|
The Foundations of Mathematics in the Theory of Sets (Encyclopedia of Mathematics and its Applications)
|
| List Price: | £83.00 |
| Price: | £78.85 & eligible for FREE Super Saver Delivery on orders over £5. Details |
Availability: Usually dispatched within 24 hours
Dispatched from and sold by Amazon.co.uk
Product Description
This book presents a unified approach to the foundations of mathematics in the theory of sets, covering both conventional and finitary (constructive) mathematics. It is based on a philosophical, historical and mathematical analysis of the relation between the concepts of ‘natural number’ and ‘set’. This leads to an investigation of the logic of quantification over the universe of sets and a discussion of its role in second order logic, as well as in the analysis of proof by induction and definition by recursion. The subject matter of the book falls on the borderline between philosophy and mathematics, and should appeal to both philosophers and mathematicians with an interest in the foundations of mathematics.
Product Details
- Amazon Sales Rank: #1375263 in Books
- Published on: 2001-03-22
- Original language: English
- Number of items: 1
- Binding: Hardcover
- 444 pages
Editorial Reviews
Review
' … this book is thought-provoking … distinctive approach to the twin issues of mathematical ontology and mathematical foundations'. Australian Journal of Philosophy
