عنوان

The metaphysics and mathematics of arbitrary objects /

1108601774

113960029X

9781108601771

9781139600293

110703941X

1108706592

9781107039414

9781108706599

The metaphysics and mathematics of arbitrary objects /

[Book]

Leon Horsten, University of Bristol

New York, NY :

Cambridge University Press,

2019

©2019

1 online resource (xvii, 231 pages) :

illustrations

Includes bibliographical references and index

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

Proquest Ebook Central

5797331

Metaphysics and mathematics of arbitrary objects.

9781107039414

Abstraction.

Logic, Symbolic and mathematical.

Mathematical recreations.

Mathematics-- Philosophy.

Metaphysics.

Probabilities-- Philosophy.

Random variables.

Variables (Mathematics)

Abstraction.

Logic, Symbolic and mathematical.

Mathematical recreations.

MATHEMATICS-- Essays.

Mathematics-- Philosophy.

MATHEMATICS-- Pre-Calculus.

MATHEMATICS-- Reference.

Metaphysics.

Probabilities-- Philosophy.

Random variables.

Variables (Mathematics)

MAT-- 023000

MAT-- 026000

MAT-- 039000

Horsten, Leon

20200822145648.0

pn

[Book]

Y