Wittgenstein, Finitism, and the Foundations of Mathematics (Oxford Philosophical Monographs) 1st Edition by Mathieu Marion (PDF)

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This pioneering book demonstrates the crucial importance of Wittgenstein’s philosophy of mathematics to his philosophy as a whole. 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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐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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