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This work is a sequel to the author's 'GoÌdel's Incompleteness Theorems', though it can be read independently by anyone familiar with GoÌdel's incompleteness theorem for Peano arithmetic. The text deals mainly with those aspects of recursion theory that have applications to the metamathematics of incompleteness, undecidability, and related topics. It is both an introduction to the theory and a presentation of new results in the field.
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The aim of this book is to explain human rationality. The fundamental principles of human thought are stated in terms of Balzer's Principles, and their operations in everyday life are illustrated. The natural numbers are defined and explained in a fresh fashion. Paradoxes, including those of class theory and material implication, which have signaled that all is not well in our logical systems, are laid to rest here. The explanation of human rationality has more than logical interest, for it touches upon the human values embedded in our rationality. The book carries the message that all human beings are fundamentally equal.
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LICS '93 was held in Montreal, Canada, June 1993, to discuss abstract data types, automated deduction, concurrency, constructive math, database theory, knowledge representation, logical aspects of computational complexity, software specification, and type systems, among other related topics. No index. Annotation copyright by Book News, Inc., Portland, OR.
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LICS '93 was held in Montreal, Canada, June 1993, to discuss abstract data types, automated deduction, concurrency, constructive math, database theory, knowledge representation, logical aspects of computational complexity, software specification, and type systems, among other related topics. No index. Annotation copyright by Book News, Inc., Portland, OR.
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Turing machines --- Logic, symbolic and mathematical --- Computer Science --- Computer science. --- Logic, Symbolic and mathematical. --- Turing machines.
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Substructural logics comprise a family of nonclassical logics that arose in response to problems in theoretical computer science, mathematical linguistics, and category theory. They include intuitionist logic, relevant logic, BCK logic, linear logic, and Lambeck's calculus of synthetic categories. This book brings together new papers by some of the most eminent authorities in these various traditions in order to provide a unified view of the field. This important volume--the first to bring together the disparate strands of work in substructural logics--will be welcomed by student and professional logicians, theoretical computer scientists, theoretical linguists, philosophers, and mathematicians working in category theory and universal algebra.
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