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University of Southern Denmark Research Output
Article . 2004
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Article . 2004
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Philosophia Mathematica
Article . 2004
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Ontology and Mathematical Practice†

Ontology and mathematical practice
descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 2004 English Publisher:Oxford University Press (OUP)Journal:Philosophia Mathematica, volume 12, pages 244-267 (issn: 0031-8019, eissn: 1744-6406, Copyright policy )
Authors: Carter, Jessica;

doi: 10.1093/philmat/12.3.244

Ontology and Mathematical Practice†

Abstract

Summary: In this paper I propose a position in the ontology of mathematics which is inspired mainly by a case study in the mathematical discipline if-theory. The main theses of this position are that mathematical objects are introduced by mathematicians and that after mathematical objects have been introduced, they exist as objectively accessible abstract objects

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Philosophy of mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Top 10%
Top 10%
Average
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