Logic in elementary mathematics by Robert M. Exner

Cover of: Logic in elementary mathematics | Robert M. Exner

Published by McGraw-Hill in New York .

Written in English

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Subjects:

  • Mathematics -- Philosophy.,
  • Logic, Symbolic and mathematical.

Edition Notes

Book details

Statement[by] Robert M. Exner [and] Myron F. Rosskopf.
ContributionsRosskopf, Myron Frederick, joint author.
Classifications
LC ClassificationsQA9 .E96
The Physical Object
Pagination274 p.
Number of Pages274
ID Numbers
Open LibraryOL6251734M
LC Control Number58013865

Download Logic in elementary mathematics

This accessible, applications-related introductory treatment explores some of the structure of modern symbolic logic useful in the exposition of elementary mathematics.

Topics include axiomatic structure and the relation of theory to interpretation. No prior training in logic is necessary, and numerous examples and exercises aid in the mastery of the language of logic.

The authors convey the material in a manner accessible to those trained in standard elementary mathematics but lacking any formal background in logic. Topics include the statement calculus, proof and demonstration, abstract mathematical systems, and the restricted predicate by: 3.

Fundamentals of Elementary Mathematics provides an understanding of the fundamental aspects of elementary mathematics. This book presents the relevance of the mathematical concepts, which are also demonstrated in numerous exercises.

Organized into 10 chapters, this book begins with an overview of the study of logic to understand the nature of Book Edition: 1. Great Problems of Elementary Mathematics is such a goldmine of ingenuity that it is hard to comprehend how it could be sold for so low a price.

Ten dollars is practically a steal. This publication, which was translated into English back inis a concise summary of some of the greatest works of mathematics throughout mankind's history.

A book that should be read by everyone in mathematics regardless of level is Wolfe's A Tour Through Mathematical Logic.

It's simply a compulsory read, I couldn't put it down. It gives a broad overview of mathematical logic and set theory along with its history, and it is absolutely beautifully written. That's the best place for anyone to begin.

The textbook entitled, 'Elementary Mathematics' has been prepared on the basis of attainable competencies for the students of Class Five. The subject matter of the textbook is derived from the basic elements of mathematics following the attainable learning outcomes as depicted in the curriculum.

This will facilitate our young. Get this from a library. Logic in elementary mathematics. [Robert M Exner; Myron Frederick Rosskopf] -- "This accessible, applications-related introductory treatment explores some of the structure of modern symbolic logic useful in the exposition of elementary mathematics.

Topics include axiomatic. Additional Physical Format: Online version: Exner, Robert M. Logic in elementary mathematics. New York, McGraw-Hill, (OCoLC) Document Type. When you start reading, you will realize that, the book is a powerful criticism on the prevalent curriculum of Mathematics in elementary, middle and high schools.

: Ali Kayaspor. forall x is an introduction to sentential logic and first-order predicate logic with identity, logical systems that significantly influenced twentieth-century analytic philosophy. After working through the material in this book, a student should be able to understand most quantified expressions that arise in their philosophical reading/5(8).

Enderton's "Mathematical Introduction to Logic" [1] is one of the best books I've ever read not just one of the best math books, one of the best books. There's a very clear, simple presentation of propositional and first-order logic, from the.

Introduction: What Is Logic. 1 Part 1. Elementary Logic 5 Chapter 1. Sentential Logic 7 0. Introduction 7 1. Sentences of Sentential Logic 8 2.

Truth Assignments 11 3. Logical Consequence 13 4. Compactness 17 5. Formal Deductions 19 6. Exercises 20 20 Chapter 2. First-Order Logic 23 0. Introduction 23 1.

Formulas of First Order Logic 24 2. In mathematics and mathematical logic, Boolean algebra is the branch of algebra in which the values of the variables are the truth values true and false, usually denoted 1 and 0 d of elementary algebra where the values of the variables are Logic in elementary mathematics book, and the prime operations are addition and multiplication, the main operations of Boolean algebra.

This applications-related introductory treatment explores facets of modern symbolic logic useful in the exposition of elementary mathematics. The authors convey the material in a manner accessible to those trained in standard elementary mathematics but lacking any formal background in logic.5/5(2).

Elementary Logic. The Language of Mathematics While we use our natural language to transmit our mathematical ideas, the language has some undesirable features which are not acceptable in mathematics.

Alice saw a man with a telescope. Two sisters were reunited after 10 years in the checkout line atFile Size: KB. This applications-related introductory treatment explores facets of modern symbolic logic useful in the exposition of elementary mathematics.

The authors convey the material in a manner accessible to those trained in standard elementary mathematics but lacking any formal background in logic. This introduction covers the calculus of propositions as well as quantification theory. Presupposing no more than a familiarity with the most elementary principles of logic and mathematics, the book is accessible to the high-school student or the layman desiring a clear and straightforward presentation of the subject that will prepare him to take on the standard, more.

An appendix to TYL, with comments on a number of the more general, multi-area, textbooks on mathematical logic. Last updated 14 December Book Notes Links to 37 separate webpages on the books covered in the Appendix and also to various other books on logic and the philosophy of mathematics.

Latest new page added 23 April Logic in Elementary Mathematics. by Robert M. Exner,Myron F. Rosskopf. Dover Books on Mathematics. Share your thoughts Complete your review. Tell readers what you thought by rating and reviewing this book.

Rate it * You Rated it *Brand: Dover Publications. subject. The best way to find out what mathematical logic is about is to start doing it, and students are advised to begin reading the book even though (or especially if) they have qualms about the meaning and purpose of the subject.

Although logic is. Mathematical Logic is a necessary preliminary to logical Mathematics. The present work is concerned with the 'calculus ratiocinator' aspect, and shows, in an admirably succinct form, the beauty of the calculus of logic regarded as an algebra.

