Consequence Relations - An Introduction to the Lindenbaum-Tarski Method (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 Muravitsky consider 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 under consideration, 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 graduate students 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.

General

Imprint:	Oxford UniversityPress
Country of origin:	United Kingdom
Series:	Oxford Logic Guides
Release date:	July 2022
Authors:	Alex Citkin (CIO) • Alexei Muravitsky (Professor of Mathematics)
Dimensions:	240 x 160 x 22mm (L x W x T)
Format:	Hardcover
Pages:	352
ISBN-13:	978-0-19-286641-7
Categories:	Books > Science & Mathematics > Mathematics > Philosophy of mathematics Books > Science & Mathematics > Mathematics > Mathematical foundations > Mathematical logic Books > Science & Mathematics > Mathematics > Mathematical foundations > Set theory Books > Science & Mathematics > Mathematics > Algebra > General Promotions
LSN:	0-19-286641-9
Barcode:	9780192866417

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!