| Mathematical Logic: An Introduction to Model Theory Softcover Repri Edition Contributor(s): Lightstone, A. (Author) |
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ISBN: 1461587522 ISBN-13: 9781461587521 Publisher: Springer OUR PRICE: $113.99 Product Type: Paperback Published: December 2012 |
| Additional Information |
| BISAC Categories: - Mathematics | Logic |
| Dewey: 511.3 |
| Series: Mathematical Concepts and Methods in Science and Engineering |
| Physical Information: 0.74" H x 6.14" W x 9.21" (1.10 lbs) 338 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Before his death in March, 1976, A. H. Lightstone delivered the manu- script for this book to Plenum Press. Because he died before the editorial work on the manuscript was completed, I agreed (in the fall of 1976) to serve as a surrogate author and to see the project through to completion. I have changed the manuscript as little as possible, altering certain passages to correct oversights. But the alterations are minor; this is Lightstone's book. H. B. Enderton vii Preface This is a treatment of the predicate calculus in a form that serves as a foundation for nonstandard analysis. Classically, the predicates and variables of the predicate calculus are kept distinct, inasmuch as no variable is also a predicate; moreover, each predicate is assigned an order, a unique natural number that indicates the length of each tuple to which the predicate can be prefixed. These restrictions are dropped here, in order to develop a flexible, expressive language capable of exploiting the potential of nonstandard analysis. To assist the reader in grasping the basic ideas of logic, we begin in Part I by presenting the propositional calculus and statement systems. This provides a relatively simple setting in which to grapple with the some- times foreign ideas of mathematical logic. These ideas are repeated in Part II, where the predicate calculus and semantical systems are studied. |