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Books > Science & Mathematics > Mathematics > Philosophy of mathematics
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Abstract Entities (Paperback)
Loot Price: R1,556
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Abstract Entities (Paperback)
Series: New Problems of Philosophy
Expected to ship within 12 - 17 working days
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Think of a number, any number, or properties like fragility and
humanity. These and other abstract entities are radically different
from concrete entities like electrons and elbows. While concrete
entities are located in space and time, have causes and effects,
and are known through empirical means, abstract entities like
meanings and possibilities are remarkably different. They seem to
be immutable and imperceptible and to exist "outside" of space and
time. This book provides a comprehensive critical assessment of the
problems raised by abstract entities and the debates about
existence, truth, and knowledge that surround them. It sets out the
key issues that inform the metaphysical disagreement between
platonists who accept abstract entities and nominalists who deny
abstract entities exist. Beginning with the essentials of the
platonist-nominalist debate, it explores the key arguments and
issues informing the contemporary debate over abstract reality:
arguments for platonism and their connections to semantics,
science, and metaphysical explanation the abstract-concrete
distinction and views about the nature of abstract reality
epistemological puzzles surrounding our knowledge of mathematical
entities and other abstract entities. arguments for nominalism
premised upon concerns about paradox, parsimony, infinite
regresses, underdetermination, and causal isolation nominalist
options that seek to dispense with abstract entities. Including
chapter summaries, annotated further reading, and a glossary,
Abstract Entities is essential reading for anyone seeking a clear
and authoritative introduction to the problems raised by abstract
entities.
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