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The Logical Method
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Download or read book Logical Methods written by Roger Antonsen and published by Springer. This book was released on 2021-02-11 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many believe mathematics is only about calculations, formulas, numbers, and strange letters. But mathematics is much more than just crunching numbers or manipulating symbols. Mathematics is about discovering patterns, uncovering hidden structures, finding counterexamples, and thinking logically. Mathematics is a way of thinking. It is an activity that is both highly creative and challenging. This book offers an introduction to mathematical reasoning for beginning university or college students, providing a solid foundation for further study in mathematics, computer science, and related disciplines. Written in a manner that directly conveys the sense of excitement and discovery at the heart of doing science, its 25 short and visually appealing chapters cover the basics of set theory, logic, proof methods, combinatorics, graph theory, and much more. In the book you will, among other things, find answers to: What is a proof? What is a counterexample? What does it mean to say that something follows logically from a set of premises? What does it mean to abstract over something? How can knowledge and information be represented and used in calculations? What is the connection between Morse code and Fibonacci numbers? Why could it take billions of years to solve Hanoi's Tower? Logical Methods is especially appropriate for students encountering such concepts for the very first time. Designed to ease the transition to a university or college level study of mathematics or computer science, it also provides an accessible and fascinating gateway to logical thinking for students of all disciplines.
Book Synopsis An Essay on Logical Method by : Charles Peter Chretien
Download or read book An Essay on Logical Method written by Charles Peter Chretien and published by . This book was released on 1848 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Logical Approach to Discrete Math by : David Gries
Download or read book A Logical Approach to Discrete Math written by David Gries and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here, the authors strive to change the way logic and discrete math are taught in computer science and mathematics: while many books treat logic simply as another topic of study, this one is unique in its willingness to go one step further. The book traets logic as a basic tool which may be applied in essentially every other area.
Book Synopsis The Logical Approach to Syntax by : Edward P. Stabler
Download or read book The Logical Approach to Syntax written by Edward P. Stabler and published by MIT Press. This book was released on 1992 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: By formalizing recent syntactic theories for natural languages Stabler shows how their complexity can be handled without guesswork or oversimplification. By formalizing recent syntactic theories for natural languages in the tradition of Chomsky's Barriers, Stabler shows how their complexity can be handled without guesswork or oversimplification. He introduces logical representations of these theories together with special deductive techniques for exploring their consequences that will provide linguists with a valuable tool for deriving and testing theoretical predictions and for experimenting with alternative formulations of grammatical principles. Stabler's novel approach allows results to be deduced with straightforward calculations and provides a systematic framework for tackling the problem of how speakers can infer the properties of an utterance from principles of the grammar. The special treatment of equality, induction principles, and inclusion of a general method for collecting structures from proofs means that sophisticated linguistic arguments can be carried out in detail, giving a rich perspective to issues in linguistic theory and parsing.
Book Synopsis The Logical Approach to Automatic Sequences by : Jeffrey Shallit
Download or read book The Logical Approach to Automatic Sequences written by Jeffrey Shallit and published by Cambridge University Press. This book was released on 2022-09-29 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn how to automatically prove mathematical statements in combinatorics, sequences, and number theory.
Book Synopsis Logical Methods by : John N. Crossley
Download or read book Logical Methods written by John N. Crossley and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 829 pages. Available in PDF, EPUB and Kindle. Book excerpt: The twenty-six papers in this volume reflect the wide and still expanding range of Anil Nerode's work. A conference on Logical Methods was held in honor of Nerode's sixtieth birthday (4 June 1992) at the Mathematical Sciences Institute, Cornell University, 1-3 June 1992. Some of the conference papers are here, but others are from students, co-workers and other colleagues. The intention of the conference was to look forward, and to see the directions currently being pursued, in the development of work by, or with, Nerode. Here is a brief summary of the contents of this book. We give a retrospective view of Nerode's work. A number of specific areas are readily discerned: recursive equivalence types, recursive algebra and model theory, the theory of Turing degrees and r.e. sets, polynomial-time computability and computer science. Nerode began with automata theory and has also taken a keen interest in the history of mathematics. All these areas are represented. The one area missing is Nerode's applied mathematical work relating to the environment. Kozen's paper builds on Nerode's early work on automata. Recursive equivalence types are covered by Dekker and Barback, the latter using directly a fundamental metatheorem of Nerode. Recursive algebra is treated by Ge & Richards (group representations). Recursive model theory is the subject of papers by Hird, Moses, and Khoussainov & Dadajanov, while a combinatorial problem in recursive model theory is discussed in Cherlin & Martin's paper. Cenzer presents a paper on recursive dynamics.
