Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : sans médiation
Auteur(s) : Floyd, Juliet (1960-....)
Mühlhölzer, Felix
Titre(s) : Wittgenstein's annotations to Hardy's "Course of pure mathematics" [Texte imprimé] : an investigation of Wittgenstein's non-extensionalist understanding of the real numbers / Juliet Floyd, Felix Mühlhölzer
Publication : Cham : Springer, copyright 2020
Description matérielle : 1 vol. (XX-322 p.) : fac-sim., ill. ; 24 cm
Collection : Nordic Wittgenstein studies, ISSN 2520-1514 ; 7
Lien à la collection : Nordic Wittgenstein studies
Note(s) : Bibliogr. p. 297-311. Notes bibliogr. Index
This monograph examines the private annotations that Ludwig Wittgenstein made to his
copy of G. H. Hardy's classic textbook, A Course of Pure Mathematics. Complete with
actual images of the annotations, it gives readers a more complete picture of Wittgenstein's
remarks on irrational numbers, which have only been published in an excerpted form
and, as a result, have often been unjustly criticized. The authors first establish
the context behind the annotations and discuss the historical role of Hardy's textbook.
They then go on to outline Wittgenstein's non-extensionalist point of view on real
numbers, assessing his manuscripts and published remarks and discussing attitudes
in play in the philosophy of mathematics since Dedekind. Next, coverage focuses on
the annotations themselves. The discussion encompasses irrational numbers (annotations
on pages 2-9 of the 1941 edition of Hardy's book), the law of excluded middle in mathematics
and the notion of an "improper picture," the continuum of real numbers (annotations
on pages 10-30), and Wittgenstein's attitude toward functions and limits, which scrutinizes
his annotations on pages 40-47 and 117-121 and examines their challenges and meaning
in light of underlying manuscripts. Overall, the authors show that Wittgenstein's
argumentation should not be taken to reject Dedekind cuts per se, but only a one-sided,
reductive extensionalism that belies actual mathematical practice. They discuss and
defend Wittgenstein's version of non-extensionalism and, in two final essays, debate
the nature and contemporary relevance of this view
Sujet(s) : Hardy, Godfrey Harold (1877-1947) -- Critique et interprétation
Wittgenstein, Ludwig (1889-1951) -- Mathématiques -- Philosophie
Hardy, Godfrey Harold (1877-1947). A course of pure mathematics
Nombres réels
Indice(s) Dewey :
192 (23e éd.) = Philosophie occidentale moderne - Îles britanniques
Identifiants, prix et caractéristiques : ISBN 9783030484804 (rel.). - ISBN 3030484807 (rel.)
EAN 9783030484804
Identifiant de la notice : ark:/12148/cb471201380
Notice n° :
FRBNF47120138
(notice reprise d'un réservoir extérieur)
