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Nov 24, 2010 at 14:51 comment added Neel Krishnaswami I should add that I think your answer is fantastic, though.
Nov 24, 2010 at 14:48 comment added Neel Krishnaswami The poster said his audience would be new graduate students from the sciences and humanities. I would expect them to have an intuitive idea of what a definition is, and to have seen some definitions before in their own studies. If they haven't realized that "what is a valid definition?" could even be an open question, then this is good! The demonstration that it is a nontrivial question which nonetheless has rigorous answers could be an enlightening thing to teach.
Nov 24, 2010 at 11:58 comment added Andrej Bauer You cannot give a definition, that's way too complicated. Ordinary people are not familiar with the idea that something can be defined at will.
Nov 24, 2010 at 11:35 history answered Neel Krishnaswami CC BY-SA 2.5