✦ LIBER ✦
Strongly Amorphous Sets and Dual Dedekind Infinity
✍ Scribed by Martin Goldstern
- Book ID
- 102487558
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 318 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
- If A is strongly amorphous (i.e., all relations on A are definable), then its power set P(A) is dually Dedekind infinite, i. e., every function from P(A) onto P(A) is injective. 2. The class of “inexhaustible” sets is not closed under supersets unless AC holds.