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Review
'This is a remarkable book, presenting an introduction to mathematical logic and axiomatic set theory from a unified standpoint … also eminently suitable for self-study by mature mathematicians who wish to acquire a well-balanced and deeper knowledge of a field that is not part of their specialty … The author's presentation is a model of clarity, and much of the liveliness of a lecture has been preserved in the write-up. The various asides, cross-references, and care in motivating definitions and concepts all contribute to the value of the book as an instructional source … a treasure in its genre, to be highly recommended by the reviewer.' MathSciNet
'… a real sense of freshness and vitality … I found this a very readable and stimulating book. Forster writes with an agreeably light touch and a whimsical sense of fun and his use of rectypes as a leitmotiv is both innovative and inspired.' The Mathematical Gazette
'The author's philosophical training leads him to accompany many definitions with lengthy reflexions which add interest and enliven the book.' Mathematika
'… a real sense of freshness and vitality … I found this a very readable and stimulating book. Forster writes with an agreeably light touch and a whimsical sense of fun and his use of rectypes as a leitmotiv is both innovative and inspired.' The Mathematical Gazette
'The author's philosophical training leads him to accompany many definitions with lengthy reflexions which add interest and enliven the book.' Mathematika
Review
'This is a remarkable book, presenting an introduction to mathematical logic and axiomatic set theory from a unified standpoint ... also eminently suitable for self-study by mature mathematicians who wish to acquire a well-balanced and deeper knowledge of a field that is not part of their specialty ... The author's presentation is a model of clarity, and much of the liveliness of a lecture has been preserved in the write-up. The various asides, cross-references, and care in motivating definitions and concepts all contribute to the value of the book as an instructional source ... a treasure in its genre, to be highly recommended by the reviewer.' MathSciNet '... a real sense of freshness and vitality ... I found this a very readable and stimulating book. Forster writes with an agreeably light touch and a whimsical sense of fun and his use of rectypes as a leitmotiv is both innovative and inspired.' The Mathematical Gazette 'The author's philosophical training leads him to accompany many definitions with lengthy reflexions which add interest and enliven the book.' Mathematika
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17 of 18 people found the following review helpful
Unusual reliance on text rather than equations
26 Oct 2003
Format:Paperback
As a regular reviewer who reads the books he reviews, I am beginning to find a routine sameness to many of the books I examine. This holds for introductory logic, some areas of which have not changed for thousands of years. In many cases, it has become so routine that it is very hard to read the books, and to solve this problem I have adopted the solution that I read approximately ten pages at a time. Most books covering this material are a sequential listing and proving of the fundamental theorems. Correct, but hardly a point of differentiation between books.
Fortunately, I found this book to be different. The author uses more explanatory text and fewer equations than most others do. While that alone does not make it better, the quality of the exposition does. There was more enthusiasm generated when reading this book than I have had in a long time when reading an introductory mathematics book. There was no reason to adopt the ten page rule. Despite the relative lack of equations, all of the basics are covered in sufficient detail. One hundred and thirty eight exercises are interspersed within the text and solutions to approximately one fourth of the exercises are included.
A book that can be used as a textbook or for self-study, it manages to be different enough to read easily, but not so different that it is difficult to learn from.
Fortunately, I found this book to be different. The author uses more explanatory text and fewer equations than most others do. While that alone does not make it better, the quality of the exposition does. There was more enthusiasm generated when reading this book than I have had in a long time when reading an introductory mathematics book. There was no reason to adopt the ten page rule. Despite the relative lack of equations, all of the basics are covered in sufficient detail. One hundred and thirty eight exercises are interspersed within the text and solutions to approximately one fourth of the exercises are included.
A book that can be used as a textbook or for self-study, it manages to be different enough to read easily, but not so different that it is difficult to learn from.
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