Logical Reasoning with Diagrams
Logical Reasoning with Diagrams

Author: Gerard Allwein

Publisher: Oxford University Press

Published: 1996-06-13

Total Pages: 287

ISBN-13: 0195355865

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One effect of information technology is the increasing need to present information visually. The trend raises intriguing questions. What is the logical status of reasoning that employs visualization? What are the cognitive advantages and pitfalls of this reasoning? What kinds of tools can be developed to aid in the use of visual representation? This newest volume on the Studies in Logic and Computation series addresses the logical aspects of the visualization of information. The authors of these specially commissioned papers explore the properties of diagrams, charts, and maps, and their use in problem solving and teaching basic reasoning skills. As computers make visual representations more commonplace, it is important for professionals, researchers and students in computer science, philosophy, and logic to develop an understanding of these tools; this book can clarify the relationship between visuals and information.

Introduction to Languages, Machines and Logic
Introduction to Languages, Machines and Logic

Author: Alan P. Parkes

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 352

ISBN-13: 144710143X

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A well-written and accessible introduction to the most important features of formal languages and automata theory. It focuses on the key concepts, illustrating potentially intimidating material through diagrams and pictorial representations, and this edition includes new and expanded coverage of topics such as: reduction and simplification of material on Turing machines; complexity and O notation; propositional logic and first order predicate logic. Aimed primarily at computer scientists rather than mathematicians, algorithms and proofs are presented informally through examples, and there are numerous exercises (many with solutions) and an extensive glossary.

The Logic of Machines and Structures
The Logic of Machines and Structures

Author: Paul Sandori

Publisher: Courier Dover Publications

Published: 2016-09-21

Total Pages: 193

ISBN-13: 0486807002

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This study focuses on statics' original simplicity as an exercise in logic, without resort to extensive mathematical detail. Discussions of significant historical discoveries offer an enjoyable, useful view of the field. 1982 edition.

Image and Logic
Image and Logic

Author: Peter Galison

Publisher: University of Chicago Press

Published: 1997-10

Total Pages: 1002

ISBN-13: 9780226279176

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Engages with the impact of modern technology on experimental physicists. This study reveals how the increasing scale and complexity of apparatus has distanced physicists from the very science which drew them into experimenting, and has fragmented microphysics into different technical traditions.

Mathematical Logic
Mathematical Logic

Author: Stephen Cole Kleene

Publisher: Courier Corporation

Published: 2013-04-22

Total Pages: 436

ISBN-13: 0486317072

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Contents include an elementary but thorough overview of mathematical logic of 1st order; formal number theory; surveys of the work by Church, Turing, and others, including Gödel's completeness theorem, Gentzen's theorem, more.

Mathematics and Logic
Mathematics and Logic

Author: Mark Kac

Publisher: Courier Corporation

Published: 1992-01-01

Total Pages: 189

ISBN-13: 0486670856

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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."

Learning and Soft Computing
Learning and Soft Computing

Author: Vojislav Kecman

Publisher: MIT Press

Published: 2001

Total Pages: 556

ISBN-13: 9780262112550

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This textbook provides a thorough introduction to the field of learning from experimental data and soft computing. Support vector machines (SVM) and neural networks (NN) are the mathematical structures, or models, that underlie learning, while fuzzy logic systems (FLS) enable us to embed structured human knowledge into workable algorithms. The book assumes that it is not only useful, but necessary, to treat SVM, NN, and FLS as parts of a connected whole. Throughout, the theory and algorithms are illustrated by practical examples, as well as by problem sets and simulated experiments. This approach enables the reader to develop SVM, NN, and FLS in addition to understanding them. The book also presents three case studies: on NN-based control, financial time series analysis, and computer graphics. A solutions manual and all of the MATLAB programs needed for the simulated experiments are available.