Paperback. 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. This book develops a new theory of arbitrary entities and connects it to issues and debates in metaphysics and contemporary philosophy of mathematics. It investigates the relation between particular and arbitrary objects, and between particular and arbitrary systems of objects. These concepts are then applied to problems in philosophy of mathematics. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

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Detalles bibliogr�ficos

T�tulo

The Metaphysics and Mathematics of Arbitrary Objects (Paperback)

Editor

Cambridge University Press, Cambridge

Fecha de publicaci�n

2021

Idioma

Ingl�s

ISBN 10

1108706592

ISBN 13

9781108706599

Encuadernaci�n

Paperback

Estado

new

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Sinopsis

Develops and defends a new metaphysical and logical theory of arbitrary objects that will reinvigorate the philosophy of mathematics.

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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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The Nile Group Pty Ltd
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