Könyv Recursive Functions and Metamathematics Roman Murawski

Recursive Functions and Metamathematics

Problems of Completeness and Decidability, Goedel's Theorems

Szerző: Roman Murawski
Nyelv: Angol
Kötés: Puha kötésű
Kiadó: Springer
Elérhetőség: Beszállítói készleten
Küldés 5-8 napon belül
61 107 Ft
Recursive Functions and Metamathematics deals with problems of the completeness and decidability of...

Információk a könyvről

Szerző
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2010
oldal
395
EAN
9789048152988
ISBN
9048152984
Enbook ID
05322519
Kiadó
Súly
629
Méretek
155 x 235 x 23

Teljes leírás

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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