Synopsis
Uncover how logic grounds mathematics and why precise symbols matter.
This concise, accessible exploration shows why ordinary language falls short for exact thinking and how symbols aid clear reasoning. It surveys key ideas about limits, continuity, and the foundations of mathematics, guiding readers through the distinction between intuitive notions and formal definitions.
- How continuity and limits are defined and why they matter in functions and series
- Different notions of continuity, including Cantorian and Dedekindian ideas
- Why infinitesimals were challenged and how modern analysis is built without them
Ideal for readers curious about the philosophical foundations of math, logic, and how rigorous thinking shapes mathematical practice.
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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.
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Introduction to Mathematical Philosophy (Classic Reprint)
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Paperback. Condition: 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. Seller Inventory # 9781330323038_0
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Introduction to Mathematical Philosophy (Classic Reprint)
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330323038
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Introduction to Mathematical Philosophy (Classic Reprint)
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Introduction to Mathematical Philosophy (Classic Reprint)
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Paperback. Condition: Brand New. 218 pages. 8.43x5.85x0.73 inches. This item is printed on demand. Seller Inventory # zk1330323033
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INTRO TO MATHEMATICAL PHILOSOP
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Condition: New. KlappentextrnrnGroundbreaking 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 wa. Seller Inventory # 2147750338
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