eBook - PDF

The Metaphysics and Mathematics of Arbitrary Objects

Name: The Metaphysics and Mathematics of Arbitrary Objects
ISBN: 9781108601771

Leon Horsten,

English
PDF
Available on iOS & Android

eBook - PDF

The Metaphysics and Mathematics of Arbitrary Objects

Leon Horsten,

About this book

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. Hisbook 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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Yes, you can access The Metaphysics and Mathematics of Arbitrary Objects by Leon Horsten in PDF and/or ePUB format, as well as other popular books in Philosophy & Philosophy & Ethics in Science. We have over one million books available in our catalogue for you to explore.