Publikation:

How are Mathematical Objects Constituted? A Structuralist Answer

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Spohn_2006_How_are_Mathematical.pdf
Spohn_2006_How_are_Mathematical.pdfGröße: 394.45 KBDownloads: 140

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2006

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http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-59740
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Open Access Green

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Philosophie: Publikationen
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Titel in einer weiteren Sprache

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Beitrag zu einem Konferenzband
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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")

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
100 Philosophie

Schlagwörter

Konferenz

GAP. 6, 11. Sept. 2006 - 14. Sept. 2006, Berlin
Rezension
undefined / . - undefined, undefined

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ISO 690SPOHN, 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}
}
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