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Joachim Lambek: The Interplay of Mathematics, Logic, and Linguistics (Paperback, 1st ed. 2021): Claudia Casadio, Philip J Scott Joachim Lambek: The Interplay of Mathematics, Logic, and Linguistics (Paperback, 1st ed. 2021)
Claudia Casadio, Philip J Scott
R3,774 Discovery Miles 37 740 Ships in 10 - 15 working days

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.

Joachim Lambek: The Interplay of Mathematics, Logic, and Linguistics (Hardcover, 1st ed. 2021): Claudia Casadio, Philip J Scott Joachim Lambek: The Interplay of Mathematics, Logic, and Linguistics (Hardcover, 1st ed. 2021)
Claudia Casadio, Philip J Scott
R3,806 Discovery Miles 38 060 Ships in 10 - 15 working days

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.

Model-Based Reasoning in Science and Technology - Logical, Epistemological, and Cognitive Issues (Paperback, Softcover reprint... Model-Based Reasoning in Science and Technology - Logical, Epistemological, and Cognitive Issues (Paperback, Softcover reprint of the original 1st ed. 2016)
Lorenzo Magnani, Claudia Casadio
R8,665 Discovery Miles 86 650 Ships in 10 - 15 working days

This book discusses how scientific and other types of cognition make use of models, abduction, and explanatory reasoning in order to produce important or creative changes in theories and concepts. It includes revised contributions presented during the international conference on Model-Based Reasoning (MBR'015), held on June 25-27 in Sestri Levante, Italy. The book is divided into three main parts, the first of which focuses on models, reasoning and representation. It highlights key theoretical concepts from an applied perspective, addressing issues concerning information visualization, experimental methods and design. The second part goes a step further, examining abduction, problem solving and reasoning. The respective contributions analyze different types of reasoning, discussing various concepts of inference and creativity and their relationship with experimental data. In turn, the third part reports on a number of historical, epistemological and technological issues. By analyzing possible contradictions in modern research and describing representative case studies in experimental research, this part aims at fostering new discussions and stimulating new ideas. All in all, the book provides researchers and graduate students in the field of applied philosophy, epistemology, cognitive science and artificial intelligence alike with an authoritative snapshot of current theories and applications of model-based reasoning.

Model-Based Reasoning in Science and Technology - Logical, Epistemological, and Cognitive Issues (Hardcover, 1st ed. 2016):... Model-Based Reasoning in Science and Technology - Logical, Epistemological, and Cognitive Issues (Hardcover, 1st ed. 2016)
Lorenzo Magnani, Claudia Casadio
R8,783 Discovery Miles 87 830 Ships in 10 - 15 working days

This book discusses how scientific and other types of cognition make use of models, abduction, and explanatory reasoning in order to produce important or creative changes in theories and concepts. It includes revised contributions presented during the international conference on Model-Based Reasoning (MBR'015), held on June 25-27 in Sestri Levante, Italy. The book is divided into three main parts, the first of which focuses on models, reasoning and representation. It highlights key theoretical concepts from an applied perspective, addressing issues concerning information visualization, experimental methods and design. The second part goes a step further, examining abduction, problem solving and reasoning. The respective contributions analyze different types of reasoning, discussing various concepts of inference and creativity and their relationship with experimental data. In turn, the third part reports on a number of historical, epistemological and technological issues. By analyzing possible contradictions in modern research and describing representative case studies in experimental research, this part aims at fostering new discussions and stimulating new ideas. All in all, the book provides researchers and graduate students in the field of applied philosophy, epistemology, cognitive science and artificial intelligence alike with an authoritative snapshot of current theories and applications of model-based reasoning.

Categories and Types in Logic, Language, and Physics - Essays dedicated to Jim Lambek on the Occasion of this 90th Birthday... Categories and Types in Logic, Language, and Physics - Essays dedicated to Jim Lambek on the Occasion of this 90th Birthday (Paperback, 2014 ed.)
Claudia Casadio, Bob Coecke, Michael Moortgat, Philip Scott
R2,851 Discovery Miles 28 510 Ships in 10 - 15 working days

For more than 60 years, Jim Lambek has been a profoundly inspirational mathematician, with groundbreaking contributions to algebra, category theory, linguistics, theoretical physics, logic and proof theory. This Festschrift was put together on the occasion of his 90th birthday. The papers in it give a good picture of the multiple research areas where the impact of Jim Lambek's work can be felt. The volume includes contributions by prominent researchers and by their students, showing how Jim Lambek's ideas keep inspiring upcoming generations of scholars.

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