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Langlois, Charles Victor

 
9781330871430: The Principles of Mathematics (Classic Reprint)

Sinopsis

Exploring the foundations of math and logic, The Principles of Mathematics unlocks how thinking structures numbers, space, and proof.

This edition presents Russell’s philosophy of mathematics for readers who want both clarity and depth, balancing technical ideas with accessible explanations. The text sets out how pure mathematics uses hypothetical objects and logical constants, not necessarily real-world things. It explains the relationship between mathematics and philosophy, and how symbols, definitions, and proofs build a coherent view of numbers, space, and motion. The book also discusses the work of key thinkers and the author’s own aims, acknowledging the challenges of a wide, difficult topic.

  • How mathematical reasoning relies on general properties and logical constants
  • How definitions create existence theorems and resolve logical questions
  • Ways in which mathematics relates to philosophy and empirical inquiry
  • Guidance on reading strategy and the edition’s structure for mathematicians and philosophers
Ideal for readers of philosophy of mathematics and for those curious about how formal reasoning underpins scientific thought.

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Reseña del editor

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.

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com

This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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