Figuring It Out - Logic Diagrams

The book begins with an extensive survey of the history of logic diagrams, including looking at possible diagrams from Aristotle, the development of both linear and closed figure diagrams by Leibniz, Lambert, Euler, Venn's new system, Peirce's Existential Graphs, and Frege's two-dimensional notation as a kind of logic diagram system. During most of the 20^th century, there was little regard for efforts to construct logic diagrams. However, since the 1980s there has been an increasing interest in such diagrams. Ever larger numbers of philosophers, logicians, mathematicians, computational scientists, and cognitive scientists have turned their attention to building, analyzing, using, or exploring in other ways systems of logic diagrams. The system offered here makes use of line segments and points and it enjoys a number of important advantages: it is simple, natural, and both expressively and inferentially powerful. It can be used to analyze syllogisms (including those involving relational terms) and arguments involving unanalyzed statements. Understanding such a system can shed valuable light on how ordinary people naturally reason.

About the author

George Englebretsen, Bishop¿s University, Sherbrooke, Canada.

Product details

• Authors: George Englebretsen
• Assisted by: José Martin Castro-Manzano (Editor), José Roberto Pacheco-Montes (Editor)
• Publisher: De Gruyter
• Languages: English
• Product format: Hardback
• Released: 01.01.2019
• EAN: 9783110621631
• ISBN: 978-3-11-062163-1
• No. of pages: 220
• Dimensions: 163 mm x 19 mm x 237 mm
• Weight: 478 g
• Illustrations: 145 b/w ill., 20 b/w tbl.
• Series: Philosophical Analysis; Philosophische Analyse /Philosophical Analysis; Philosophische Analyse /Philosophical Analysis; Philosophische Analyse / Philosophical Analysis; Philosophical Analysis; ISSN; Philosophical Analysis, 78
• Subjects: Humanities, art, music > Philosophy > 20th and 21st centuries; Non-fiction book > Philosophy, religion > Philosophy: antiquity to present day