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Timeline for Uncountable orderings

Current License: CC BY-SA 3.0

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Oct 15, 2012 at 20:19 vote accept Jacopo Belbo
Oct 15, 2012 at 19:58 comment added Asaf Karagila Very nice construction with the singular $\omega_1$. Another option is to use quasi-amorphous ($\aleph_1$-amorphous) sets, i.e. every subset is countable or co-countable. It is consistent that there is a linearly ordered $\aleph_1$-amorphous set, and in such linear order when cutting at a particular point we have that below it there are only countably many (if not, inverse the order of course).
Oct 15, 2012 at 19:51 history edited Joel David Hamkins CC BY-SA 3.0
added 230 characters in body; added 1 characters in body; added 30 characters in body
Oct 15, 2012 at 19:44 history edited Joel David Hamkins CC BY-SA 3.0
AC required
Oct 15, 2012 at 19:25 history answered Joel David Hamkins CC BY-SA 3.0