Fundamentals of Elementary Mathematics provides an understanding of the fundamental aspects of elementary mathematics. This book presents the relevance of the mathematical concepts, which are also demonstrated in numerous exercises.

Organized into 10 chapters, this book begins with an overview of the study of logic to understand the nature of. Strands of Elementary Mathematics Number Sense & Numeration.

Number Sense is an understanding of numbers and operations. In the number sense and numeration strand students develop an understanding of numbers by being taught various ways of representing numbers, as well as the relationships among numbers. Undergraduate students with no prior instruction in mathematical logic will benefit from this multi-part text.

Part I offers an elementary but thorough overview of mathematical logic of 1st order. Part II introduces some of the newer ideas and the more profound results of logical research in the 20th century.

edition. this text. I wanted to maintain the inquiry based feel of their book but update, expand and rearrange some of the material. Some of the best exposition and exercises here were graciously donated from this source. Thanks to Alees Seehausen who co-taught the Discrete Mathematics course with me in and helped develop many of the Investigate.

ac-File Size: 1MB. Logic in elementary mathematics Item Preview remove-circle Logic, Symbolic and mathematical, Mathematics -- Philosophy Publisher New York: McGraw-Hill Borrow this book to access EPUB and PDF files.

IN COLLECTIONS. Books to Pages: 1. Structures for Classical Logic 33 2. Beth-Structures for Minimal Logic 35 3. Completeness of Minimal and Intuitionistic Logic 39 4. Completeness of Classical Logic 42 5. Uncountable Languages 44 6.

Basics of Model Theory 48 7. Notes 54 Chapter 3. Computability 55 1. Register Machines 55 2. Elementary Functions 58 3. The Normal Form Theorem 64 Size: 1MB. William Stanley Jevons's book was the seminal contribution that educated many generations of English and American scholars that crucial discipline of logic.

It teaches the rules for thinking. Now, this was a subject that every student once had to take, and not in college but quite early in life, and certainly by high school.

Logic (from Greek: λογική, logikḗ, 'possessed of reason, intellectual, dialectical, argumentative') is the systematic study of the forms of inference, i.e.

the relations that lead to the acceptance of one proposition (the conclusion) on the basis of a set of other propositions ().More broadly, logic is the analysis and appraisal of arguments.

Logic-Math Exercises for Elementary-Age Children, part of the series of logic-math exercise books for children, also comes in a version that is printed in a special dyslexia-friendly font that may make it easier for some children with visual processing problems to read.

Click here for. Find a huge variety of new & used Mathematics Logic books online including bestsellers & rare titles at the best prices. Shop Mathematics Logic books at Alibris. (page 9). Elementary definition Elementary sentence Elementary theory End extension Entitative graph Entscheidungsproblem Enumeration Epsilon calculus Equality (mathematics) Equational logic Equiconsistency Erasure (logic) Existential theory of the reals Extension by definitions Finitary Finitary relation Formal calculation Formal grammar Foundations of.

This introduction covers the calculus of propositions as well as quantification theory. Presupposing no more than a familiarity with the most elementary principles of logic and mathematics, the book is accessible to the high-school student or the layman desiring a clear and straightforward presentation of the subject that will prepare him to take on the standard, more Pages: Math and Logic Problems for Kids.

Math Word Problems – Help the bees with honey word problems. Button Beach Challenge – Mental math for elementary levels. Brain Teasers – Test your noggin and develop your skills in logic and math at the same time. Math and Logic – Word problems, logic puzzles, and math games to entertain you for hours.

You are reading this book. This is a logic book.:_: You are a logic student. This is not a terrible argument. Most people who read this book are logic students. Yet, it is possible for someone besides a logic student to read this book.

If your roommate picked up the book and thumbed through it, they would not immediately become a logic student. This is a book about discrete mathematics which also discusses mathematical rea-soning and logic. Since the publication of the first edition of this book a few years ago, I came to realize that for a significant number of readers, it is their first ex-posure to the rules of mathematical reasoning and to logic.

As a consequence, the. ELEMENTARY MATHEMATICAL LOGIC: INTRODUCTION AND OUTLINE DAVID W. KUEKER 1. Introduction: What is Logic.

Mathematical Logic is, at least in its origins, the study of reasoning as used in mathematics. Mathematical reasoning is deductive — that is, it consists of drawing (correct) conclusions from given hypotheses.

Thus the. Higher Mathematics For Engineers And Physicists. This book is considered as a great reference book for beginners. The chief purpose of the book is to help to bridge the gap which separates many engineers from mathematics by giving them a bird's-eye view of those mathematical topics which are indispensable in the study of the physical sciences.

I like the book's progression, it starts off by reasoning about logical concepts in ordinary language, and then developing the case for Propositional Logic and First-Order Predicate Logic, it finishes with a paged chapter on topics such as Liklihood, Intension, Modal Logic and Semantics.

I give the book 4 stars becuase the chapter on Predicate/5. Find a huge variety of new & used Mathematics Logic books online including bestsellers & rare titles at the best prices. Shop Mathematics Logic books at Alibris.

(page 8). This is the ideal book to read during the last years at school, or early in an undergraduate degree. School maths is often about understanding mathematical concepts intuitively via rote learning, repetition and visualization/5.

If you have some experience in proof writing, I would say read “Naive Set Theory” by Paul Halmos. And not only read it; do the exercises. It’s only about pages and a lot of the details are left as exercises for the reader, but in my opion the.Single Statements [].

A proposition is a statement that can be either true or false. It is a claim. Consider these statements: I am human. 1 + 1 = 2 Roses are red and violets are blue. These statements can be either true or false.

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