Logical Reasoning with Diagrams

Logical Reasoning with Diagrams

Author: Gerard Allwein

Publisher: Oxford University Press, USA

Published: 1996

Total Pages: 287

ISBN-13: 0195104277

DOWNLOAD EBOOK

Information technology has lead to an increasing need to present information visually. This volume addresses the logical aspects of the visualization of information. Properties of diagrams, charts and maps are explored and their use in problem solving and


Logical Reasoning with Diagrams & Sentences

Logical Reasoning with Diagrams & Sentences

Author: Dave Barker-Plummer

Publisher: Center for the Study of Language and Information Publica Tion

Published: 2017

Total Pages: 0

ISBN-13: 9781575869513

DOWNLOAD EBOOK

The Logical Reasoning with Diagrams and Sentences courseware package teaches the principles of analytical reasoning and proof construction using a carefully crafted combination of textbook, desktop, and online materials. This package is sure to be an essential resource in a range of courses incorporating logical reasoning, including formal linguistics, philosophy, mathematics, and computer science. Unlike traditional formal treatments of reasoning, this package uses both graphical and sentential representations to reflect common situations in everyday reasoning where information is expressed in many forms, such as finding your way to a location using a map and an address. It also teaches students how to construct and check the logical validity of a variety of proofs--of consequence and non-consequence, consistency and inconsistency, and independence--using an intuitive proof system which extends standard proof treatments with sentential, graphical, and heterogeneous inference rules, allowing students to focus on proof content rather than syntactic structure. Building upon the widely used Tarski's World and Language, Proof and Logic courseware packages, Logical Reasoning with Diagrams and Sentences contains more than three hundred exercises, most of which can be assessed by the Grade Grinder online assessment service; is supported by an extensive website through which students and instructors can access online video lectures by the authors; and allows instructors to create their own exercises and assess their students' work. Logical Reasoning with Diagrams and Sentences is an expanded revision of the Hyperproof courseware package.


Logical Reasoning

Logical Reasoning

Author: Bradley Harris Dowden

Publisher: Bradley Dowden

Published: 1993

Total Pages: 516

ISBN-13: 9780534176884

DOWNLOAD EBOOK

This book is designed to engage students' interest and promote their writing abilities while teaching them to think critically and creatively. Dowden takes an activist stance on critical thinking, asking students to create and revise arguments rather than simply recognizing and criticizing them. His book emphasizes inductive reasoning and the analysis of individual claims in the beginning, leaving deductive arguments for consideration later in the course.


Hyperproof

Hyperproof

Author: Jon Barwise

Publisher: Center for the Study of Language and Information Publications

Published: 1995-01-01

Total Pages: 273

ISBN-13: 9781881526117

DOWNLOAD EBOOK

Hyperproof is a system for learning the principles of analytical reasoning and proof construction, consisting of a text and a Macintosh software program. Unlike traditional treatments of first-order logic, Hyperproof combines graphical and sentential information, presenting a set of logical rules for integrating these different forms of information. This strategy allows students to focus on the information content of proofs, rather than the syntactic structure of sentences. Using Hyperproof the student learns to construct proofs of both consequence and nonconsequence using an intuitive proof system that extends the standard set of sentential rules to incorporate information represented graphically. Hyperproof is compatible with various natural-deduction-style proof systems, including the system used in the authors' Language of First-Order Logic.


Visual Reasoning with Diagrams

Visual Reasoning with Diagrams

Author: Amirouche Moktefi

Publisher: Springer Science & Business Media

Published: 2013-07-08

Total Pages: 210

ISBN-13: 3034806000

DOWNLOAD EBOOK

Logic, the discipline that explores valid reasoning, does not need to be limited to a specific form of representation but should include any form as long as it allows us to draw sound conclusions from given information. The use of diagrams has a long but unequal history in logic: The golden age of diagrammatic logic of the 19th century thanks to Euler and Venn diagrams was followed by the early 20th century's symbolization of modern logic by Frege and Russell. Recently, we have been witnessing a revival of interest in diagrams from various disciplines - mathematics, logic, philosophy, cognitive science, and computer science. This book aims to provide a space for this newly debated topic - the logical status of diagrams - in order to advance the goal of universal logic by exploring common and/or unique features of visual reasoning.


Diagrammatic Representation and Inference

Diagrammatic Representation and Inference

Author: Mateja Jamnik

Publisher: Springer

Published: 2016-07-25

Total Pages: 306

ISBN-13: 3319423339

DOWNLOAD EBOOK

This book constitutes the refereed proceedings of the 9th InternationalConference on the Theory and Application of Diagrams, Diagrams 2016,held in Philadelphia, PA, USA, in August 2016. The 12 revised full papers and 11 short papers presented together with 5 posters were carefully reviewed and selected from 48 submissions. The papers are organized in the following topical sections: cognitive aspects of diagrams; logic and diagrams; Euler and Venn diagrams; diagrams and education; design principles for diagrams; diagrams layout.


The Logical Status of Diagrams

The Logical Status of Diagrams

Author: Sun-Joo Shin

Publisher: Cambridge University Press

Published: 1994

Total Pages: 211

ISBN-13: 052146157X

DOWNLOAD EBOOK

The validity of the transformation rules ensures that the correct application of the rules will not lead to fallacies. The book concludes with a discussion of some fundamental differences between graphical systems and linguistic systems.