At the heart of the justification for the reasoning used in modern mathematics lies the completeness theorem for predicate calculus. This unique textbook covers two entirely different ways of looking at such reasoning. Topics include: the representation of mathematical statements by formulas in a formal language; the interpretation of formulas as true or false in a mathematical structure; logical consequence of one formula from others; formal proof; the soundness and completeness theorems connecting logical consequence and formal proof; the axiomatization of some mathematical theories using a formal language; the compactness theorem and an introduction to model theory. This book is designed for self-study by students, as well as for taught courses, using principles successfully developed by the Open University and used across the world. It includes exercises embedded within the text with full solutions to many of these. In addition there are a number of exercises without answers so that students studying under the guidance of a tutor may be assessed on the basis of what has been taught. Some experience of axiom-based mathematics is required but no previous experience of logic. Propositional and Predicate Calculus gives students the basis for further study of mathematical logic and the use of formal languages in other subjects. Derek Goldrei is Senior Lecturer and Staff Tutor at the Open University and part-time Lecturer in Mathematics at Mansfield College, Oxford, UK.
具體描述
讀後感
評分
評分
評分
評分
用戶評價
4lrequire, extremely clear, generalization rule in first order predicate a bit loose, open door for second order predicate where quantifiers for both elements and sets are explored.
评分4lrequire, extremely clear, generalization rule in first order predicate a bit loose, open door for second order predicate where quantifiers for both elements and sets are explored.
评分4lrequire, extremely clear, generalization rule in first order predicate a bit loose, open door for second order predicate where quantifiers for both elements and sets are explored.
评分4lrequire, extremely clear, generalization rule in first order predicate a bit loose, open door for second order predicate where quantifiers for both elements and sets are explored.
评分4lrequire, extremely clear, generalization rule in first order predicate a bit loose, open door for second order predicate where quantifiers for both elements and sets are explored.
相關圖書
本站所有內容均為互聯網搜索引擎提供的公開搜索信息，本站不存儲任何數據與內容，任何內容與數據均與本站無關，如有需要請聯繫相關搜索引擎包括但不限於百度，google,bing,sogou 等
© 2025 qciss.net All Rights Reserved. 小哈圖書下載中心 版权所有