Visual reasoning with diagrams / Amirouche Moktefi, Sun-Joo Shin, editors.
| Other author | Moktefi, Amirouche. |
| Other author | Shin, Sun-Joo. |
| Format | Electronic |
| Publication Info | Heidleberg : Birkhauser, [2013] |
| Description | xv, 200 pages : illustrations ; 24 cm. |
| Supplemental Content | Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2013 English International |
| Supplemental Content | Full text available from Springer Books |
| Subjects |
| Series | Studies in universal logic Studies in universal logic. ^A1286014 |
| Contents | 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. |
| Summary | 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. |
| General note | Includes bibliographical references. |
| Bibliography note | Includes bibliographical references. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2013944050 |
| ISBN | 3034805993 |
| ISBN | 9783034805995 |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | ✔ Available |