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Books > Science & Mathematics > Mathematics > Philosophy of mathematics
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Conceptions of Set and the Foundations of Mathematics (Paperback)
Loot Price: R965
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Conceptions of Set and the Foundations of Mathematics (Paperback)
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Sets are central to mathematics and its foundations, but what are
they? In this book Luca Incurvati provides a detailed examination
of all the major conceptions of set and discusses their virtues and
shortcomings, as well as introducing the fundamentals of the
alternative set theories with which these conceptions are
associated. He shows that the conceptual landscape includes not
only the naive and iterative conceptions but also the limitation of
size conception, the definite conception, the stratified conception
and the graph conception. In addition, he presents a novel,
minimalist account of the iterative conception which does not
require the existence of a relation of metaphysical dependence
between a set and its members. His book will be of interest to
researchers and advanced students in logic and the philosophy of
mathematics.
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