Recursive Functions And Metamathematics PDF Download
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Author | : Roman Murawski |
Publisher | : Springer Science & Business Media |
Total Pages | : 416 |
Release | : 2013-03-14 |
Genre | : Philosophy |
ISBN | : 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.
Author | : Roman Murawski |
Publisher | : |
Total Pages | : 412 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9789401728676 |
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Author | : Raymond M. Smullyan |
Publisher | : Oxford University Press, USA |
Total Pages | : 180 |
Release | : 1993 |
Genre | : Computers |
ISBN | : 019508232X |
Download Recursion Theory for Metamathematics Book in PDF, ePub and Kindle
This work is a sequel to the author's Gödel's Incompleteness Theorems, though it can be read independently by anyone familiar with Gödel's incompleteness theorem for Peano arithmetic. The book deals mainly with those aspects of recursion theory that have applications to the metamathematics of incompleteness, undecidability, and related topics. It is both an introduction to the theory and a presentation of new results in the field.
Author | : Hartley Rogers |
Publisher | : |
Total Pages | : 526 |
Release | : 1967 |
Genre | : Mathematics |
ISBN | : |
Download Theory of Recursive Functions and Effective Computability Book in PDF, ePub and Kindle
Author | : Stephen Cole Kleene |
Publisher | : |
Total Pages | : 222 |
Release | : 1965 |
Genre | : Intuitionistic mathematics |
ISBN | : |
Download The Foundations of Intuitionistic Mathematics Book in PDF, ePub and Kindle
Author | : Rod Adams |
Publisher | : Docent Press |
Total Pages | : 312 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 0983700400 |
Download An Early History of Recursive Functions and Computability Book in PDF, ePub and Kindle
Traces the development of recursive functions from their origins in the late nineteenth century to the mid-1930s, with particular emphasis on the work and influence of Kurt Gödel.
Author | : Anil Nerode |
Publisher | : American Mathematical Soc. |
Total Pages | : 538 |
Release | : 1985 |
Genre | : Mathematics |
ISBN | : 0821814478 |
Download Recursion Theory Book in PDF, ePub and Kindle
Author | : Rózsa Péter |
Publisher | : |
Total Pages | : 308 |
Release | : 1967 |
Genre | : Recursive functions |
ISBN | : |
Download Recursive Functions Book in PDF, ePub and Kindle
Author | : Petr Hájek |
Publisher | : Cambridge University Press |
Total Pages | : 476 |
Release | : 2017-03-02 |
Genre | : Mathematics |
ISBN | : 1316739457 |
Download Metamathematics of First-Order Arithmetic Book in PDF, ePub and Kindle
Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the third publication in the Perspectives in Logic series, is a much-needed monograph on the metamathematics of first-order arithmetic. The authors pay particular attention to subsystems (fragments) of Peano arithmetic and give the reader a deeper understanding of the role of the axiom schema of induction and of the phenomenon of incompleteness. The reader is only assumed to know the basics of mathematical logic, which are reviewed in the preliminaries. Part I develops parts of mathematics and logic in various fragments. Part II is devoted to incompleteness. Finally, Part III studies systems that have the induction schema restricted to bounded formulas (bounded arithmetic).
Author | : Joseph R. Shoenfield |
Publisher | : CRC Press |
Total Pages | : 85 |
Release | : 2018-04-27 |
Genre | : Mathematics |
ISBN | : 1351419412 |
Download Recursion Theory Book in PDF, ePub and Kindle
This volume, which ten years ago appeared as the first in the acclaimed series Lecture Notes in Logic, serves as an introduction to recursion theory. The fundamental concept of recursion makes the idea of computability accessible to a mathematical analysis, thus forming one of the pillars on which modern computer science rests. The clarity and focus of this text have established it as a classic instrument for teaching and self-study that prepares its readers for the study of advanced monographs and the current literature on recursion theory.