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Consequence Relations: An Introduction to the Lindenbaum-Tarski Method (Oxford Logic Guides) - Hardcover

 
9780192866417: Consequence Relations: An Introduction to the Lindenbaum-Tarski Method (Oxford Logic Guides)
  • PublisherOxford University Press
  • Publication date2022
  • ISBN 10 0192866419
  • ISBN 13 9780192866417
  • BindingHardcover
  • LanguageEnglish
  • Number of pages352

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Citkin, Alex; Muravitsky, Alexei
Published by Oxford University Press, 2022
ISBN 10: 0192866419 ISBN 13: 9780192866417
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Citkin, Alex; Muravitsky, Alexei
Published by Oxford University Press, 2022
ISBN 10: 0192866419 ISBN 13: 9780192866417
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Alex Citkin
Published by Oxford University Press, Oxford, 2022
ISBN 10: 0192866419 ISBN 13: 9780192866417
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Hardcover. Condition: new. Hardcover. The publication of Rasiowa and Sikorski's The Mathematics of Metamathematics (1970), Rasiowa's An Algebraic Approach to Non-Classical Logics (1974), and Wojcicki's Theory of Logical Calculi (1988) created a niche in the field of mathematical and philosophical logic. This in-depth study of the concept of a consequence relation, culminating in the concept of a Lindenbaum-Tarski algebra, fills this niche. Citkin and Muravitskyconsider the problem of obtaining confirmation that a statement is a consequence of a set of statements as prerequisites, on the one hand, and the problem of demonstrating that such confirmation does not exist in the structure underconsideration, on the other hand. For the second part of this problem, the concept of the Lindenbaum-Tarski algebra plays a key role, which becomes even more important when the considered consequence relation is placed in the context of decidability. This role is traced in the book for various formal objective languages. The work also includes helpful exercises to aid the reader's assimilation of the book's material. Intended for advanced undergraduate and graduatestudents in mathematics and philosophy, this book can be used to teach special courses in logic with an emphasis on algebraic methods, for self-study, and also as a reference work. An in-depth study of the concept of a consequence relation, culminating in the concept of a Lindenbaum-Tarski algebra, intended for advanced undergraduate and graduate students in mathematics and philosophy, as well as researchers in the field of mathematical and philosophical logic. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780192866417

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ISBN 10: 0192866419 ISBN 13: 9780192866417
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