Synopsis
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
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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.
The late Max Black was Susan Linn Sage Professor of Philosophy and Human Letters at Cornell University and President of the International Institute of Philosophy. His other books include Language and Philosophy and the Labyrinth of Language.
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The Principles of Mathematics, Vol. 1 (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: 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. Seller Inventory # 9781330871430_0
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The Principles of Mathematics, Vol. 1 (Classic Reprint)
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330871430
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The Principles of Mathematics, Vol. 1 (Classic Reprint)
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330871430
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PRINCIPLES OF MATHEMATICS VOL
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Condition: New. KlappentextThe 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 ph. Seller Inventory # 2147804272
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