The significance of Quine's new foundations for the philosophy of set theory

This paper examines Quine's set theory, New Foundations (NF), in the context of contemporary philosophy of set theory. Almost unanimously, philosophers of set theory now take the iterative conception, embodied in the axioms of Zermelo-Fraenkel set theory, to be the correct account of set. NF re...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Morris, Sean [verfasserIn]

Format:	Artikel
Sprache:	Englisch

Erschienen:	2017

Rechteinformationen:	Nutzungsrecht: © COPYRIGHT 2017 Hegeler Institute

Schlagwörter:	Analysis Philosophy Logic Set theory Metaphysics Pragmatism Mathematics

Systematik:	CA 1000:

Übergeordnetes Werk:	Enthalten in: The monist - Oxford : Oxford University Press, 1890, 100(2017), 2, Seite 167
Übergeordnetes Werk:	volume:100 ; year:2017 ; number:2 ; pages:167

Links:	Volltext Link aufrufen

DOI / URN:	10.1093/monist/onx002

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title_sort	significance of quine's new foundations for the philosophy of set theory
title_auth	The significance of Quine's new foundations for the philosophy of set theory
abstract	This paper examines Quine's set theory, New Foundations (NF), in the context of contemporary philosophy of set theory. Almost unanimously, philosophers of set theory now take the iterative conception, embodied in the axioms of Zermelo-Fraenkel set theory, to be the correct account of set. NF represents a more pragmatic methodology, where set theory is developed in response to the needs of mathematics rather than in accord with some prior philosophical conception of set theory. Quine's approach provides a critique of the more metaphysical ones that have won out in the philosophy of set theory over roughly the last fifty years.
abstractGer	This paper examines Quine's set theory, New Foundations (NF), in the context of contemporary philosophy of set theory. Almost unanimously, philosophers of set theory now take the iterative conception, embodied in the axioms of Zermelo-Fraenkel set theory, to be the correct account of set. NF represents a more pragmatic methodology, where set theory is developed in response to the needs of mathematics rather than in accord with some prior philosophical conception of set theory. Quine's approach provides a critique of the more metaphysical ones that have won out in the philosophy of set theory over roughly the last fifty years.
abstract_unstemmed	This paper examines Quine's set theory, New Foundations (NF), in the context of contemporary philosophy of set theory. Almost unanimously, philosophers of set theory now take the iterative conception, embodied in the axioms of Zermelo-Fraenkel set theory, to be the correct account of set. NF represents a more pragmatic methodology, where set theory is developed in response to the needs of mathematics rather than in accord with some prior philosophical conception of set theory. Quine's approach provides a critique of the more metaphysical ones that have won out in the philosophy of set theory over roughly the last fifty years.
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title_short	The significance of Quine's new foundations for the philosophy of set theory
url	http://dx.doi.org/10.1093/monist/onx002 https://search.proquest.com/docview/1895874006
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doi_str	10.1093/monist/onx002
up_date	2024-07-03T17:00:12.660Z
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