Visual Reasoning with Diagrams
Editors: Moktefi, Amirouche, Shin, Sun-Joo (Eds.)
Free Preview- Investigates the logical aspects of visualization in quantum field theory and gravity
- Addresses the increasingly important topic of visualizations in our complex modern world
- Of interest for mathematicians, logicians, philosophers, cognitive and computer scientists
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- About this book
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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.
- Table of contents (10 chapters)
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What is a Logical Diagram?
Pages 1-18
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The Geometry of Diagrams and the Logic of Syllogisms
Pages 19-31
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A Diagrammatic Calculus of Syllogisms
Pages 33-53
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Beyond Syllogisms: Carroll’s (Marked) Quadriliteral Diagram
Pages 55-71
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A Diagrammatic Bridge Between Standard and Non-standard Logics: The Numerical Segment
Pages 73-81
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Table of contents (10 chapters)
- Download Preface 1 PDF (169.4 KB)
- Download Sample pages 2 PDF (212.1 KB)
- Download Table of contents PDF (42.9 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Visual Reasoning with Diagrams
- Editors
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- Amirouche Moktefi
- Sun-Joo Shin
- Series Title
- Studies in Universal Logic
- Copyright
- 2013
- Publisher
- Birkhäuser Basel
- Copyright Holder
- Springer Basel
- eBook ISBN
- 978-3-0348-0600-8
- DOI
- 10.1007/978-3-0348-0600-8
- Softcover ISBN
- 978-3-0348-0599-5
- Series ISSN
- 2297-0282
- Edition Number
- 1
- Number of Pages
- XV, 200
- Number of Illustrations
- 126 b/w illustrations, 13 illustrations in colour
- Topics
