Other available formats:
Looking for an examination copy?
If you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact email@example.com providing details of the course you are teaching.
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.Read more
- Provides valuable new explorations of an understudied area of mathematical theory
- Investigates particular and arbitrary systems of objects in relation to contemporary problems in philosophy of mathematics
- Engages with logic, metaphysics, structuralism, and statistics, making the book relevant for researchers in multiple fields
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: August 2019
- format: Hardback
- isbn: 9781107039414
- length: 246 pages
- dimensions: 254 x 178 x 18 mm
- weight: 0.6kg
- contains: 15 b/w illus.
- availability: In stock
Table of Contents
2. Metaphysics of mathematics
3. Arbitrary objects
4. Mathematical objects as arbitrary objects
5. Structure in mathematics
6. Mathematical structures
7. Kit fine
8. Generic systems and mathematical structuralism
9. Reasoning about generic w-sequences
10. Probability and random variables
11. Directions for future research.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email firstname.lastname@example.orgRegister Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×