5 edition of **Mathematical Logic and Computability (International Series in Pure and Applied Mathematics)** found in the catalog.

Mathematical Logic and Computability (International Series in Pure and Applied Mathematics)

H. Jerome Keisler

- 10 Want to read
- 25 Currently reading

Published
**April 2000**
by Mcgraw-Hill (Tx)
.

Written in English

The Physical Object | |
---|---|

Number of Pages | 496 |

ID Numbers | |

Open Library | OL7310205M |

ISBN 10 | 0079129315 |

ISBN 10 | 9780079129314 |

This is a systematic and well-paced introduction to mathematical logic. Excellent as a course text, the book presupposes only elementary background and can be used also for self-study by more ambitious students. Starting with the basics of set theory, induction and computability, it covers. This book is a free text intended to be the basis for a problem-oriented course(s) in mathematical logic and computabilityfor students with some degree of mathematical sophistication. Parts I and II cover the basics of propositional and rst-order logic respectively, Part III covers the basics of computability using Turing machines and recursiveFile Size: KB.

Mathematical Logic is a collection of the works of one of the leading figures in 20th-century science. This collection of A.M. Turing's works is intended to include all his mature scientific writing, including a substantial quantity of unpublished material. His work in pure mathematics and Pages: S. Barry Cooper, in Studies in Logic and the Foundations of Mathematics, 1 Logic, Hierarchies and Approximations. In the 's, Gödel [, ], Turing [], Church [] and others discovered the undecidability of a range of decision problems basic to mathematics. The notion of relative (Turing) computability which grew out of this work can be used to unite .

Widely praised for its clarity and thorough coverage, this comprehensive overview of mathematical logic is suitable for readers of many different backgrounds. Designed primarily for advanced undergraduates and graduate students of mathematics, the treatment also contains much of interest to advanced students in computer science and introductory . Interactions of mathematical logic (computability theory, set theory, model theory) with algebra and combinatorics. Research Papers. The complexity of primes in computable UFDs (with D. Dzhafarov), pdf, Notre Dame Journal of Formal Logic, 59 (), no. 2,

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Mathematical Logic and Computability J. Keisler, K. Kunen, T. Millar, A. Miller, J. Robbin Febru This version is from Spring 0. Computability and Logic has become a classic because of its accessibility to students without a mathematical background and because it covers not simply the staple topics of an intermediate logic course, such as Godel's incompleteness theorems, but also a large number of optional topics, from Turing's theory of computability to Ramsey's by: Mathematical Logic and Computability (International Series in Mathematical Logic and Computability book and Applied Mathematics) by H.

Jerome Keisler (Author) out of 5 stars 2 ratings. ISBN ISBN Why is ISBN important. ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book.

Cited by: 7. Mathematical logic is a fundamental instrument in the construction of computers and the formation of programming languages. This wiki is going to be written thinking about people who want to know the precise concepts and fundamental rules of logic, or the reasons behind these rules.

Book:Mathematical Logic. Jump to navigation Jump to search. WARNING. The in-house PDF Download as PDF. This is a Wikipedia book, a collection of Wikipedia articles that can be easily saved, imported by an external electronic rendering service, and ordered (logic) Computability theory Conservativity theorem Continuous predicate Contradiction.

His work in pure mathematics and mathematical logic extended considerably further; the work of his last years, on morphogenesis in plants, is also of the greatest originality and of permanent importance. This book is divided into three parts. The first part focuses on computability and ordinal logics and covers Turing's work between and Intended for a one-semester advanced undergraduate course in mathematical logic, this book requires some prior knowledge of mathematical proof.

The authors emphasize proof theory of computation rather than set theory. A Course in Mathematical Logic for Mathematicians, Second Edition offers a straightforward introduction to modern mathematical logic that will appeal to the intuition of working mathematicians.

