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Books > Humanities > Philosophy > Topics in philosophy > Logic
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Advances in Proof Theory (Hardcover, 1st ed. 2016)
Loot Price: R3,774
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Advances in Proof Theory (Hardcover, 1st ed. 2016)
Series: Progress in Computer Science and Applied Logic, 28
Expected to ship within 12 - 19 working days
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The aim of this volume is to collect original contributions by the
best specialists from the area of proof theory, constructivity, and
computation and discuss recent trends and results in these areas.
Some emphasis will be put on ordinal analysis, reductive proof
theory, explicit mathematics and type-theoretic formalisms, and
abstract computations. The volume is dedicated to the 60th birthday
of Professor Gerhard Jager, who has been instrumental in shaping
and promoting logic in Switzerland for the last 25 years. It
comprises contributions from the symposium "Advances in Proof
Theory", which was held in Bern in December 2013. Proof theory came
into being in the twenties of the last century, when it was
inaugurated by David Hilbert in order to secure the foundations of
mathematics. It was substantially influenced by Goedel's famous
incompleteness theorems of 1930 and Gentzen's new consistency proof
for the axiom system of first order number theory in 1936. Today,
proof theory is a well-established branch of mathematical and
philosophical logic and one of the pillars of the foundations of
mathematics. Proof theory explores constructive and computational
aspects of mathematical reasoning; it is particularly suitable for
dealing with various questions in computer science.
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