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portada Mathematical Proof Theory
Type
Physical Book
Author
Publisher
Language
English
Pages
296
Format
Paperback
Dimensions
27.9 x 21.6 x 1.6 cm
Weight
0.69 kg.
ISBN13
9781519102447
Categories

Mathematical Proof Theory

Paul F. Kisak (Author) · Createspace · Paperback

Mathematical Proof Theory - Kisak, Paul F.

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Delivery: 25 Aug - 27 Aug Shipping: 4 to 5 business days.
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Synopsis "Mathematical Proof Theory"

#45 on 69 Best Mathematical Proofs Books of All Time. Proof theory is a branch of mathematical logic that represents proofs as formal mathematical objects, facilitating their analysis by mathematical techniques. Proofs are typically presented as inductively-defined data structures such as plain lists, boxed lists, or trees, which are constructed according to the axioms and rules of inference of the logical system. As such, proof theory is syntactic in nature, in contrast to model theory, which is semantic in nature. Together with model theory, axiomatic set theory, and recursion theory, proof theory is one of the so-called four pillars of the foundations of mathematics.Some of the major areas of proof theory include structural proof theory, ordinal analysis, provability logic, reverse mathematics, proof mining, automated theorem proving, and proof complexity. Much research also focuses on applications in computer science, linguistics, and philosophy.This book is designed to be a general overview of the topic and provide you with the structured knowledge to familiarize yourself with the topic at the most affordable price possible. The level of discussion is that of Wikipedia. The accuracy and knowledge is of an international viewpoint as the edited articles represent the inputs of many knowledgeable individuals and some of the most currently available general knowledge on the topic based on the date of publication.

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