The axiom of extensionality and the Empty Set

Three problems:

If I say 'bring me a set of cutlery' and the last set of cutlery has already been taken, does that make the set 'empty' because of the axiom of extensionality?

If I say 'bring me the set of no objects' would the fact that you cannot bring me any such set mean that there IS such a set and that by the axiom of extensionality 'it' is 'empty'?

Would the axiom of extensionality ensure that the set 'the set of unforsen movments' must gradually lose its letters until it becomes 'empty', i.e. until it becomes 'the set ' ?
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Relevant Pages

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  • Re: The axiom of extensionality and the Empty Set
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