Before you leave...
Take 20% off your first order
20% off
Enter the code below at checkout to get 20% off your first order
Foundations of Mathematical Logic (Paperback) (ISBN-13: 9780486634623)
Vendor:
Haskell B. Curry
Product type:
Books
- $29.95
$29.95- $29.95
- Unit price
- per
Subtotal:
$29.95
Description
xThis book is a thoroughly documented and comprehensive account of the constructive theory of the first-order predicate calculus. This is a calculus that is central to modern mathematical logic and important for mathematicians, philosophers, and scientists whose work impinges upon logic.
Professor Curry begins by asking a simple question: What is mathematical logic? If we can define logic as the analysis and criticism of thought (W. E. Johnson), then mathematical logic is, according to Curry, a branch of mathematics which has much the same relation to the analysis and criticism of thought as geometry does to the science of space.
The first half of the book gives the basic principles and outlines of the field. After a general introduction to the subject, the author discusses formal methods including algorithms and epitheory. A brief treatment of the Markov treatment of algorithms is included here. The elementary facts about lattices and similar algebraic systems are then covered. In the second half of the book Curry investigates the possibility for a formulation that expresses the meaning to be attached to the logical connectives and to develop the properties that follow from the assumptions so motivated. The author covers positive connectives: implication, conjunction, and alternation. He then goes on to negation and quantification, and concludes with modal operations. Extensive use is made in these latter chapters of the work of Gentzen. Lists of exercises are included.
Haskell B. Curry, Evan Pugh Research Professor, Emeritus, at Pennsylvania State University, was a member of the Institute for Advanced Study, Princeton; a former Director of the Institute for Foundational Research, the University of Amsterdam; and President of the Association for Symbolic Logic. His book avoids a doctrinaire stance, presenting various interpretations of logical systems, and offers philosophical and reflective as well as mathematical perspectives.
Author: Haskell B. Curry
ISBN-10: 0486634620
ISBN-13: 9780486634623
Publisher: Dover Publications
Language: English
Published: 11/18/2010
Pages: 416
Format: Paperback
Weight: 0.94lbs
Size: 8.23h x 5.60w x 0.78d
Professor Curry begins by asking a simple question: What is mathematical logic? If we can define logic as the analysis and criticism of thought (W. E. Johnson), then mathematical logic is, according to Curry, a branch of mathematics which has much the same relation to the analysis and criticism of thought as geometry does to the science of space.
The first half of the book gives the basic principles and outlines of the field. After a general introduction to the subject, the author discusses formal methods including algorithms and epitheory. A brief treatment of the Markov treatment of algorithms is included here. The elementary facts about lattices and similar algebraic systems are then covered. In the second half of the book Curry investigates the possibility for a formulation that expresses the meaning to be attached to the logical connectives and to develop the properties that follow from the assumptions so motivated. The author covers positive connectives: implication, conjunction, and alternation. He then goes on to negation and quantification, and concludes with modal operations. Extensive use is made in these latter chapters of the work of Gentzen. Lists of exercises are included.
Haskell B. Curry, Evan Pugh Research Professor, Emeritus, at Pennsylvania State University, was a member of the Institute for Advanced Study, Princeton; a former Director of the Institute for Foundational Research, the University of Amsterdam; and President of the Association for Symbolic Logic. His book avoids a doctrinaire stance, presenting various interpretations of logical systems, and offers philosophical and reflective as well as mathematical perspectives.
Author: Haskell B. Curry
ISBN-10: 0486634620
ISBN-13: 9780486634623
Publisher: Dover Publications
Language: English
Published: 11/18/2010
Pages: 416
Format: Paperback
Weight: 0.94lbs
Size: 8.23h x 5.60w x 0.78d
By Haskell B. Curry
xHaskell B. Curry was Evan Pugh Research Professor Emeritus at Pennsylvania State University. He was also a member of the Institute for Advanced Study, Princeton; a Director of the Institute for Foundational Research at the University of Amsterdam; and President of the Association for Symbolic Logic.
Recently Viewed Products
- Choosing a selection results in a full page refresh.