Darren New wrote:
> Invisible wrote:
>>>> It is impossible to decide on an element of an infinite set using a 
>>>> finite number of questions.
>>>
>>> Hmm, that's not entirely true.
>>>
>>> Presumably it *is* however true for a set that isn't computable though.
>>
>> Damnit, where's Darren?? I'm sure he knows...
> 
> 20 questions doesn't pick out elements of a set. It picks out 
> categories.  "Is it a zebra?" "Yes." End of game. Tens of thousands of 
> possible zebras, along with an infinite number of possible-to-imagine 
> zebras, all qualify as "the" correct answer.
> 

Categories can be elements.  After all, you can have a set of 
categories.  The only difference between "zebra" and "Betty-the-Zebra at 
our local zoo" is the level of specificity.  The question answerer could 
choose either in this game.

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