Russell's Paradox
How a Simple Question Shattered Mathematical Certainty and Reshaped Logic Forever
Most people assume mathematics is a perfectly logical system built on unshakeable foundations. But in 1901, Bertrand Russell discovered something that shattered this illusion: a simple question that broke mathematics itself. Russell's Paradox asks: "Does the set of all sets that don't contain themselves contain itself?" The answer creates an impossible contradiction—yes and no simultaneously. This book explores how one elegant logical puzzle exposed deep flaws in mathematical thinking and forced mathematicians to rebuild their entire discipline. You'll discover how Russell's question emerged from earlier work, why it created a genuine crisis in mathematics, and how brilliant minds developed new frameworks to resolve it. Along the way, you'll encounter related paradoxes, explore the concept of self-reference, and understand why this 120-year-old problem remains relevant to modern computer science and artificial intelligence. Whether you're fascinated by logic, curious about mathematical foundations, or interested in how systems can contain their own contradictions, this book reveals why Russell's Paradox matters far beyond academia.
Est. Length
222 pages (10 chapters)
Language
English
Publication date
Nov 13, 2025
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