2020ok Directory of FREE Online Books and FREE eBooks |

## Mathematical Logicby Stephen G. Simpson Download Book(Respecting the intellectual property of others is utmost important to us, we make every effort to make sure we only link to legitimate sites, such as those sites owned by authors and publishers. If you have any questions about these links, please contact us.) link 1 About BookReview"...the book remains my text of choice for this type of material, and I highly recommend it to anyone teaching a first logic course at this level." - Journal of Symbolic Logic Book DescriptionThis junior/senior level text is devoted to a study of first-order logic and its role in the foundations of mathematics: What is a proof? How can a proof be justified? To what extent can a proof be made a purely mechanical procedure? How much faith can we have in a proof that is so complex that no one can follow it through in a lifetime? The first substantial answers to these questions have only been obtained in this century. The most striking results are contained in Goedel's work: First, it is possible to give a simple set of rules that suffice to carry out all mathematical proofs; but, second, these rules are necessarily incomplete - it is impossible, for example, to prove all true statements of arithmetic. The book begins with an introduction to first-order logic, Goedel's theorem, and model theory. A second part covers extensions of first-order logic and limitations of the formal methods. The book covers several advanced topics, not commonly treated in introductory texts, such as Trachtenbrot's undecidability theorem. Fraissé's elementary equivalence, and Lindstroem's theorem on the maximality of first-order logic. Language NotesText: English (translation) Original Language: German ## Related Free eBooks- Mathematical Logic - an Introduction
- Course Notes in Logic, Model Theory, Computability and Unsolvability
- Mathematical Methods for Engineers
- Mathematical Methods for Engineers I, Fall 2005
- Mathematical Methods for Engineers II, Spring 2005
- Mathematical Statistics, Spring 2003
- Methods of Mathematical Physics
- Probability Theory As Extended Logic
- Tables of Integrals and other Mathematical data
- Topics in Applied Mathematics: Mathematical Methods in Nanophotonics, Fall 2005
- Volume I: History of the Second Fifty Years, American Mathematical Society, 1939 - 1988
- Volume I: Semicentennial History of the American Mathematical Society, 1888--1938
- Volume II: Semicentennial Addresses of the American Mathematical Society,
- A Problem Course In Mathematical Logic
- Mathematical Illustrations, a manual of geometry and postscript
- Mathematical ideas and notions of quantum field theory
- Probability Theory: The Logic Of Science
- Miscellaneous Mathematical Constants
- A Manual of Mathematical Ilustration
- ASSOCIATION FOR SYMBOLIC LOGIC
- Constructive Logics. Part II: Linear Logic and Proof Nets
- Further Mathematical Methods
- Holomorphic Methods in Analysis and Mathematical Physics
- Introduction to Methods of Applied Mathematics or Advances Mathematical Methods for Scientists and Engineers
- Logic for Everyone
- Mathematical Analysis I
- Mathematical Exposition, Spring 2005
- Bulletin of the American Mathematical Society
| ## Related Tags |

## Comments

Pradeep, HYderabad, Andhra Pradesh, 2010-01-17 07:56:57

## SEND A COMMENT

PLEASE READ: All comments must be approved before appearing in the thread; time and space constraints prevent all comments from appearing. We will only approve comments that are directly related to the article, use appropriate language and are not attacking the comments of others.