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Strongly Amorphous Sets and Dual Dedekind Infinity |
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| Authors: | Martin Goldstern |
| Abstract: | 1. 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. |
| Keywords: | Dedekind infinite set Strongly amorphous set Inexhaustible set |