Recursive Functions and Metamathematics : Problems of Completeness and Decidability, Gödel’s Theorems / by Roman Murawski

Englisch

Dordrecht : Springer, 1999

Online-Ressource (XII, 395 p) : digital

Erscheint auch als (Druck-Ausgabe) : ISBN 9789048152988

Erscheint auch als (Druck-Ausgabe) : ISBN 9780792359043

Erscheint auch als (Druck-Ausgabe) : ISBN 9789401728676

978-94-017-2866-9

Weitere Ausgaben: 978-90-481-5298-8 (Druckausgabe)

DOI: 10.1007/978-94-017-2866-9

*Philosophy (General) ; Science -- Philosophy ; Information theory ; Logic, Symbolic and mathematical ; Logic ; Mathematical logic. ; Science—Philosophy. ; Computer science.

Klassifikation der Library of Congress: BC1-199

Dewey Dezimal-Klassifikation: 160;

Book Industry Communication: HPL

bisacsh: PHI011000

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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http://dx.doi.org/10.1007/978-94-017-2866-9 [Springer EBook]