Inhaltsangabe
Explore the foundations of mathematics and logic in this concise, landmark study. The Principles of Mathematics, Vol. 1 offers a clear introduction to Bertrand Russell’s rigorous approach to logic, numbers, space, motion, and the nature of mathematical reasoning. It frames how pure mathematics uses abstract concepts to model ideas independent of physical objects.
The book is written for both philosophers and mathematicians, and it sketches the connections between symbolic logic and mathematical theory. It discusses how definitions, predicates, and logical constants underlie much of mathematics, and it surveys topics such as real numbers, complete and incomplete series, and the correlation of infinite classes. The author also outlines the role of dynamics, geometry, and the philosophy of space, with emphasis on careful analysis rather than empirical details.
What you’ll experience
- An overview of the logical foundations that support arithmetic, geometry, and analysis
- Concepts like complete vs. incomplete series and how functions relate infinite classes
- A discussion of real numbers as a way to understand number through rational classes
- The relationship between philosophy and mathematics, and guidance for readers new to symbolic logic
Ideal for readers of philosophy and mathematics who want a rigorous, practitioner-friendly view of foundational ideas and their implications.
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The Principles of Mathematics, Vol. 1 (Classic Reprint)
Print-on-DemandAnbieter: Forgotten Books, London, Vereinigtes Königreich
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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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The Principles of Mathematics, Vol. 1 (Classic Reprint)
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781330871430
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The Principles of Mathematics, Vol. 1 (Classic Reprint)
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781330871430
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The Principles of Mathematics (Classic Reprint)
Print-on-DemandAnbieter: Revaluation Books, Exeter, Vereinigtes Königreich
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Paperback. Zustand: Brand New. 574 pages. 8.98x5.91x1.34 inches. This item is printed on demand. Bestandsnummer des Verkäufers zk133087143X
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PRINCIPLES OF MATHEMATICS VOL
Anbieter: moluna, Greven, Deutschland
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Zustand: 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. Bestandsnummer des Verkäufers 2147804272
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