Book Synopsis Logical Creative Thinking Methods by : Min Ding
Download or read book Logical Creative Thinking Methods written by Min Ding and published by Routledge. This book was released on 2020-04-22 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using a new, systematic framework, this illuminating book turns ideation into a task anybody with sound logic and a determination to learn can do, and do well, by separating the process from the outcome. In a competitive marketplace, all firms must constantly innovate to create sustained shareholder value. The main roadblock in innovation is ideation: the identification of value-creating ideas, often seen as the work of innately creative people. This first-of-its-kind textbook demonstrates that anyone can ideate through specific logical processes that require no creativity when used, but generate valuable and creative outcomes. To help students master and apply these methods, the book is filled with innovation examples across many sectors that can be explained and recreated using a specific LCT method. The book also includes exercises that enable readers to practice applying each method to solve real life innovation challenges. Upper-level undergraduate and postgraduate students of innovation, creativity, and new product development will appreciate the demystification of ideation into a problem that can be solved by applying a series of rigorous, defined methods that can be followed without ambiguity.
Book Synopsis An Essay on Logical Method by : Charles Peter Chretien
Download or read book An Essay on Logical Method written by Charles Peter Chretien and published by . This book was released on 1848 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Logical Trader by : Mark B. Fisher
Download or read book The Logical Trader written by Mark B. Fisher and published by John Wiley & Sons. This book was released on 2002-07-26 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: An in-depth look at the trading system that anyone can use The Logical Trader presents a highly effective, yet simple trading methodology that any trader anywhere can use to trade almost anything. The "ACD Method" developed and refined by Mark Fisher after many years of successful trading, provides price points at which to buy and sell as determined by the opening range of virtually any stock or commodity. This comprehensive guide details a widely used system that is profitably implemented by many computer and floor traders at major New York exchanges. The author's highly accessible teaching style provides readers of The Logical Trader with a full examination of the theory behind the ACD Method and the examples and real-world trading stories involving it. Mark B. Fisher (New York, NY), an independent trader, is founder of MBF Clearing Corp., the largest clearing firm on the NYMEX. Founded in 1988, MBF Clearing has grown from handling under one percent of the volume on the NYMEX to nearly twenty percent of the trades today. A 1982 summa cum laude graduate from the Wharton School of Business, University of Pennsylvania, Fisher also received his master's degree in finance and accounting from Wharton. New technology and the advent of around the clock trading have opened the floodgates to both foreign and domestic markets. Traders need the wisdom of industry veterans and the vision of innovators in today's volatile financial marketplace. The Wiley Trading series features books by traders who have survived the market's ever changing temperament and have prospered-some by reinventing systems, others by getting back to basics. Whether a novice trader, professional or somewhere in-between, these books will provide the advice and strategies needed to prosper today and well into the future.
Book Synopsis A Logical Approach to Philosophy by : David DeVidi
Download or read book A Logical Approach to Philosophy written by David DeVidi and published by Springer Science & Business Media. This book was released on 2006-07-10 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graham Solomon, to whom this collection is dedicated, went into hospital for antibiotic treatment of pneumonia in Oc- ber, 2001. Three days later, on Nov. 1, he died of a massive stroke, at the age of 44. Solomon was well liked by those who got the chance to know him—it was a revelation to ?nd out, when helping to sort out his a?airs after his death, how many “friends” he had whom he had actually never met, as his email included correspondence with philosophers around the world running sometimes to hundreds of messages. He was well respected in the philosophical community more broadly. He was for several years a member of the editorial board for the Western Ontario Series in Philosophy of Science. While he was employed at Wilfrid Laurier University in Waterloo, Ontario, several of us at the University of Wat- loo always regarded our own department as a sort of second academic home for him. We therefore decided that it would be appropriate to hold a memorial conference in his honour. Thanks to the generous ?nancial support of the Humphrey Conference Fund, we were able to do so in May 2003. Many of the papers in this volume were presented at that conf- ence.
Book Synopsis The Character and Logical Method of Political Economy by : John Elliott Cairnes
Download or read book The Character and Logical Method of Political Economy written by John Elliott Cairnes and published by Cosimo, Inc.. This book was released on 2007-11-01 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 1857 discussion of economics is, at its heart, both a scientific and a philosophical inquiry. Modern readers may find it striking that unlike current textbooks on the subject, The Character and Logical Method of Political Economy does not deal heavily with mathematical models and formulas. It does not, in fact, deal with them at all. Cairnes believed that while mathematics could have a place in demonstrating economic truths, it could not discover those truths on its own. Economics is founded upon people, their feelings, and their actions. And that, he believed, could not be further explored by math than it was already being explored by philosophy. The lectures here introduce fundamental principles of economics. At the time of its writing, these principles were still hotly debated, so Cairnes both explains and offers a defense for his particular views on how markets work, what drives production, and what drives individuals to make the decisions that affect wealth. Students of economics and anyone with an interest in the subject will find this a greatly informative read. Irish economist JOHN ELLIOT CAIRNES (1823-1875) is the author of numerous books, including Slave Power (1862) and An Examination into the Principles of Currency (1854).
