The Principles of Mathematics: Vol. 1 is a terrific introduction to the fundamental concepts of mathematics. Although the book's title involves mathematics, it is not a textbook packed with equations and theorems. Instead philosopher Bertrand Russell uses mathematics to explore the structure of logic. Russell's ultimate point is that mathematics is logic and logic itself is truth.
The book is substantial and covers all subjects of mathematics. It is divided into seven sections: indefinables in mathematics, number, quantity, order, infinity and continuity, space, matter and motion. Russell covers all the major developments of mathematics and the contributions of important figures to the field. His sharp mind is evident throughout The Principles of Mathematics, as he challenges established rules and teachers readers how to think through difficult problems using logic.
Russell was one of the great minds of the 20th Century. In this book he discusses how his ideas were influenced by the logician Peano. He also debates other philosophers and mathematicians, and even anticipates the Theory of Relativity, which had not yet been published by Einstein.
One does not need to love mathematics to gain insights from The Principles of Mathematics: Vol. 1. Those who are interested in logic, intellectualism, philosophy or history will find significant insights into logical principles. Readers who desire an intellectual challenge will truly enjoy The Principles of Mathematics: Vol. 1.
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Paperback. Zustand: New. Print on Demand. This book embarks on a rigorous exploration of the foundations of mathematics, revealing its surprising connection to the realm of logic. The author meticulously analyzes the fundamental concepts employed in mathematical reasoning, demonstrating how they can be constructed from a small set of basic logical notions. Delving into historical debates surrounding the meaning and truth of mathematics, the author offers a compelling resolution. By leveraging the power of symbolic logic, the book presents a groundbreaking thesis: all of mathematics, from arithmetic to geometry and beyond, can be formally derived from a handful of logical principles. This revolutionary perspective sheds new light on longstanding philosophical questions about the nature of infinity, space, and even the very essence of mathematical proof. The author invites both mathematicians and philosophers to engage in this intellectual journey, offering a clear and accessible path through complex concepts. Ultimately, this book challenges us to re-examine our understanding of mathematics, revealing its profound connection to the very fabric of human thought. 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 9781330871430_0
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