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Strongly Amorphous Sets and Dual Dedekind Infinity
Mathematical Logic Quarterly 43 (1):39-44 (1997)
Abstract
1. If A is strongly amorphous , then its power set P is dually Dedekind infinite, i. e., every function from P onto P is injective. 2. The class of “inexhaustible” sets is not closed under supersets unless AC holdsOther Versions
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Citations of this work
Relations between some cardinals in the absence of the axiom of choice.Lorenz Halbeisen & Saharon Shelah - 2001 - Bulletin of Symbolic Logic 7 (2):237-261.
Finiteness classes arising from Ramsey-theoretic statements in set theory without choice.Joshua Brot, Mengyang Cao & David Fernández-Bretón - 2021 - Annals of Pure and Applied Logic 172 (6):102961.
Dedekind-Finite Cardinals Having Countable Partitions.Supakun Panasawatwong & John Kenneth Truss - forthcoming - Journal of Symbolic Logic:1-16.
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