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Books > Humanities > Philosophy > Topics in philosophy > Logic
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Inconsistent Geometry (Paperback, New)
Loot Price: R1,049
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Inconsistent Geometry (Paperback, New)
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Total price: R1,069
Discovery Miles: 10 690
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The Theory of Inconsistency has a long lineage, stretching back to
Herakleitos, Hegel and Marx. In the late twentieth-century, it was
placed on a rigorous footing with the discovery of paraconsistent
logic and inconsistent mathematics. Paraconsistent logics, many of
which are now known, are "inconsistency tolerant," that is, they
lack the rule of Boolean logic that a contradiction implies every
proposition. When this constricting rule was seen to be arbitrary,
inconsistent mathematical structures were free to be described.
This book continues the development of inconsistent mathematics by
taking up inconsistent geometry, hitherto largely undeveloped. It
has two main goals. First, various geometrical structures are shown
to deliver models for paraconsistent logics. Second, the
"impossible pictures" of Reutersvaard, Escher, the Penroses and
others are addressed. The idea is to derive inconsistent
mathematical descriptions of the content of impossible pictures, so
as to explain rigorously how they can be impossible and yet
classifiable into several basic types. The book will be of interest
to logicians, mathematicians, philosophers, psychologists,
cognitive scientists, and artists interested in impossible images.
It contains a gallery of previously-unseen coloured images, which
illustrates the possibilities available in representing impossible
geometrical shapes. Chris Mortensen is Emeritus Professor of
Philosophy at the University of Adelaide. He is the author of
Inconsistent Mathrmatics (Kluwer 1995), and many articles in the
Theory of Inconsistency.
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