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Mathematics and the MindThe Logico-Epistemic Construction of Numbers

Mathematics and the Mind: The Logico-Epistemic Construction of Numbers [According to Ibn Sīnā’s epistemic standpoint, essences such as humanity or white cannot be formed by abstraction from perceiving concrete things; since as he argues above, when a specific human being or a white thing is present in the mind or more precisely in memory what is perceived is this individual being Zayd or that white thing. Moreover, how do we come to the general notion of number? For this kind of abstraction or rather extraction is not done in the first experience, at least another experience is needed; it is not a question of time though temporality is involved.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Mathematics and the MindThe Logico-Epistemic Construction of Numbers

Part of the SpringerBriefs in Philosophy Book Series
Mathematics and the Mind — Nov 19, 2015

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Publisher
Springer International Publishing
Copyright
© The Author(s) 2016
ISBN
978-3-319-25236-0
Pages
51 –68
DOI
10.1007/978-3-319-25238-4_5
Publisher site
See Chapter on Publisher Site

Abstract

[According to Ibn Sīnā’s epistemic standpoint, essences such as humanity or white cannot be formed by abstraction from perceiving concrete things; since as he argues above, when a specific human being or a white thing is present in the mind or more precisely in memory what is perceived is this individual being Zayd or that white thing. Moreover, how do we come to the general notion of number? For this kind of abstraction or rather extraction is not done in the first experience, at least another experience is needed; it is not a question of time though temporality is involved.]

Published: Nov 19, 2015

Keywords: Equivalence Class; Intentional Object; Plural Noun; Concrete Thing; Epistemic Subject

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