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Joachim Lambek: The Interplay of Mathematics, Logic, and Linguistics (Paperback, 1st ed. 2021)
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Joachim Lambek: The Interplay of Mathematics, Logic, and Linguistics (Paperback, 1st ed. 2021)
Series: Outstanding Contributions to Logic, 20
Expected to ship within 10 - 15 working days
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This book is dedicated to the life and work of the mathematician
Joachim Lambek (1922-2014). The editors gather together noted
experts to discuss the state of the art of various of Lambek's
works in logic, category theory, and linguistics and to celebrate
his contributions to those areas over the course of his
multifaceted career. After early work in combinatorics and
elementary number theory, Lambek became a distinguished algebraist
(notably in ring theory). In the 1960s, he began to work in
category theory, categorical algebra, logic, proof theory, and
foundations of computability. In a parallel development, beginning
in the late 1950s and for the rest of his career, Lambek also
worked extensively in mathematical linguistics and computational
approaches to natural languages. He and his collaborators perfected
production and type grammars for numerous natural languages. Lambek
grammars form an early noncommutative precursor to Girard's linear
logic. In a surprising development (2000), he introduced a novel
and deeper algebraic framework (which he called pregroup grammars)
for analyzing natural language, along with algebraic, higher
category, and proof-theoretic semantics. This book is of interest
to mathematicians, logicians, linguists, and computer scientists.
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