Knowledge and the Philosophy of Number
What Numbers Are and How They Are Known
Series: Mind, Meaning and Metaphysics;
- Publisher's listprice GBP 31.99
-
16 190 Ft (15 419 Ft + 5% VAT)
The price is estimated because at the time of ordering we do not know what conversion rates will apply to HUF / product currency when the book arrives. In case HUF is weaker, the price increases slightly, in case HUF is stronger, the price goes lower slightly.
- Discount 20% (cc. 3 238 Ft off)
- Discounted price 12 952 Ft (12 335 Ft + 5% VAT)
16 190 Ft
Availability
printed on demand
Why don't you give exact delivery time?
Delivery time is estimated on our previous experiences. We give estimations only, because we order from outside Hungary, and the delivery time mainly depends on how quickly the publisher supplies the book. Faster or slower deliveries both happen, but we do our best to supply as quickly as possible.
Product details:
- Publisher Bloomsbury Academic
- Date of Publication 26 August 2021
- Number of Volumes Paperback
- ISBN 9781350277960
- Binding Paperback
- No. of pages216 pages
- Size 234x156 mm
- Weight 313 g
- Language English 232
Categories
Long description:
If numbers were objects, how could there be human knowledge of number? Numbers are not physical objects: must we conclude that we have a mysterious power of perceiving the abstract realm? Or should we instead conclude that numbers are fictions?
This book argues that numbers are not objects: they are magnitude properties. Properties are not fictions and we certainly have scientific knowledge of them. Much is already known about magnitude properties such as inertial mass and electric charge, and much continues to be discovered. The book says the same is true of numbers.
In the theory of magnitudes, the categorial distinction between quantity and individual is of central importance, for magnitudes are properties of quantities, not properties of individuals. Quantity entails divisibility, so the logic of quantity needs mereology, the a priori logic of part and whole. The three species of quantity are pluralities, continua and series, and the book presents three variants of mereology, one for each species of quantity.
Given Euclid's axioms of equality, it is possible without the use of set theory to deduce the axioms of the natural, real and ordinal numbers from the respective mereologies of pluralities, continua and series. Knowledge and the Philosophy of Number carries out these deductions, arriving at a metaphysics of number that makes room for our a priori knowledge of mathematical reality.
Table of Contents:
Preface
Introduction
1. Properties
2. Frege's Theory of Concepts
3. The Logic of Quantity
4. Mereology
5. The Homomorphism Theorem
6. The Natural Numbers
7. Multiplication
8. Ratio
9. Geometry
10. The Ordinals
Notes
References
Index
Knowledge and the Philosophy of Number: What Numbers Are and How They Are Known
Subcribe now and receive a favourable price.
Subscribe
16 190 HUF
