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Bibliographic Details

Title: The Metaphysics and Mathematics of Arbitrary Objects
Publisher: Cambridge University Press
Publication Date: 2019
Language: English
ISBN 10: 110703941X
ISBN 13: 9781107039414
Binding: Hardcover
Condition: Very Good

About this title

Synopsis

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.

About the Author

Leon Horsten is Professor of Philosophy at the University of Bristol. His publications include The Tarskian Turn: Deflationism and Axiomatic Truth (2011) and G�del's Disjunction: The Scope and Limits of Mathematical Knowledge (co-edited with Philip Welch, 2016).

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