Synopsis
Excerpt from Introduction to Mathematical Philosophy
Those who, relying on the distinction between Mathematical Philosophy and the Philosophy of Mathematics, think that this book is out of place in the present Library, may be referred to what the author himself says on this head in the Preface. It is not necessary to agree with what he there suggests as to the readjustment of the field of philosophy by the transference from it to mathematics of such problems as those of class, continuity, infinity, in order to perceive the bearing of the definitions and discussions that follow on the work of traditional philosophy. If philosophers cannot consent to relegate the criticism of these categories to any of the special sciences, it is essential, at any rate, that they should know the precise meaning that the science of mathematics, in which these concepts play so large a part, assigns to them. If, on the other hand, there be mathematicians to whom these definitions and discussions seem to be an elabora tion and complication of the simple, it may be well to remind them from the side of philosophy that here, as elsewhere, apparent simplicity may conceal a complexity which it is the business of somebody, whether philosopher or mathematician, or, like the author of this volume, both in one, to unravel.
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About the Author
Bertrand Russell (1872-1970) was born in England and educated at Trinity College, Cambridge. His long career established him as one of the most influential philosophers, mathematicians, and social reformers of the twentieth century.
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Introduction to Mathematical Philosophy (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This book delves into the foundations of mathematics, exploring the fundamental concepts that underpin this seemingly complex field. By carefully analyzing familiar notions like numbers and counting, the author reveals a surprising truth: the essence of mathematics can be found in the realm of logic. This journey into the heart of mathematics begins with the seemingly simple series of natural numbers. However, even these familiar building blocks hold hidden depths, and their true nature has often eluded even the most astute thinkers. Through a process of meticulous analysis, the author unveils the logical principles that govern these numbers, demonstrating how they can be defined and understood in terms of pure logic. This groundbreaking approach not only illuminates the inner workings of mathematics but also sheds light on its historical development. Concepts like infinity and continuity, once considered the domain of philosophy, are now shown to be firmly rooted in the logical framework of mathematics. Ultimately, this book offers a profound revelation: the intricate and powerful world of mathematics is built upon a foundation of logic, revealing a deep and unexpected connection between these two seemingly disparate disciplines. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781330323038_0
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Introduction to Mathematical Philosophy (Classic Reprint)
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Introduction to Mathematical Philosophy (Classic Reprint)
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Paperback. Condition: Brand New. 218 pages. 8.43x5.85x0.73 inches. In Stock. Seller Inventory # __1330323033
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INTRO TO MATHEMATICAL PHILOSOP
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Condition: New. KlappentextrnrnGroundbreaking in its day the aim of this fantastic, if dated book by renowned philosopher Bertrand Russell is nothing less than to demonstrate that all of mathematics is describable by a single system of logic. It does so in a wa. Seller Inventory # 2147750338