Wittgenstein, Finitism, and the Foundations of Mathematics

Author:   Mathieu Marion (University of Quebec)
Publisher:   Oxford University Press
ISBN:  

9780199550470


Pages:   282
Publication Date:   07 August 2008
Format:   Paperback
Availability:   To order   Availability explained
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Wittgenstein, Finitism, and the Foundations of Mathematics


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Overview

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.

Full Product Details

Author:   Mathieu Marion (University of Quebec)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Dimensions:   Width: 13.80cm , Height: 1.70cm , Length: 21.50cm
Weight:   0.360kg
ISBN:  

9780199550470


ISBN 10:   0199550476
Pages:   282
Publication Date:   07 August 2008
Audience:   College/higher education ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

1: Wittgenstein's Anti-Platonism 2: Logicism without Classes 3: Arbitrary Functions 4: Quantification and Finitism 5: From Truth-Functional Logic to a Logic of Equations 6: Philosophy and Logical Foundations 7: The Continuum 8: Strict Finitism Bibliography Index

Reviews

Marion's book is an important contribution to the small but growing body of literature on Wittgenstein's philosophy of mathematics. Its value lies especially in the advance it makes over previous work in situating Wittgenstein's philosophy of mathematics not only in its philosophical, but also its mathematical context...a welcome addition to the literature. --Mark A.Joseph A fine historical study.... Marion tells an interesting and convincing story. He carefully identifies both the continuities and the discontinuities in the evolution of Wittgenstein's ideas, and makes good sense of each.... Marion's book is certainly to be recommended both for its exegesis and, through its compelling presentation of these ideas, for its contribution to the philosophy of mathematics. --A W Moore, Studia Logica


Review from previous edition Marion's book is an important contribution to the small but growing body of literature on Wittgenstein's philosophy of mathematics. Its value lies especially in the advance it makes over previous work in situating Wittgenstein's philosophy of mathematics not only in its philosophical, but also its mathematical context ... a welcome addition to the literature. Mark A.Joseph A fine historical study ... Marion tells an interesting and convinving story. He carefully identifies both the continuities and the discontinuities in the evolution of Wittgenstein's ideas, and makes good sense of each ... Marion's book is certainly to be recommended both for its exegesis and, through its compelling presentation of these ideas, for its contribution to the philosophy of mathematics. A W Moore, Studia Logica


Marion's book is an important contribution to the small but growing body of literature on Wittgenstein's philosophy of mathematics. Its value lies especially in the advance it makes over previous work in situating Wittgenstein's philosophy of mathematics not only in its philosophical, but also its mathematical context...a welcome addition to the literature. --Mark A.Joseph<br> A fine historical study.... Marion tells an interesting and convincing story. He carefully identifies both the continuities and the discontinuities in the evolution of Wittgenstein's ideas, and makes good sense of each.... Marion's book is certainly to be recommended both for its exegesis and, through its compelling presentation of these ideas, for its contribution to the philosophy of mathematics. --A W Moore, Studia Logica<br>


<br> Marion's book is an important contribution to the small but growing body of literature on Wittgenstein's philosophy of mathematics. Its value lies especially in the advance it makes over previous work in situating Wittgenstein's philosophy of mathematics not only in its philosophical, but also its mathematical context...a welcome addition to the literature. --Mark A.Joseph<br> A fine historical study.... Marion tells an interesting and convincing story. He carefully identifies both the continuities and the discontinuities in the evolution of Wittgenstein's ideas, and makes good sense of each.... Marion's book is certainly to be recommended both for its exegesis and, through its compelling presentation of these ideas, for its contribution to the philosophy of mathematics. --A W Moore, Studia Logica<br>


Author Information

Mathieu Marion holds the Canada Research Chair in Philosophy of Logic and Mathematics at the University of Quebec, Montreal.

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