Amirouche Moktefi, Sun-Joo Shin.
Visual Reasoning with Diagrams.
Birkhauser. 2013
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 2oth 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.