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Advances in Mathematical Logic - Dedicated to the Memory of Professor Gaisi Takeuti, SAML 2018, Kobe, Japan, September 2018, Selected, Revised Contributions (Hardcover, 1st ed. 2021)
Loot Price: R3,994
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Advances in Mathematical Logic - Dedicated to the Memory of Professor Gaisi Takeuti, SAML 2018, Kobe, Japan, September 2018, Selected, Revised Contributions (Hardcover, 1st ed. 2021)
Series: Springer Proceedings in Mathematics & Statistics, 369
Expected to ship within 12 - 17 working days
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Gaisi Takeuti was one of the most brilliant, genius, and
influential logicians of the 20th century. He was a long-time
professor and professor emeritus of mathematics at the University
of Illinois at Urbana-Champaign, USA, before he passed away on May
10, 2017, at the age of 91. Takeuti was one of the founders of
Proof Theory, a branch of mathematical logic that originated from
Hilbert's program about the consistency of mathematics. Based on
Gentzen's pioneering works of proof theory in the 1930s, he
proposed a conjecture in 1953 concerning the essential nature of
formal proofs of higher-order logic now known as Takeuti's
fundamental conjecture and of which he gave a partial positive
solution. His arguments on the conjecture and proof theory in
general have had great influence on the later developments of
mathematical logic, philosophy of mathematics, and applications of
mathematical logic to theoretical computer science. Takeuti's work
ranged over the whole spectrum of mathematical logic, including set
theory, computability theory, Boolean valued analysis, fuzzy logic,
bounded arithmetic, and theoretical computer science. He wrote many
monographs and textbooks both in English and in Japanese, and his
monumental monograph Proof Theory, published in 1975, has long been
a standard reference of proof theory. He had a wide range of
interests covering virtually all areas of mathematics and extending
to physics. His publications include many Japanese books for
students and general readers about mathematical logic, mathematics
in general, and connections between mathematics and physics, as
well as many essays for Japanese science magazines. This volume is
a collection of papers based on the Symposium on Advances in
Mathematical Logic 2018. The symposium was held September 18-20,
2018, at Kobe University, Japan, and was dedicated to the memory of
Professor Gaisi Takeuti.
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