书目名称 | Mathematical Logic | 副标题 | An Introduction to M | 编辑 | A. H. Lightstone,H. B. Enderton | 视频video | | 丛书名称 | Mathematical Concepts and Methods in Science and Engineering | 图书封面 |  | 描述 | 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 set | 出版日期 | Book 1978 | 关键词 | Apple; Calc; Mathematica; Natural; Tuple; calculus; form; language; logic; mathematical logic; proof; propositi | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4615-8750-7 | isbn_softcover | 978-1-4615-8752-1 | isbn_ebook | 978-1-4615-8750-7 | copyright | Springer Science+Business Media New York 1978 |
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