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How are Mathematical Objects Constituted? A Structuralist Answer

University of Konstanz, GERMANY, KOPS

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Title How are Mathematical Objects Constituted? A Structuralist Answer
Creator Spohn, Wolfgang
Subject Philosophy
Description 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")
Publisher Universit├Ąt Konstanz
Fachbereich Philosophie. Fachbereich Philosophie
Date 2006
Type InProceedings
Format application/pdf
Identifier urn:nbn:de:bsz:352-opus-59740
Source Paper contrib. to the sections of: GAP. 6 Philosophie - Grundlagen und Anwendungen, Berlin, 11.-14.9.2006, pp. 106-119
Language eng