عنوان

Visual reasoning with diagrams

3034806000 (electronic bk.)

9783034806008 (electronic bk.)

9783034805995

b433088

Visual reasoning with diagrams

[Book]

Amirouch Moktefi, Sun-Joo Shin, editors

Basel :

Birkhäuser,

2013

1 online resource (xv, 200 p.) :

ill. (some col.)

Studies in universal logic

Includes bibliographical references

What is a logical diagram? / Catherine Legg -- The geometry of diagrams and the logic of syllogisms / Richard Bosley -- A diagrammatic calculus of syllogisms / Ruggero Pagnan -- Beyond syllogisms: Carroll's (marked) quadriliteral diagram / Amirouche Moktefi -- A diagrammatic bridge between standard and non-standard logics: the numerical segment / Ferdinando Cavaliere -- Diagrammatic reasoning with classes and relationships / Jorgen Fischer Nilsson -- On the completeness of spider diagrams augmented with constands / Gem Stapleton...[et al.] -- A practice-based approach to diagrams / Valeria Giardino -- Figures, formulae, and functors / Zach Weber -- Representation of graphs in diagrams of graph theory / Mitsuko Wate-Mizuno

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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

Visual Reasoning with Diagrams

9783034805995

OhioLINK electronic book center (Online)

SpringerLink

Logic diagrams

Philosophy

Reasoning

PHI-- 011000

Moktefi, Amirouche

Shin, Sun-Joo

Ohio Library and Information Network

20130909123656.0

[Book]

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