A concise introduction to mathematical logic universitext. Sorry, we are unable to provide the full text but you may find it at the following locations. A concise introduction to mathematical logic researchgate. Go a concise introduction to mathematical logic author. A concise introduction to mathematical logic universitext kindle edition by rautenberg, wolfgang.
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While there are already several wellknown textbooks on mathematical logic, this book is unique in that it is more concise than most others. This book treats the most important material in a concise and streamlined fashion. A concise introduction to mathematical logic by wolfgang. Introduction xni notation xvi 1 propositional logic 1 1.
The lecture will follow the book a concise introduction to mathematical logic by wolfgang rautenberg springer, universitext, third edition. Pdf introduction to mathematical logic download ebook full. This allows the lecturer to select the material for a onesemester course on a topic more easily. In this edition, the author has added an extensive appendix on secondorder logic, a section on set theory with urelements, and a section on the logic that results when we allow models with empty domains. Download citation on jan 1, 2006, wolfgang rautenberg and others published a concise introduction to mathematical logic find, read and cite all the. It contains classical material such as logical calculi, beginnings of model theory, and goedels incompleteness theorems, as well as some topics motivated by applications. Mathematical logic is a subfield of mathematics exploring the applications of formal logic to mathematics. You may copy it, give it away or reuse it under the terms of the project gutenberg license included with this ebook or online at. Project gutenberg s the mathematical analysis of logic, by george boole this ebook is for the use of anyone anywhere at no cost and with almost no restrictions whatsoever. Use features like bookmarks, note taking and highlighting while reading a concise introduction to mathematical logic universitext.
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General mathematical systems, selfreference, nonclassical logic, modal and tense logic. The textbook by professor wolfgang rautenberg is a wellwritten in. It covers propositional logic, firstorder logic, firstorder number theory, axiomatic set theory, and the theory of computability. While there are already several wellknown textbooks on mathematical logic, this book is unique in that it is much more concise than most others, and the material is treated in a streamlined fashion which allows the professor to cover many important topics in a one semester course. See wolfgang rautenberg, a concise introduction to mathematical logic, 3rd ed 2010.
A concise introduction to mathematical logic universitext 2. Traditional logic as a part of philosophy is one of the oldest scientific disciplines. A concise introduction to mathematical logic springerlink. Mathematical logic, however, is a relatively young discipline and arose from the. Wolfgang rautenbergs a concise introduction to mathematical logic is a pretty ambitious undertaking, seeing that at the indicated introductory level it covers classical material and godels incompleteness theorems, as well as some topics motivated by applications, such as chapter on logic programming from the foreword by lev. A concise introduction to mathematical logic wolfgang rautenberg traditional logic as a part of philosophy is one of the oldest scientific disciplines and can be traced back to the stoics and to aristotle. A concise introduction to mathematical logic mathematical. Wolfgang rautenbergs a concise introduction to mathematical logic is a pretty ambitious undertaking, seeing that at the indicated introductory level it covers classical material such as logical calculi, the beginnings of model theory, and godels incompleteness theorems, as well as some topics motivated by applications, such as a chapter on logic programming from the foreword by. A concise introduction to mathematical logic download link. Mathematical logic, however, is a relatively young discipline and arose from the endeavors of peano, frege, russell and others to create a logistic foundation for mathematics. Written in an easy to read, informal style, this textbook assumes only a basic knowledge of programming on the part of the reader.
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