Get ready to delve into the intriguing world of set theory and its impact on modern mathematics with José Ferreirós’ captivating book, Labyrinth of Thought. In its second revised edition, this English translation of Ferreirós’ original work is a must-read for historians and mathematicians alike.
From the paradoxes and antinomies to the resolutions and “fixes” that shaped set theory, Labyrinth of Thought covers it all. Ferreirós expertly guides readers through the lives and contributions of influential figures like Frege, Russell, Cantor, and Hilbert, offering a fresh historical perspective that challenges conventional beliefs about the origins of set theory.
Labyrinth of Thought is divided into three parts, each exploring different aspects of the evolution of set theory. Part One examines how crypto-set theory influenced algebra, arithmetic, and geometry, long before Cantor entered the scene. Part Two focuses on Cantor’s work on “infinity and the continuum,” with Dedekind playing a significant role. Finally, Part Three provides a comprehensive overview of set theory’s further development, touching on the foundations crisis and the emergence of mathematical logic.
What sets Labyrinth of Thought apart is Ferreirós’ skill as a historian. He seamlessly weaves in biographical material, giving readers a glimpse into the lives and achievements of renowned mathematicians. Even if you’re familiar with the mathematics discussed, Ferreirós’ unique perspective will enrich your understanding.
Whether you’re a historian of set theory or a mathematics enthusiast, Labyrinth of Thought promises an unforgettable journey through the world of numbers and concepts. Don’t miss out on this captivating exploration of the origins and significance of set theory in the realm of modern mathematics.