The Pea and the Sun A Mathematical Paradox [Wapner]

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The Pea and the Sun A Mathematical Paradox 
By Leonard M. Wapner

Summary

Leonard M. Wapner’s The Pea and the Sun: A Mathematical Paradox explores one of the strangest and most fascinating results in modern mathematics: the Banach–Tarski paradox. The book explains how, in the abstract world of mathematics, a small sphere such as a pea can theoretically be divided into a finite number of pieces and rearranged to form a much larger sphere, even one the size of the Sun. 

Wapner presents the history, ideas, and mathematical concepts behind this paradox in an accessible and entertaining way, introducing topics such as set theory, infinity, and the Axiom of Choice. The apparent contradiction is resolved by showing that the pieces used in the process are non-measurable sets, meaning they do not have a well-defined volume in the usual sense. 

The book combines mathematics, philosophy, and history to demonstrate how mathematical reasoning can challenge everyday intuition and reveal surprising properties of abstract objects. It is written for curious readers who want to understand how such an impossible-looking result can be logically true. 


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