The book begins with an elementary introduction to formal languages and proceeds to a discussion of proof theory. A comprehensive and user-friendly guide to the use of logic in mathematical reasoning. Mathematical Logic presents a comprehensive introduction to formal methods of logic and their use as a reliable tool for deductive reasoning.

With its user-friendly approach, this book successfully equips readers with the key concepts and methods for formulating valid Author: George Tourlakis. Mathematical Logic books at E-Books Directory: files with free access on the Internet. proof theory, and computability theory.

The text is designed to be used either in an upper division undergraduate classroom, or for self study. The purpose of this book is to teach logic and mathematical reasoning in practice, and to connect logical.

In this book mathematical logic is presented both as a part of mathe matics and as the result of its self-perception. Thus, the substance of the book consists of difficult proofs of subtle theorems, and the spirit of the book consists of attempts to explain what these theorems say about the mathematical way of thought.

mathematical logic. [n the belief that beginners should be exposed to the easiest and most natural proofs, I have used free-swinging set-theoretic methods. The significance of a demand for constructive proofs can be evaluated only after a certain amount of experience with mathematical logic has been obtained.

He is the author of numerous papers on computability theory and mathematical logic. His Annals of Mathematics paper on automorphisms of computably enumerable sets was selected in the book by Gerald Sacks as one of the most important in mathematical logic in the twentieth : Springer-Verlag Berlin Heidelberg.

Quick links. Teach Yourself Logic A Study Guide (find it on by preference, or here); Appendix: Some Big Books on Mathematical Logic (pdf); Book Notes (links to 37 book-by-book webpages, the content overlapping with the Appendix); In more detail, on TYL.

Most philosophy departments, and many maths departments too, teach little or no serious logic. This is an excellent book, which compares favorably with major competitors like van Dalen’s Logic and Structure and Enderton’s A Mathematical Introduction to Logic.

The text addresses three major themes: the propositional calculus, the predicate calculus, and the general theory of computability and decidability.

A book that should be read by everyone in mathematics regardless of level is Wolfe's A Tour Through Mathematical Logic. It's simply a compulsory read, I couldn't put it down.

It gives a broad overview of mathematical logic and set theory along with. The second part of the book, on computability, starts with a chapter on recursive functions, shifting our attention from the concept of mathematical truth to computational or algorithmic processes.

This chapter begins with an intuitive discussion of the notion of algorithm and then makes this notion precise by introducing computable functions. Proofs and Algorithms: An Introduction to Logic and Computability is an introduction to the fundamental concepts of contemporary logic - those of a proof, a computable function, a model and a set.

It presents a series of results, both positive and negative, - Church's undecidability theorem, Gödel’s incompleteness theorem, the theorem. The book is a unified introduction to the modern theory of these concepts, to the way in which they developed first in mathematical logic and computability theory and later in automata theory, and to the theory of formal languages and complexity theory.

This wiki page is a continuation of another wiki: Mathematical Logic and Computability. At the end of this chapter, I'll review both of them.

This section is not only of interest for the study of mathematical logic, but also for the ordinary one. In this chapter we will see, among other things, that Four-Color Problem (already solved, it's already a theorem) has an affirmative.

A comprehensive and user-friendly guide to the use of logic in mathematical reasoning. Mathematical Logic presents a comprehensive introduction to formal methods of logic and their use as a reliable tool for deductive reasoning. With its user-friendly approach, this book successfully equips readers with the key concepts and methods for formulating valid .A comprehensive and user-friendly guide to the use of logic in mathematical reasoning.

Mathematical Logic presents a comprehensive introduction to formal methods of logic and their use as a reliable tool for deductive reasoning.

With its user-friendly approach, this book successfully equips readers with the key concepts and methods for formulating valid .Logic The main subject of Mathematical Logic is mathematical proof. In this introductory chapter we deal with the basics of formalizing such proofs.

The system we pick for the representation of proofs is Gentzen’s natural deduc-tion, from [8]. Our File Size: 1MB.