Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : sans médiation
Auteur(s) : Field, Hartry (1946-....)
Titre(s) : Science without numbers [Texte imprimé] : a defense of nominalism / Hartry Field
Édition : Second edition
Publication : Oxford : Oxford university press, 2016
Description matérielle : 1 vol. (vi-P-53 et vi-111 p.) : illustrations ; 23 cm
Note(s) : Bibliogr. p. [P-51]-P-53 et [107]-108. Notes bibliogr. Index
"Science Without Numbers caused a stir in philosophy on its original publication in
1980, with its bold nominalist approach to the ontology of mathematics and science.
Hartry Field argues that we can explain the utility of mathematics without assuming
it true. Part of the argument is that good mathematics has a special feature ('conservativeness')
that allows it to be applied to 'nominalistic' claims (roughly, those neutral to the
existence of mathematical entities) in a way that generates nominalistic consequences
more easily without generating any new ones. Field goes on to argue that we can axiomatize
physical theories using nominalistic claims only, and that in fact this has advantages
over the usual axiomatizations that are independent of nominalism. There has been
much debate about the book since it first appeared. It is now reissued in a revised
contains a substantial new preface giving the author's current views on the original
book and the issues that were raised in the subsequent discussion of it."
Sujet(s) : Mathématiques -- Philosophie
Nominalisme
Indice(s) Dewey :
501 (23e éd.) = Sciences naturelles et mathématiques - Philosophie et théorie
Identifiants, prix et caractéristiques : ISBN 0198777914. - ISBN 9780198777915. - ISBN 0198777922. - ISBN 9780198777922
Identifiant de la notice : ark:/12148/cb469252319
Notice n° :
FRBNF46925231
(notice reprise d'un réservoir extérieur)
Table des matières : New to this edition -- ; Arithmetic and cardinality quantifiers -- ; Mereology and
logic -- ; Representation theorems -- ; Conservativeness -- ; Indispensability --
; Other forms of anti-Platonism -- ; Miscellaneous technicalia -- ; Contents for the
first edition -- ; Preliminary remarks -- ; Why the utility of Mathematical entities
is unlike the utility of theoretical entities ; Appendix: on conservativeness -- ;
First illustration of why Mathematical entities are useful: Arithmetic -- ; Second
illustration of why mathematical entities are useful: Geometry and distance -- ; Nominalism
and the structure of physical space -- ; My strategy for nominalizing Physics, and
its advantages -- ; A nominalistic treatment of Newtonian space-time -- ; A nominalistic
treatment of quantities, and a preview of a nominalistic treatment of the laws involving
them -- ; Newtonian Gravitational Theory nominalized -- ; Continuity -- ; Products
and ratios -- ; Signed products and ratios -- ; Derivatives -- ; Second (and higher)
derivatives -- ; Laplaceans -- ; Poisson's equation -- ; Inner products -- ; Gradients
-- ; Differentiation of Vector Fields -- ; The Law of Motion -- ; General Remarks
-- ; Logic and ontology.
