EAN: 9783110763355

FIGURING IT OUT - GEORGE ENGLEBRETSEN KARTONIER...

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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