Logic Logical Methods
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Logical Methods
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Author : Roger Antonsen
language : en
Publisher: Springer
Release Date : 2021-02-11
Logical Methods written by Roger Antonsen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-11 with Computers categories.
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.
A Logical Approach To Discrete Math
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Author : David Gries
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
A Logical Approach To Discrete Math written by David Gries and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Computers categories.
This text attempts to change the way we teach logic to beginning students. Instead of teaching logic as a subject in isolation, we regard it as a basic tool and show how to use it. We strive to give students a skill in the propo sitional and predicate calculi and then to exercise that skill thoroughly in applications that arise in computer science and discrete mathematics. We are not logicians, but programming methodologists, and this text reflects that perspective. We are among the first generation of scientists who are more interested in using logic than in studying it. With this text, we hope to empower further generations of computer scientists and math ematicians to become serious users of logic. Logic is the glue Logic is the glue that binds together methods of reasoning, in all domains. The traditional proof methods -for example, proof by assumption, con tradiction, mutual implication, and induction- have their basis in formal logic. Thus, whether proofs are to be presented formally or informally, a study of logic can provide understanding.
Logic Logical Methods
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Author : Christoph Sigwart
language : en
Publisher:
Release Date : 1895
Logic Logical Methods written by Christoph Sigwart and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1895 with Logic categories.
Logical Form
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Author : Andrea Iacona
language : en
Publisher: Springer
Release Date : 2018-01-28
Logical Form written by Andrea Iacona and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-28 with Philosophy categories.
Logical form has always been a prime concern for philosophers belonging to the analytic tradition. For at least one century, the study of logical form has been widely adopted as a method of investigation, relying on its capacity to reveal the structure of thoughts or the constitution of facts. This book focuses on the very idea of logical form, which is directly relevant to any principled reflection on that method. Its central thesis is that there is no such thing as a correct answer to the question of what is logical form: two significantly different notions of logical form are needed to fulfill two major theoretical roles that pertain respectively to logic and to semantics. This thesis has a negative and a positive side. The negative side is that a deeply rooted presumption about logical form turns out to be overly optimistic: there is no unique notion of logical form that can play both roles. The positive side is that the distinction between two notions of logical form, once properly spelled out, sheds light on some fundamental issues concerning the relation between logic and language.
Android Forensics
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Author : Andrew Hoog
language : en
Publisher: Elsevier
Release Date : 2011-06-15
Android Forensics written by Andrew Hoog and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-15 with Computers categories.
"Android Forensics" covers an open source mobile device platform based on the Linux 2.6 kernel and managed by the Open Handset Alliance. This book provides a thorough review of the Android platform including supported hardware devices, the structure of the Android development project, and implementation of core services (wireless communication, data storage, and other low-level functions).
Proof Methods For Modal And Intuitionistic Logics
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Author : M. Fitting
language : en
Publisher: Springer Science & Business Media
Release Date : 1983-04-30
Proof Methods For Modal And Intuitionistic Logics written by M. Fitting and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-04-30 with Mathematics categories.
"Necessity is the mother of invention. " Part I: What is in this book - details. There are several different types of formal proof procedures that logicians have invented. The ones we consider are: 1) tableau systems, 2) Gentzen sequent calculi, 3) natural deduction systems, and 4) axiom systems. We present proof procedures of each of these types for the most common normal modal logics: S5, S4, B, T, D, K, K4, D4, KB, DB, and also G, the logic that has become important in applications of modal logic to the proof theory of Peano arithmetic. Further, we present a similar variety of proof procedures for an even larger number of regular, non-normal modal logics (many introduced by Lemmon). We also consider some quasi-regular logics, including S2 and S3. Virtually all of these proof procedures are studied in both propositional and first-order versions (generally with and without the Barcan formula). Finally, we present the full variety of proof methods for Intuitionistic logic (and of course Classical logic too). We actually give two quite different kinds of tableau systems for the logics we consider, two kinds of Gentzen sequent calculi, and two kinds of natural deduction systems. Each of the two tableau systems has its own uses; each provides us with different information about the logics involved. They complement each other more than they overlap. Of the two Gentzen systems, one is of the conventional sort, common in the literature.
Logical Options
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Author : John L. Bell
language : en
Publisher: Broadview Press
Release Date : 2001-03-30
Logical Options written by John L. Bell and has been published by Broadview Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-03-30 with Philosophy categories.
Logical Options introduces the extensions and alternatives to classical logic which are most discussed in the philosophical literature: many-sorted logic, second-order logic, modal logics, intuitionistic logic, three-valued logic, fuzzy logic, and free logic. Each logic is introduced with a brief description of some aspect of its philosophical significance, and wherever possible semantic and proof methods are employed to facilitate comparison of the various systems. The book is designed to be useful for philosophy students and professional philosophers who have learned some classical first-order logic and would like to learn about other logics important to their philosophical work.
Ewa Or Owska On Relational Methods In Logic And Computer Science
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Author : Joanna Golińska-Pilarek
language : en
Publisher: Springer
Release Date : 2018-12-08
Ewa Or Owska On Relational Methods In Logic And Computer Science written by Joanna Golińska-Pilarek and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-08 with Philosophy categories.
This book is a tribute to Professor Ewa Orłowska, a Polish logician who was celebrating the 60th year of her scientific career in 2017. It offers a collection of contributed papers by different authors and covers the most important areas of her research. Prof. Orłowska made significant contributions to many fields of logic, such as proof theory, algebraic methods in logic and knowledge representation, and her work has been published in 3 monographs and over 100 articles in internationally acclaimed journals and conference proceedings. The book also includes Prof. Orłowska’s autobiography, bibliography and a trialogue between her and the editors of the volume, as well as contributors' biographical notes, and is suitable for scholars and students of logic who are interested in understanding more about Prof. Orłowska’s work.
Methods And Applications Of Mathematical Logic
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Author : Walter Alexandre Carnielli
language : en
Publisher: American Mathematical Soc.
Release Date : 1988
Methods And Applications Of Mathematical Logic written by Walter Alexandre Carnielli and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.
Constitutes the proceedings of the Seventh Latin American Symposium on Mathematical Logic, held July 29-August 2, 1985, at the University of Campinas in Brazil. This book offers an introduction to the active lines of research in mathematical logic and emphasizes the connections to other fields - philosophy, computer science and probability theory.