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Inhaltsangabe
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.
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Reseña del editor
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.
Biografía del autor
Leon Horsten is Professor of Philosophy at the University of Bristol. His publications include The Tarskian Turn: Deflationism and Axiomatic Truth (2011) and Gödel's Disjunction: The Scope and Limits of Mathematical Knowledge (co-edited with Philip Welch, 2016).
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- VerlagCambridge University Press
- Erscheinungsdatum2019
- ISBN 10 110703941X
- ISBN 13 9781107039414
- EinbandTapa dura
- SpracheEnglisch
- Anzahl der Seiten246
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The Metaphysics and Mathematics of Arbitrary Objects
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Cambridge University Press, 2019
ISBN 10: 110703941X
ISBN 13: 9781107039414
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The Metaphysics and Mathematics of Arbitrary Objects
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Cambridge University Press, USA, 2019
ISBN 10: 110703941X
ISBN 13: 9781107039414
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Develops and defends a new metaphysical and logical theory of arbitrary objects that will reinvigorate the philosophy of mathematics. Artikel-Nr. 9781107039414
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