Circular analyses of philosophical, linguistic, or computational
phenomena have been attacked on the assumption that they conflict
with mathematical rigour. Barwise and Moss have undertaken to prove
this assumption false. This volume is concerned with extending the
modelling capabilities of set theory to provide a uniform treatment
of circular phenomena. As a means of guiding the reader through the
concrete examples of the theory, the authors have included many
exercises and solutions: these exercises range in difficulty and
ultimately stimulate the reader to come up with new results.
Vicious Circles is intended for use by researchers who want to use
hypersets; although some experience in mathematics is necessary,
the book is accessible to people with widely differing backgrounds
and interests.
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