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Titlebook: Elements of Logic via Numbers and Sets; D. L. Johnson Textbook 1998 Springer-Verlag London 1998 Addition.Arithmetic.Cantor.Cardinal number

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发表于 2025-3-21 17:37:23 | 显示全部楼层 |阅读模式
书目名称Elements of Logic via Numbers and Sets
编辑D. L. Johnson
视频video
概述AN ELEMENTARY TEXT THAT WILL INTRODUCE SCHOOL-LEAVERS TO THE CHANGE IN ATTITUDE AND APPROACH NECESSARY TO BECOME UNIVERSITY STUDENTS INTRODUCES THE ROLE AND NATURE OF PROOFS, AND SET THEORIES.Includes
丛书名称Springer Undergraduate Mathematics Series
图书封面Titlebook: Elements of Logic via Numbers and Sets;  D. L. Johnson Textbook 1998 Springer-Verlag London 1998 Addition.Arithmetic.Cantor.Cardinal number
描述In mathematics we are interested in why a particular formula is true. Intuition and statistical evidence are insufficient, so we need to construct a formal logical proof. The purpose of this book is to describe why such proofs are important, what they are made of, how to recognize valid ones, how to distinguish different kinds, and how to construct them. This book is written for 1st year students with no previous experience of formulating proofs. Dave Johnson has drawn from his considerable experience to provide a text that concentrates on the most important elements of the subject using clear, simple explanations that require no background knowledge of logic. It gives many useful examples and problems, many with fully-worked solutions at the end of the book. In addition to a comprehensive index, there is also a useful `Dramatis Personae` an index to the many symbols introduced in the text, most of which will be new to students and which will be used throughout their degree programme.
出版日期Textbook 1998
关键词Addition; Arithmetic; Cantor; Cardinal number; Countable set; Equivalence; mathematics; proof; proof by cont
版次1
doihttps://doi.org/10.1007/978-1-4471-0603-6
isbn_softcover978-3-540-76123-5
isbn_ebook978-1-4471-0603-6Series ISSN 1615-2085 Series E-ISSN 2197-4144
issn_series 1615-2085
copyrightSpringer-Verlag London 1998
The information of publication is updating

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发表于 2025-3-21 23:59:14 | 显示全部楼层
,Verhandlungstechnik und Konfliktlösung,ven relation . on a set . may or may not hold between two elements α,. ∈.. Listing or otherwise describing the ordered pairs (α, .) for which it does hold defines the relation. This leads to the following definition, which is a nice example of how to attach a precise mathematical meaning to an everyday word.
发表于 2025-3-22 02:59:11 | 显示全部楼层
Relations,ven relation . on a set . may or may not hold between two elements α,. ∈.. Listing or otherwise describing the ordered pairs (α, .) for which it does hold defines the relation. This leads to the following definition, which is a nice example of how to attach a precise mathematical meaning to an everyday word.
发表于 2025-3-22 05:07:18 | 显示全部楼层
A Brief History of Obstetric Complications,integers and, at the same time, the means by which such properties are established. This revolves around the concept of a mathematical .,of which we give examples of four kinds, finishing up with the most important for ℕ, proof by induction.
发表于 2025-3-22 11:27:34 | 显示全部楼层
Textbook 1998ormal logical proof. The purpose of this book is to describe why such proofs are important, what they are made of, how to recognize valid ones, how to distinguish different kinds, and how to construct them. This book is written for 1st year students with no previous experience of formulating proofs.
发表于 2025-3-22 15:12:24 | 显示全部楼层
Numbers,integers and, at the same time, the means by which such properties are established. This revolves around the concept of a mathematical .,of which we give examples of four kinds, finishing up with the most important for ℕ, proof by induction.
发表于 2025-3-22 19:12:51 | 显示全部楼层
1615-2085 Personae` an index to the many symbols introduced in the text, most of which will be new to students and which will be used throughout their degree programme.978-3-540-76123-5978-1-4471-0603-6Series ISSN 1615-2085 Series E-ISSN 2197-4144
发表于 2025-3-22 22:36:52 | 显示全部楼层
Textbook 1998he end of the book. In addition to a comprehensive index, there is also a useful `Dramatis Personae` an index to the many symbols introduced in the text, most of which will be new to students and which will be used throughout their degree programme.
发表于 2025-3-23 03:50:46 | 显示全部楼层
发表于 2025-3-23 08:42:02 | 显示全部楼层
Sets, By way of contrast, the number of definitions of the word “set” in this book is none. The reason for this is that in modern mathematics the notion of set is fundamental. For example, numbers can be defined in terms of sets, and this will occupy us towards the end of the book, with the object of gai
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