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Titel
Thin Objects: An Abstractionist Account by Øystein Linnebo
OXFORD UNIVERSITY PRESS, 2018, 256 PP., $72.00, ISBN: 9780199641314
Abstract
Realism within philosophy of mathematics comes in different guises. It concerns both the language of mathematics, so that mathematical propositions have objective truth-values, and the subject-matter of mathematics, so that propositions purport to describe and quantify over objectively existing objects. The two combined have usually been connected to mathematical platonism and the views of Plato, Gottlob Frege, or Kurt Gödel. On the object realist side of mathematical platonism, you find a certain analogy between mathematical reality and physical reality, so that the existence of mathematical objects is likened to the existence of physical objects. The existence of the number 2 is thus allied to the existence of the chair I am sitting on. As the former is abstract and the latter is in space-time, this relatedness appears unlikely.
Stichwort
History and Philosophy of ScienceGeneral Mathematics
Objekt-Typ
Sprache
Englisch [eng]
Persistent identifier
https://phaidra.univie.ac.at/o:1176633
Erschienen in
Titel
The Mathematical Intelligencer
ISSN
0343-6993
Erscheinungsdatum
2021
Seitenanfang
1
Seitenende
7
Verlag
Springer Science and Business Media LLC
Projektnummer
715222 – European Union (all programmes)
Erscheinungsdatum
2021
Zugänglichkeit
Rechteangabe
© The Author(s)

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