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The Adventure of Reason - Interplay Between Philosophy of Mathematics and Mathematical Logic, 1900-1940 (Paperback)
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The Adventure of Reason - Interplay Between Philosophy of Mathematics and Mathematical Logic, 1900-1940 (Paperback)
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Paolo Mancosu presents a series of innovative studies in the
history and the philosophy of logic and mathematics in the first
half of the twentieth century. The Adventure of Reason is divided
into five main sections: history of logic (from Russell to Tarski);
foundational issues (Hilbert's program, constructivity,
Wittgenstein, Goedel); mathematics and phenomenology (Weyl, Becker,
Mahnke); nominalism (Quine, Tarski); semantics (Tarski, Carnap,
Neurath). Mancosu exploits extensive untapped archival sources to
make available a wealth of new material that deepens in significant
ways our understanding of these fascinating areas of modern
intellectual history. At the same time, the book is a contribution
to recent philosophical debates, in particular on the prospects for
a successful nominalist reconstruction of mathematics, the nature
of finitist intuition, the viability of alternative definitions of
logical consequence, and the extent to which phenomenology can hope
to account for the exact sciences.
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