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Книга Recursive Functions and Metamathematics Roman Murawski

Recursive Functions and Metamathematics

Problems of Completeness and Decidability, Gödel's Theorems

Автор: Roman Murawski
Език: Английски език
Корици: С твърди корици
Издател: Springer
Наличност: Външен склад
Изпращаме след 10-13 дни
168.24 € 329.06 лв
Recursive Functions and Metamathematics deals with problems of the completeness and decidability of...

Информация за книгата

Автор
Roman Murawski
Език
Английски език
Корици
Книга - С твърди корици
Издадена
1999
страници
395
EAN
9780792359043
ISBN
0792359046
Enbook ID
05250675
Издател
Springer
Теглоt
1630
Размери
156 x 234 x 27

Пълно описание

Recursive Functions and Metamathematics deals with problems of the completeness and decidability of theories, using as its main tool the theory of recursive functions. This theory is first introduced and discussed. Then Gödel's incompleteness theorems are presented, together with generalizations, strengthenings, and the decidability theory. The book also considers the historical and philosophical context of these issues and their philosophical and methodological consequences. Recent results and trends have been included, such as undecidable sentences of mathematical content, reverse mathematics. All the main results are presented in detail. The book is self-contained and presupposes only some knowledge of elementary mathematical logic. There is an extensive bibliography. Readership: Scholars and advanced students of logic, mathematics, philosophy of science.

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