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Oxford Logic Guides

Consequence Relations

An Introduction to the Lindenbaum-Tarski Method

Citkin & Muravitsky

Consequence Relations

Oxford Logic Guides

Consequence Relations

An Introduction to the Lindenbaum-Tarski Method

Oxford Logic Guides: Consequence Relations

 

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.


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Beschrijving Oxford Logic Guides: Consequence Relations

The publication of Rasiowa and Sikorski's The Mathematics of Metamathematics (1970), Rasiowa's An Algebraic Approach to Non-Classical Logics (1974), and Wójcicki'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.


ISBN
9780192866417
Pagina's
352
Verschijnt
Serie
Oxford Logic Guides
NUR
910
Druk
1
Uitvoering
Hardback
Taal
Engels
Uitgever
OUP Oxford

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