Book Synopsis Formal Logical Methods for System Security and Correctness by : Orna Grumberg
Download or read book Formal Logical Methods for System Security and Correctness written by Orna Grumberg and published by IOS Press. This book was released on 2008 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers information in the field of proof technology in connection with secure and correct software. This title shows that methods of correct-by-construction program and process synthesis allow a high level programming method more amenable to security and reliability analysis and guarantees.
Book Synopsis A Logical Approach to Obtain Miracles by : Thomas V. Cooper
Download or read book A Logical Approach to Obtain Miracles written by Thomas V. Cooper and published by Xulon Press. This book was released on 2010-06-24 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this readable book, A Logical Approach To Obtain Miracles, Tom Cooper emphasizes the applicable Bible verses which help the seeker progress, from stage to stage, to the goal of achieving miracles. He utilizes an analytical approach together with sketches to help the reader follow the logical progression. Tom's selection of Bible quotations provides a solid foundation on which the reader can depend for a launching pad into the spiritual realm of miracles. His personal experiences with miracles, after having been a Christian without miracles, encouraged Tom to write this book. In short, this book offers a specific approach for achieving miracles based on God's Word, the Bible.
Book Synopsis The Character and Logical Method of Political Economy by : J. E. Cairnes
Download or read book The Character and Logical Method of Political Economy written by J. E. Cairnes and published by BoD – Books on Demand. This book was released on 2024-01-28 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the original, first published in 1875.
Book Synopsis Optimization Methods for Logical Inference by : Vijay Chandru
Download or read book Optimization Methods for Logical Inference written by Vijay Chandru and published by John Wiley & Sons. This book was released on 2011-09-26 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Merging logic and mathematics in deductive inference-an innovative, cutting-edge approach. Optimization methods for logical inference? Absolutely, say Vijay Chandru and John Hooker, two major contributors to this rapidly expanding field. And even though "solving logical inference problems with optimization methods may seem a bit like eating sauerkraut with chopsticks. . . it is the mathematical structure of a problem that determines whether an optimization model can help solve it, not the context in which the problem occurs." Presenting powerful, proven optimization techniques for logic inference problems, Chandru and Hooker show how optimization models can be used not only to solve problems in artificial intelligence and mathematical programming, but also have tremendous application in complex systems in general. They survey most of the recent research from the past decade in logic/optimization interfaces, incorporate some of their own results, and emphasize the types of logic most receptive to optimization methods-propositional logic, first order predicate logic, probabilistic and related logics, logics that combine evidence such as Dempster-Shafer theory, rule systems with confidence factors, and constraint logic programming systems. Requiring no background in logic and clearly explaining all topics from the ground up, Optimization Methods for Logical Inference is an invaluable guide for scientists and students in diverse fields, including operations research, computer science, artificial intelligence, decision support systems, and engineering.
Book Synopsis The Economy of Workshop Manipulation. A Logical Method of Learning Constructive Mechanics. Arranged with Questions, Etc by : John RICHARDS (Mechanical Engineer)
Download or read book The Economy of Workshop Manipulation. A Logical Method of Learning Constructive Mechanics. Arranged with Questions, Etc written by John RICHARDS (Mechanical Engineer) and published by . This book was released on 1876 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Language in Action by : Johan van Benthem
Download or read book Language in Action written by Johan van Benthem and published by MIT Press. This book was released on 1995 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Language in Action demonstrates the viability of mathematical research into the foundations of categorial grammar, a topic at the border between logic and linguistics. Since its initial publication it has become the classic work in the foundations of categorial grammar. A new introduction to this paperback edition updates the open research problems and records relevant results through pointers to the literature. Van Benthem presents the categorial processing of syntax and semantics as a central component in a more general dynamic logic of information flow, in tune with computational developments in artificial intelligence and cognitive science. Using the paradigm of categorial grammar, he describes the substructural logics driving the dynamics of natural language syntax and semantics. This is a general type-theoretic approach that lends itself easily to proof-theoretic and semantic studies in tandem with standard logic. The emphasis is on a broad landscape of substructural categorial logics and their proof-theoretical and semantic peculiarities. This provides a systematic theory for natural language understanding, admitting of significant mathematical results. Moreover, the theory makes possible dynamic interpretations that view natural languages as programming formalisms for various cognitive activities.