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- De Gruyter 2014; US$ 154.00
The essays collected in this volume focus on the role of formalist aspects in mathematical theorizing and practice, examining issues such as infinity, finiteness, and proof procedures, as well as central historical figures in the field, including Frege, Russell, Hilbert and Wittgenstein. Using modern logico-philosophical tools and systematic... more...
- World Scientific Publishing Company 2014; US$ 60.00
This book is a brief and focused introduction to the reverse mathematics and computability theory of combinatorial principles, an area of research which has seen a particular surge of activity in the last few years. It provides an overview of some fundamental ideas and techniques, and enough context to make it possible for students with at least a... more...
- Elsevier Science 2008; US$ 180.00
Aimed at starting researchers in the field, Realizability gives a rigorous, yet reasonable introduction to the basic concepts of a field which has passed several successive phases of abstraction. Material from previously unpublished sources such as Ph.D. theses, unpublished papers, etc. has been molded into one comprehensive presentation of the subject... more...
- Springer 2007; US$ 79.95
Universal Logic is a general theory of logics, considered as mathematical structures. This book contains various works on universal logic by researchers from around the world. It also provides tools and concepts for those who want to study classes of already existing logics or want to design and build fresh ones. more...
- Oxford University Press, UK 2007; US$ 69.99
Assuming no previous study in logic, this informal yet rigorous text covers the material of a standard undergraduate first course in mathematical logic, using natural deduction and leading up to the completeness theorem for first-order logic. - ;Assuming no previous study in logic, this informal yet rigorous text covers the material of a standard undergraduate... more...
- CRC Press 2006; US$ 47.95
Davis is one of a very small group of mathematicians who are interested and able to step outside the community and take a hard look at what mathematics really 'is'. Its uses, misuses, customs, relations with the so-called 'real' world, psychology and deep nature are all grist for his voracious mill."" -David Mumford, Brown University, November 2006... more...
- Springer 2005; US$ 69.95
Universal Logic is not a new logic, but a general theory of logics, considered as mathematical structures. The name was introduced about ten years ago, but the subject is as old as the beginning of modern logic: Alfred Tarski and other Polish logicians such as Adolf Lindenbaum developed a general theory of logics at the end of the 1920s based on consequence... more...
- Cambridge University Press 2003; US$ 72.00
This two-volume 2003 work bridges the gap between introductory texts and the research literature. more...
- Cambridge University Press 2003; US$ 46.00
This 2003 two-volume set bridges the gap between introductory texts and the research literature. more...