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Poincaré, Philosopher of ScienceDoes the French Connection (Poincaré, Lautman) Provide Some Insights Facing the Thesis That Meta-mathematics Is an Exception to the Slogan That Mathematics Concerns Structures?

Poincaré, Philosopher of Science: Does the French Connection (Poincaré, Lautman) Provide Some... [There are at least two versions of modern structuralismstructuralism and each has its proper difficulties: if one adopts the in rein re version, the crucial feature is that the background ontology is not understood in structural terms; if one adopts the ante remante rem version, the crucial feature is that the talk about structures is exposed to a kind of third man objection.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Poincaré, Philosopher of ScienceDoes the French Connection (Poincaré, Lautman) Provide Some Insights Facing the Thesis That Meta-mathematics Is an Exception to the Slogan That Mathematics Concerns Structures?

Part of the The Western Ontario Series in Philosophy of Science Book Series (volume 79)
Editors: de Paz, María; DiSalle, Robert

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References (16)

Publisher
Springer Netherlands
Copyright
© Springer Science+Business Media Dordrecht 2014
ISBN
978-94-017-8779-6
Pages
113 –124
DOI
10.1007/978-94-017-8780-2_7
Publisher site
See Chapter on Publisher Site

Abstract

[There are at least two versions of modern structuralismstructuralism and each has its proper difficulties: if one adopts the in rein re version, the crucial feature is that the background ontology is not understood in structural terms; if one adopts the ante remante rem version, the crucial feature is that the talk about structures is exposed to a kind of third man objection.]

Published: Mar 12, 2014

Keywords: Mathematical Object; Ontological Commitment; Group Group; Mathematical Practice; Mathematical Entity

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