The Evolution of Logic examines the relations between logic and
philosophy over the last 150 years. Logic underwent a major
renaissance beginning in the nineteenth century. Cantor almost
tamed the infinite, and Frege aimed to undercut Kant by reducing
mathematics to logic. These achievements were threatened by the
paradoxes, like Russell s. This ferment generated excellent
philosophy (and mathematics) by excellent philosophers (and
mathematicians) up to World War II. This book provides a selective,
critical history of the collaboration between logic and philosophy
during this period. After World War II, mathematical logic became a
recognized subdiscipline in mathematics departments, and
consequently but unfortunately philosophers have lost touch with
its monuments. This book aims to make four of them (consistency and
independence of the continuum hypothesis, Post s problem, and
Morley s theorem) more accessible to philosophers, making available
the tools necessary for modern scholars of philosophy to renew a
productive dialogue between logic and philosophy."
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