Speaking with shadows: a study of neo-logicismCitation formats

Standard

Speaking with shadows: a study of neo-logicism. / MacBride, Fraser.

In: British Journal for the Philosophy of Science, Vol. 54, No. 1, 01.03.2003, p. 103-163.

Research output: Contribution to journalArticle

Harvard

MacBride, F 2003, 'Speaking with shadows: a study of neo-logicism', British Journal for the Philosophy of Science, vol. 54, no. 1, pp. 103-163. https://doi.org/10.1093/bjps/54.1.103

APA

MacBride, F. (2003). Speaking with shadows: a study of neo-logicism. British Journal for the Philosophy of Science, 54(1), 103-163. https://doi.org/10.1093/bjps/54.1.103

Vancouver

MacBride F. Speaking with shadows: a study of neo-logicism. British Journal for the Philosophy of Science. 2003 Mar 1;54(1):103-163. https://doi.org/10.1093/bjps/54.1.103

Author

MacBride, Fraser. / Speaking with shadows: a study of neo-logicism. In: British Journal for the Philosophy of Science. 2003 ; Vol. 54, No. 1. pp. 103-163.

Bibtex

@article{82a4df7273d845188af590cdd21ed275,
title = "Speaking with shadows: a study of neo-logicism",
abstract = "According to the species of neo?logicism advanced by Hale and Wright, mathematical knowledge is essentially logical knowledge. Their view is found to be best understood as a set of related though independent theses: (1) neo?fregeanism--a general conception of the relation between language and reality; (2) the method of abstraction--a particular method for introducing concepts into language; (3) the scope of logic--second?order logic is logic. The criticisms of Boolos, Dummett, Field and Quine (amongst others) of these theses are explicated and assessed. The issues discussed include reductionism, rejectionism, the Julius Caesar problem, the Bad Company objections, and the charge that second?order logic is set theory in disguise. The irresistible metaphor is that pure abstract objects [?] are no more than shadows cast by the syntax of our discourse. And the aptness of the metaphor is enhanced by the reflection that shadows are, after their own fashion, real. (Crispin Wright [1992], p. 181?2) But I feel conscious that many a reader will scarcely recognise in the shadowy forms which I bring before him his numbers which all his life long have accompanied him as faithful and familiar friends; (Richard Dedekind [1963], p. 33)",
author = "Fraser MacBride",
year = "2003",
month = "3",
day = "1",
doi = "10.1093/bjps/54.1.103",
language = "English",
volume = "54",
pages = "103--163",
journal = "British Journal for the Philosophy of Science",
issn = "0007-0882",
publisher = "Oxford University Press",
number = "1",

}

RIS

TY - JOUR

T1 - Speaking with shadows: a study of neo-logicism

AU - MacBride, Fraser

PY - 2003/3/1

Y1 - 2003/3/1

N2 - According to the species of neo?logicism advanced by Hale and Wright, mathematical knowledge is essentially logical knowledge. Their view is found to be best understood as a set of related though independent theses: (1) neo?fregeanism--a general conception of the relation between language and reality; (2) the method of abstraction--a particular method for introducing concepts into language; (3) the scope of logic--second?order logic is logic. The criticisms of Boolos, Dummett, Field and Quine (amongst others) of these theses are explicated and assessed. The issues discussed include reductionism, rejectionism, the Julius Caesar problem, the Bad Company objections, and the charge that second?order logic is set theory in disguise. The irresistible metaphor is that pure abstract objects [?] are no more than shadows cast by the syntax of our discourse. And the aptness of the metaphor is enhanced by the reflection that shadows are, after their own fashion, real. (Crispin Wright [1992], p. 181?2) But I feel conscious that many a reader will scarcely recognise in the shadowy forms which I bring before him his numbers which all his life long have accompanied him as faithful and familiar friends; (Richard Dedekind [1963], p. 33)

AB - According to the species of neo?logicism advanced by Hale and Wright, mathematical knowledge is essentially logical knowledge. Their view is found to be best understood as a set of related though independent theses: (1) neo?fregeanism--a general conception of the relation between language and reality; (2) the method of abstraction--a particular method for introducing concepts into language; (3) the scope of logic--second?order logic is logic. The criticisms of Boolos, Dummett, Field and Quine (amongst others) of these theses are explicated and assessed. The issues discussed include reductionism, rejectionism, the Julius Caesar problem, the Bad Company objections, and the charge that second?order logic is set theory in disguise. The irresistible metaphor is that pure abstract objects [?] are no more than shadows cast by the syntax of our discourse. And the aptness of the metaphor is enhanced by the reflection that shadows are, after their own fashion, real. (Crispin Wright [1992], p. 181?2) But I feel conscious that many a reader will scarcely recognise in the shadowy forms which I bring before him his numbers which all his life long have accompanied him as faithful and familiar friends; (Richard Dedekind [1963], p. 33)

U2 - 10.1093/bjps/54.1.103

DO - 10.1093/bjps/54.1.103

M3 - Article

VL - 54

SP - 103

EP - 163

JO - British Journal for the Philosophy of Science

JF - British Journal for the Philosophy of Science

SN - 0007-0882

IS - 1

ER -