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Mar 18, 2011 at 20:23 comment added Qfwfq Wait a minute, isn't $\mathrm{Cat}$ -the 2-category of small categories- a proper class? ;P
Feb 21, 2010 at 5:31 comment added Simon Rose So I suppose then that we don't really need "Pet Axiom 1) Your favorite pet is a set."
Feb 21, 2010 at 1:26 comment added Qiaochu Yuan A universe where {Cat, Dog, Monkey} isn't a set isn't very useful, is it? In all seriousness, you can interpret them as strings, hence as the sets in ZF corresponding to the numbers that make up their ASCII representations. But again, the "implementation details" are totally unimportant.
Feb 21, 2010 at 0:50 comment added Simon Rose Unless I misunderstand something, {Cat, Dog, Monkey} isn't a set, is it? I suppose it depends on what you mean by the category of all sets, but I'm pretty sure cats don't show up in ZF...
Feb 19, 2010 at 19:08 history answered Qiaochu Yuan CC BY-SA 2.5