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Sep 22 at 0:22 comment added Guozhen Shen @AsafKaragila I got it. Thanks!
Sep 21 at 18:45 comment added Asaf Karagila @GuozhenShen: The @ notifications only work if you actually type in the user name, not the last name. That doesn't do anything.
Sep 21 at 18:44 comment added Asaf Karagila @Elliot: If you can do it once, you can do it forever. That's kind of the point in my paper.
Sep 21 at 17:43 comment added Guozhen Shen @Ryan-Smith The sets that cannot map onto $\omega$ are called power Dedekind finite sets by Blass and me and are called weakly Dedekind finite sets by some others.
Sep 21 at 17:31 comment added Guozhen Shen @Glazer I think this is right.
Sep 21 at 17:27 comment added Guozhen Shen @Ryan-Smith Dually Dedekind finite sets are those sets which cannot map onto their proper supersets.
Sep 21 at 16:04 comment added Calliope Ryan-Smith @ElliotGlazer If $X$ is dually Dedekind-finite then already $\omega$ already cannot be the image of $X$ by definition.
Sep 21 at 3:58 comment added Elliot Glazer Has anyone checked if every set can be the image of a dually Dedekind-finite set?
Sep 19 at 16:43 history answered Asaf Karagila CC BY-SA 4.0