Explore the foundational debate in probability theory with “Statistical and Inductive Probabilities” by Hugues Leblanc, a key title in Dover Books on Mathematics. This insightful book offers an evenhanded treatment of the long-standing controversy between Keynes’ inductive probabilities, focusing on evidential support, and von Mises’ statistical probabilities, based on relative frequency. Leblanc presents a unified approach, reinterpreting both as sentence-theoretic measurements. The book begins with essential sentence and set theory, details statistical probabilities and their extension to sentences as truth-values, and concludes by demonstrating inductive probabilities as estimates of these truth-values. Ideal for mathematicians and students of probability, this work provides clear explanations, summaries, and helpful illustrations for a deeper understanding of these crucial concepts.