Groundbreaking 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 way which, while not simplistic, is still accessible to anyone willing to put in some thought. A foundation in logic and philosophy would certainly be a help when reading this book however.
This approach was later demonstrated to be impossible, with Kurt Godel's incompleteness theorems proving that for any consistent logical system there are some problems which cannot be solved within that system. Godel's work would not have been the same without these earlier attempts however, so they provide an essential context for understanding these later developments.
This does not mean that Russell's work is devoid of insight or use for its own sake however, as most of the individual sections as well as the history of mathematical philosophy are very valuable. Those whose interest is piqued by this book may wish to move on to Russell and Whitehead's Principia Mathematica for a more difficult and in depth work.
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Paperback. Zustand: 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. Bestandsnummer des Verkäufers 9781330323038_0
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