Labyrinth of Thought
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First Sentence
"It is a common characteristic of the various attempts to integrate the totality of mathematics into a coherent whole - whether we think of Plato, of Descartes, or of Leibniz, of arithmetization, or of the logicists of the nineteenth-century - that they have all been made in connection with a philosophical system, more or less wide in scope; always starting from a priori views concerning the relations of mathematics with the twofold universe of the external world and the world of thought.1"
440 pages
~7h 20min to read
Description
Labyrinth of Through discusses set theory's emergence and development, and the set-theoretical approach to mathematics during 1850-1840. Rather than focusing on Georg Cantor, it analyzes his work and transfinite set theory's emergence within the broader context of modern mathematics' rise. Questions addressed include: Why and how did mathematicians begin paying close attention to the notion of a set? What role did the notion of set play in the emergence of modern mathematics? How did set theory turn into an autonomous branch of mathematics, and how did our present conception of the theory become widely accepted? (from back cover copy)
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