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portada Figuring It Out: Logic Diagrams
Type
Physical Book
Publisher
Language
English
Pages
234
Format
Paperback
Dimensions
23.4x15.6x1.4 cm
Weight
0.37 kg.
ISBN13
9783110763355

Figuring It Out: Logic Diagrams

George Englebretsen (Author) · José Martin Castro-Manzano (Contributions by) · José Roberto Pacheco-Montes (Contributions by) · de Gruyter · Paperback

Figuring It Out: Logic Diagrams - Englebretsen, George ; Castro-Manzano, José Martin ; Pacheco-Montes, José Roberto

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Synopsis "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 20th 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.

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