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Birkhäuser - Birkhäuser Mathematics | Visual Reasoning with Diagrams

Visual Reasoning with Diagrams

Moktefi, Amirouche, Shin, Sun-Joo (Eds.)

2013, XV, 200 p. 139 illus., 13 illus. in color.

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  • 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 ​
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.

Content Level » Research

Keywords » diagrammatic reasoning - logic based on diagrams - logical reasoning - visual reasoning

Related subjects » Birkhäuser Mathematics

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