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Titlebook: Wittgenstein’s Annotations to Hardy’s Course of Pure Mathematics; An Investigation of Juliet Floyd,Felix Mühlhölzer Book 2020 Springer Nat

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书目名称Wittgenstein’s Annotations to Hardy’s Course of Pure Mathematics
副标题An Investigation of
编辑Juliet Floyd,Felix Mühlhölzer
视频video
概述Examines the annotations that Ludwig Wittgenstein made to his copy of G.H. Hardy’s classic textbook, A Course of Pure Mathematics.Features images of the annotations.Explores Wittgenstein’s later philo
丛书名称Nordic Wittgenstein Studies
图书封面Titlebook: Wittgenstein’s Annotations to Hardy’s Course of Pure Mathematics; An Investigation of  Juliet Floyd,Felix Mühlhölzer Book 2020 Springer Nat
描述.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, the law of excluded middle in mathematics and the notion of an “improper picture," the continuum of real numbers, and Wittgenstein’s attitude toward functions and limits..
出版日期Book 2020
关键词Wittgenstein; G; H; Hardy; Philosophy of Mathematics; Dedekind; Philosophy of Real Numbers; Non-extensiona
版次1
doihttps://doi.org/10.1007/978-3-030-48481-1
isbn_softcover978-3-030-48483-5
isbn_ebook978-3-030-48481-1Series ISSN 2520-1514 Series E-ISSN 2520-1522
issn_series 2520-1514
copyrightSpringer Nature Switzerland AG 2020
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978-3-030-48483-5Springer Nature Switzerland AG 2020
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Wittgenstein’s Annotations to Hardy’s Course of Pure Mathematics978-3-030-48481-1Series ISSN 2520-1514 Series E-ISSN 2520-1522
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Irrational Numbers: The Annotations on pp. 2–9, with CommentaryAn analysis of Wittgenstein’s annotations to Hardy’s . pp. 2–9, with commentary on each. Themes treated include the notion of an “application” of mathematics, Wittgenstein’s remarks about Hardy’s “nonsense”, and Wittgenstein’s remarks about proofs of the irrationality of ., as well as the idea of a “phantasmagoric” application of mathematics.
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