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Mar 15, 2015 at 21:32 comment added Iian Smythe For those not in the field, I think this is most dramatically stated in its equivalent form: a non-trivial elementary embedding $j:V\to V$. For those who live in $L$, a measurable cardinal would also be really nice if it existed, I suppose.
Oct 6, 2014 at 15:16 comment added Hagen von Eitzen The world is his choice, isn't it?
Sep 30, 2014 at 19:02 comment added Toby Bartels (Like my answer from intuitionistic mathematics.)
Sep 30, 2014 at 18:47 comment added Toby Bartels If Emil's field of math is a world with AC, then this example qualifies.
Sep 29, 2014 at 17:10 comment added Emil Jeřábek Nah, thank you, but so far I’m content to live in the world that is given to me. Anyway, the question asks for “non-existing objects you have come across”, not objects non-existing in every imaginable world.
Sep 29, 2014 at 15:50 comment added Asaf Karagila You only have one world? Poor guy, do you need a few? I have spares. :-)
Sep 29, 2014 at 15:49 comment added Emil Jeřábek My world is an AC world.
Sep 29, 2014 at 15:19 comment added Asaf Karagila We don't know that they don't exist yet! They might exist in $\lnot\sf AC$ worlds.
Sep 29, 2014 at 10:38 review Low quality posts
Sep 29, 2014 at 11:04
S Sep 29, 2014 at 10:16 history answered Emil Jeřábek CC BY-SA 3.0
S Sep 29, 2014 at 10:16 history made wiki Post Made Community Wiki by Emil Jeřábek