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Wittgenstein, Finitism, and the Foundations of Mathematics (Oxford Philosophical Monographs), by Mathieu Marion
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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.
- Sales Rank: #2856893 in Books
- Published on: 2008-10-15
- Original language: English
- Number of items: 1
- Dimensions: 5.40" h x .60" w x 8.40" l, .71 pounds
- Binding: Paperback
- 280 pages
Review
"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
About the Author
Mathieu Marion holds the Canada Research Chair in Philosophy of Logic and Mathematics at the University of Quebec, Montreal.
Most helpful customer reviews
4 of 4 people found the following review helpful.
An unprecedented introduction to Wittgenstein's philosophy of mathematics
By Giuseppe Tulli
This is an excellent, much needed introduction to Wittgenstein's philosophy of mathematics. It is of great worth that it is presented thematically, that is, by an analysis of the major themes of the crisis of fundamentals of mathematics at the beginning of the XX century. On the other hand Wittgenstein's place in such crisis is usually neglected, so this book "completes", in a certain way, the different aspects of the crisis because Wittgenstein cannot be properly sided with "intuitionism" (Brouwer et alt.); on the other hand Wittgenstein's "constructivism" is definitely closer to it, and this book helps in clarifying its coincidences and differences.
But Wittgenstein's philosophy of mathematics is key to unravel his philosophy in general; actually, in my opinion, there's no way to properly understand his thought without dealing with his philosophy of mathematics; for it originally developed, precisely, from his peculiar version of "logicism", as expressed in the Tractatus Logico-Philosophicus, where the human conception of reality as a whole, through language, is grounded on logic. Then, his later philosophy whereby language resolves "constructively" as a game, is also inspired by his philosophy of mathematics. It is indeed a historical "calamity" that Wittgenstein could not complete his last major work, his Philosophical Investigations, as it was originally intended, namely, with his later philosophy of mathematics.
Anyway, and again, I don't think that his general philosophy can be understood without studying his philosophy of mathematics, and I can't think of a better introduction to it as this one by Prof. Mathieu Marion.
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