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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