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Wittgenstein Annotations to Hardy Course of Pure Mathematics An Investigation of Wittgenstein Non Extensionalist Understanding of the Real Numbers 1st Edition by Juliet Floyd, Felix Mühlhölzer ISBN 9783030484811 3030484815

Name: Wittgenstein Annotations to Hardy Course of Pure Mathematics An Investigation of Wittgenstein Non Extensionalist Understanding of the Real Numbers 1st Edition by Juliet Floyd, Felix Mühlhölzer ISBN 9783030484811 3030484815
SKU: EB-22505854
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Wittgenstein s Annotations to Hardy s Course of Pure Mathematics An Investigation of Wittgenstein s Non Extensionalist Understanding of the Real Numbers Juliet Floyd Digital Instant Download

Author(s): Juliet Floyd, Felix Mühlhölzer

ISBN(s): 9783030484804, 9783030484811, 3030484807, 3030484815

Edition: 1st ed.

File Details: PDF, 5.84 MB

Year: 2020

Language: English

SKU: EB-22505854 Category: Mathematics Tags: Felix Mühlhölzer, Juliet Floyd

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Wittgenstein Annotations to Hardy Course of Pure Mathematics An Investigation of Wittgenstein Non Extensionalist Understanding of the Real Numbers 1st Edition by Juliet Floyd, Felix Mühlhölzer – Ebook PDF Instant Download/Delivery: 9783030484811 ,3030484815
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Product details:
ISBN 10: 3030484815
ISBN 13: 9783030484811
Author: Juliet Floyd, Felix Mühlhölzer

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.

Wittgenstein Annotations to Hardy Course of Pure Mathematics An Investigation of Wittgenstein Non Extensionalist Understanding of the Real Numbers 1st Edition Table of contents:

Part I. Overview

1. Introduction: The Context of the Annotations and Our Method of Approach

2. Wittgenstein’s Non-Extensionalist Point of View

Part II. Analysis of the Annotations

3. Irrational Numbers: The Annotations on pp. 2–9, with Commentary

4. The Law of the Excluded Middle: A Digression

5. The Continuum of Real Numbers: The Annotations on pp. 10–30, with Commentary

6. Functions and Limits: The Annotations on pp. 40–47 and 117–121, with Commentary

Part III. More onWittgenstein and the Real Numbers

7. Wittgenstein on Cantor’s Diagonal Method (Felix Mühlhölzer)

8. The Generality of Cantor’s Diagonal Procedure (Juliet Floyd)

Part IV. Wittgenstein’s Annotations to Hardy

9. Images, Transcripts and Translations of the Annotations

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