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Books > Science & Mathematics > Mathematics > Philosophy of mathematics
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The Metaphysics and Mathematics of Arbitrary Objects (Hardcover)
Loot Price: R2,581
Discovery Miles 25 810
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The Metaphysics and Mathematics of Arbitrary Objects (Hardcover)
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Total price: R2,601
Discovery Miles: 26 010
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Building on the seminal work of Kit Fine in the 1980s, Leon Horsten
here develops a new theory of arbitrary entities. He connects this
theory to issues and debates in metaphysics, logic, and
contemporary philosophy of mathematics, investigating the relation
between specific and arbitrary objects and between specific and
arbitrary systems of objects. His book shows how this innovative
theory is highly applicable to problems in the philosophy of
arithmetic, and explores in particular how arbitrary objects can
engage with the nineteenth-century concept of variable mathematical
quantities, how they are relevant for debates around mathematical
structuralism, and how they can help our understanding of the
concept of random variables in statistics. This fully worked
through theory will open up new avenues within philosophy of
mathematics, bringing in the work of other philosophers such as
Saul Kripke, and providing new insights into the development of the
foundations of mathematics from the eighteenth century to the
present day.
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