Logic In Elementary Mathematics

Download or read book Introduction to Elementary Mathematical Logic written by Abram Aronovich Stolyar and published by Courier Corporation. This book was released on 1984-01-01 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lucid, non-intimidating presentation by a Russian scholar explores propositional logic, propositional calculus, and predicate logic. Topics include computer science and systems analysis, linguistics, and problems in the foundations of mathematics. Accessible to high school students, it also constitutes a valuable review of fundamentals for professionals. 1970 edition.

Download or read book Logic in Elementary Mathematics written by Robert M. Exner and published by Courier Corporation. This book was released on 2011-01-01 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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. 1959 edition"--

Download or read book Mathematics and Logic written by Mark Kac and published by Courier Corporation. This book was released on 1992-01-01 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fascinating study of the origin and nature of mathematical thought, including relation of mathematics and science, 20th-century developments, impact of computers, and more.Includes 34 illustrations. 1968 edition."

Download or read book ELEMENTARY LOGIC REV ED P written by W. V. QUINE and published by Harvard University Press. This book was released on 2009-06-30 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now much revised since its first appearance in 1941, this book, despite its brevity, is notable for its scope and rigor. It provides a single strand of simple techniques for the central business of modern logic. Basic formal concepts are explained, the paraphrasing of words into symbols is treated at some length, and a testing procedure is given for truth-function logic along with a complete proof procedure for the logic of quantifiers. Fully one third of this revised edition is new, and presents a nearly complete turnover in crucial techniques of testing and proving, some change of notation, and some updating of terminology. The study is intended primarily as a convenient encapsulation of minimum essentials, but concludes by giving brief glimpses of further matters.

Download or read book Math and Logic Puzzles That Make Kids Think! written by Jeffrey J. Wanko and published by Routledge. This book was released on 2021-09-03 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kids love exploring new ways of solving problems, especially in fun and challenging puzzle formats. In Math and Logic Puzzles That Make Kids Think!, the author presents several variations on Sudoku—the most well-known type of logic puzzle—in an easy-to-use, exciting format perfect for any math classroom. These language-independent logic puzzles provide kids with great problems to stretch how they think and reason. Each puzzle variation utilizes some of the basic strategies of Sudoku puzzles, but each one also draws upon other areas of mathematics—ordering of numbers, properties of geometric shapes, basic operations, or enriched number sense. This book provides teachers with puzzles arranged by difficulty level that can be used to support and enhance students' mathematical investigations. It also provides a new and exciting context for the development of students' deductive reasoning skills, which can lay the foundation for further mathematical exploration. Grades 6-8

Download or read book Introduction to Mathematical Logic written by Elliot Mendelsohn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a compact mtroduction to some of the pnncipal tOpICS of mathematical logic . In the belief that beginners should be exposed to the most natural and easiest proofs, I have used free-swinging set-theoretic methods. The significance of a demand for constructive proofs can be evaluated only after a certain amount of experience with mathematical logic has been obtained. If we are to be expelled from "Cantor's paradise" (as nonconstructive set theory was called by Hilbert), at least we should know what we are missing. The major changes in this new edition are the following. (1) In Chapter 5, Effective Computability, Turing-computabIlity IS now the central notion, and diagrams (flow-charts) are used to construct Turing machines. There are also treatments of Markov algorithms, Herbrand-Godel-computability, register machines, and random access machines. Recursion theory is gone into a little more deeply, including the s-m-n theorem, the recursion theorem, and Rice's Theorem. (2) The proofs of the Incompleteness Theorems are now based upon the Diagonalization Lemma. Lob's Theorem and its connection with Godel's Second Theorem are also studied. (3) In Chapter 2, Quantification Theory, Henkin's proof of the completeness theorem has been postponed until the reader has gained more experience in proof techniques. The exposition of the proof itself has been improved by breaking it down into smaller pieces and using the notion of a scapegoat theory. There is also an entirely new section on semantic trees.

Download or read book Logic in Elementary Mathematics written by Robert M. Exner and published by Courier Corporation. This book was released on 2011-06-16 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This accessible, applications-related introductory treatment explores some of the structure of modern symbolic logic useful in the exposition of elementary mathematics. Numerous examples and exercises. 1959 edition.