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Jan 18, 2021 at 16:22 comment added Elliot Glazer It's also worth mentioning that, while some amount of choice is needed to prove that every ill-founded ordering has a descending sequence, this argument requires no choice since $A + B$ has an induced well-ordering from $A$ and $B,$ so this descending sequence can be canonically constructed.
Jan 18, 2021 at 14:57 comment added Alessandro Codenotti Those kind of unexpected applications of Ramsey's theorem are really beautiful!
Jan 18, 2021 at 14:10 comment added Nik Weaver You are welcome! This version of Ramsey's theorem is worth remembering, it comes in handy every now and then.
Jan 18, 2021 at 13:58 comment added abx Great, thanks! Glad to see that it is not completely trivial — at least for a non-expert...
Jan 18, 2021 at 13:57 vote accept abx
Jan 18, 2021 at 13:43 comment added Nik Weaver Trust me, you've beaten me by more than 10 seconds many times ...
Jan 18, 2021 at 13:36 comment added Wojowu Beaten by 10 seconds!
Jan 18, 2021 at 13:36 history answered Nik Weaver CC BY-SA 4.0