The Metaphysics and Mathematics of Arbitrary Objects (Hardcover) (ISBN-13: 9781107039414)

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.

Author: Leon Horsten
ISBN-10: 110703941X
ISBN-13: 9781107039414
Publisher: Cambridge University Press
Language: English
Published: 06/13/2019
Pages: 246
Format: Hardcover
Weight: 1.30lbs
Size: 9.90h x 8.20w x 0.70d

Review Citation(s):
Choice 05/01/2020