The book "Algebraic Foundations of Many-Valued Reasoning" provides a comprehensive and independent exploration of the fundamental results of infinite-valued propositional logic by Lukasiewicz, as well as their algebras, the Chang MV-algebras. It is aimed at readers who are familiar with classical propositional logic and basic concepts of algebra and topology. The authors, R. L. Cignoli, Itala M. D'Ottaviano, and Daniele Mundici, place special emphasis on conveying the theoretical foundations and practical applications of infinite-valued logic. The book includes numerous proofs and also addresses advanced topics in a separate chapter. It not only discusses the theory but also highlights the application of infinite-valued logic in practical contexts, such as the game "Twenty Questions," to illustrate the concepts clearly.