This Element aims to present an outline of mathematics and its history, with particular emphasis on events that shook up its philosophy. It ranges from the discovery of irrational numbers in ancient Greece to the nineteenth- and twentieth-century discoveries on the nature of infinity and proof. Recurring themes are intuition and logic, meaning and existence, and the discrete and the continuous. These themes have evolved under the influence of new mathematical discoveries and the story of their evolution is, to a large extent, the story of philosophy of mathematics.
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: June 2019
- format: Paperback
- isbn: 9781108456234
- dimensions: 230 x 150 x 5 mm
- weight: 0.1kg
- contains: 20 b/w illus.
- availability: Available
Table of Contents
1. Irrational numbers and geometry
2. Infinity in Greek mathematics
3. Imaginary numbers
4. Calculus and infinitesimals
5. Continuous functions and real numbers
6. From non-Euclidean geometry to arithmetic
7. Set theory and its paradoxes
8. Formal systems
9. Unsolvability and incompleteness.
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 ×