40"/> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/59127"/> <dc:creator>Luo, Guanglong</dc:creator> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dcterms:abstract xml:lang="eng">We observe that Putnam’s model-theoretic argument against determinacy of the concept of second-order quantification or that of the set is harmless to the nominalist. It serves as a good motivation for the nominalist philosophy of mathematics. But in the end it can lead to a serious challenge to the nominalist account of mathematical objectivity if some minimal assumptions about the relation between mathematical objectivity and logical objectivity are made. We consider three strategies the nominalist might take to meet this challenge, and we argue that all these strategies are untenable.</dcterms:abstract> <dcterms:issued>2022-10</dcterms:issued> <dc:rights>Attribution 4.0 International</dc:rights> <dcterms:title>Nominalism and Mathematical Objectivity</dcterms:title> <dc:contributor>Luo, Guanglong</dc:contributor> <dc:language>eng</dc:language> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2022-11-11T14:46:17Z</dcterms:available> <dcterms:rights rdf:resource="http://creativecommons.org/licenses/by/4.0/"/> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> </rdf:Description> </rdf:RDF>

This item appears in the following Collection(s)

Attribution 4.0 International Except where otherwise noted, this item's license is described as Attribution 4.0 International

Search KOPS


Browse

My Account