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Author: Mathieu Marion
Publisher: OUP Oxford
ISBN: 0191568325
Category : Philosophy
Languages : en
Pages : 272
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Book Description
Mathieu Marion offers a careful, historically informed study of Wittgenstein's philosophy of mathematics. This area of his work has frequently been undervalued by Wittgenstein specialists and by philosophers of mathematics alike; but the surprising fact that he wrote more on this subject than on any other indicates its centrality in his thought. Marion traces the development of Wittgenstein's thinking in the context of the mathematical and philosophical work of the times, to make coherent sense of ideas that have too often been misunderstood because they have been presented in a disjointed and incomplete way. In particular, he illuminates the work of the neglected 'transitional period' between the Tractatus and the Investigations. Marion shows that study of Wittgenstein's writings on mathematics is essential to a proper understanding of his philosophy; and he also demonstrates that it has much to contribute to current debates about the foundations of mathematics.
Author: Mathieu Marion
Publisher: OUP Oxford
ISBN: 0191568325
Category : Philosophy
Languages : en
Pages : 272
Get Book Here
Book Description
Mathieu Marion offers a careful, historically informed study of Wittgenstein's philosophy of mathematics. This area of his work has frequently been undervalued by Wittgenstein specialists and by philosophers of mathematics alike; but the surprising fact that he wrote more on this subject than on any other indicates its centrality in his thought. Marion traces the development of Wittgenstein's thinking in the context of the mathematical and philosophical work of the times, to make coherent sense of ideas that have too often been misunderstood because they have been presented in a disjointed and incomplete way. In particular, he illuminates the work of the neglected 'transitional period' between the Tractatus and the Investigations. Marion shows that study of Wittgenstein's writings on mathematics is essential to a proper understanding of his philosophy; and he also demonstrates that it has much to contribute to current debates about the foundations of mathematics.
Author: Mathieu Marion
Publisher: Oxford University Press
ISBN: 9780198235163
Category : Mathematics
Languages : en
Pages : 290
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Book Description
Mathieu Marion offers a careful, historically informed study of Wittgenstein's philosophy of mathematics. This area of his work has frequently been undervalued by Wittgenstein specialists and by philosophers of mathematics alike; but the surprising fact that he wrote more on this subject thanon any other indicates its centrality in his thought. Marion traces the development of Wittgenstein's thinking in the context of the mathematical and philosophical work of the times, to make coherent sense of ideas that have too often been misunderstood because they have been presented in adisjointed and incomplete way. In particular, he illuminates the work of the neglected 'transitional period' between the Tractatus and the Investigations. Marion shows that study of Wittgenstein's writings on mathematics is essential to a proper understanding of his philosophy; and he alsodemonstrates that it has much to contribute to current debates about the foundations of mathematics.
Author: Ludwig Wittgenstein
Publisher:
ISBN: 9780262730174
Category : Mathematics
Languages : de
Pages : 204
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Book Description
Author: Pasquale Frascolla
Publisher: Routledge
ISBN: 1134974361
Category : Philosophy
Languages : en
Pages : 318
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Book Description
Wittgenstein's role was vital in establishing mathematics as one of this century's principal areas of philosophic inquiry. In this book, the three phases of Wittgenstein's reflections on mathematics are viewed as a progressive whole, rather than as separate entities. Frascolla builds up a systematic construction of Wittgenstein's representation of the role of arithmetic in the theory of logical operations. He also presents a new interpretation of Wittgenstein's rule-following considerations - the `community view of internal relations'.
Author: Pasquale Frascolla
Publisher: Routledge
ISBN: 113497437X
Category : Philosophy
Languages : en
Pages : 200
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Book Description
Wittgenstein's role was vital in establishing mathematics as one of this century's principal areas of philosophic inquiry. In this book, the three phases of Wittgenstein's reflections on mathematics are viewed as a progressive whole, rather than as separate entities. Frascolla builds up a systematic construction of Wittgenstein's representation of the role of arithmetic in the theory of logical operations. He also presents a new interpretation of Wittgenstein's rule-following considerations - the `community view of internal relations'.
Author: Juliet Floyd
Publisher: Cambridge University Press
ISBN: 1108616534
Category : Science
Languages : en
Pages : 96
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Book Description
For Wittgenstein mathematics is a human activity characterizing ways of seeing conceptual possibilities and empirical situations, proof and logical methods central to its progress. Sentences exhibit differing 'aspects', or dimensions of meaning, projecting mathematical 'realities'. Mathematics is an activity of constructing standpoints on equalities and differences of these. Wittgenstein's Later Philosophy of Mathematics (1934–1951) grew from his Early (1912–1921) and Middle (1929–33) philosophies, a dialectical path reconstructed here partly as a response to the limitative results of Gödel and Turing.
Author: Juliet Floyd
Publisher: Springer Nature
ISBN: 3030484815
Category : Mathematics
Languages : en
Pages : 330
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Book Description
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.
Author: Stewart Shapiro
Publisher: OUP USA
ISBN: 0195148770
Category : Mathematics
Languages : en
Pages : 850
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Book Description
Covers the state of the art in the philosophy of maths and logic, giving the reader an overview of the major problems, positions, and battle lines. The chapters in this book contain both exposition and criticism as well as substantial development of their own positions. It also includes a bibliography.
Author: Matthew B. Ostrow
Publisher: Cambridge University Press
ISBN: 9780521006491
Category : Mathematics
Languages : en
Pages : 196
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Book Description
This book is a strikingly innovative study of the Tractatus.
Author: Mauro Luiz Engelmann
Publisher: Cambridge University Press
ISBN: 110888721X
Category : Philosophy
Languages : en
Pages : 145
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Book Description
This Element presents a concise and accessible view of the central arguments of Wittgenstein's Tractatus Logico-Philosophicus. Starting from the difficulties found in historical and current debates, drawing on the background of Russell's philosophy, and grounded in the ladder structure expressed in the numbering system of the book, this Element presents the central arguments of the Tractatus in three lines of thought. The first concerns the role of the so-called 'ontology' and its relationship to the method of the Tractatus and its logical symbolism, which displays the formal essence of language and world. The second deals with the symbolic unity of language and its role in the 'ladder structure' and explains how and why the book is not self-defeating. The third elucidates Wittgenstein's claim to have solved in essentials all philosophical problems, whose very formulation, he says, rests on misunderstandings.
