Foundational Studies
Foundational Studies

Author: Andrzej Mostowski

Publisher: Elsevier

Published: 1979

Total Pages: 615

ISBN-13: 0444851038

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Provability, Computability and Reflection.

Andrzej Mostowski and Foundational Studies
Andrzej Mostowski and Foundational Studies

Author: Andrzej Mostowski

Publisher: IOS Press

Published: 2008

Total Pages: 460

ISBN-13: 158603782X

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Andrzej Mostowski was one of the leading 20th century logicians. This volume examines his legacy, devoted both to his scientific heritage and to the memory of him as a great researcher, teacher, organizer of science and person. It includes the bibliography of Mostowski's writings.

Recursive Functions and Metamathematics
Recursive Functions and Metamathematics

Author: Roman Murawski

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 416

ISBN-13: 9401728666

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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.