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2014-09-17 18:51 GMT+02:00 John Hind <john.hind@zen.co.uk>:
> it is stretching the meaning of language to argue that "sets of the
> form {1..0}" includes the empty set! Surely it is just an invalid
> (meaningless) construction (or arguably the set {1})?

It is common practice in mathematics to interpret {1,2,3,...,n}
as not implying that 1,2,3 are all actually elements of the set
when n<3, and as denoting the empty set when n=0.