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tinfoilhat
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question about the set [a,a)
If S=[a,a) Can such a set exist? It implies that a is in S and not in S, which doesn't make sense, but it seems a problem I'm trying to do requires it to be considered empty.
The question is:
Let In = [an,bn) where
In+1 < In for all natural numbers n. [< denotes subset]
Give an example of those In for which the intersection of In (for all n) is empty.
I can't see any other way to construct an empty set.
If S=[a,a) Can such a set exist? It implies that a is in S and not in S, which doesn't make sense, but it seems a problem I'm trying to do requires it to be considered empty.
The question is:
Let In = [an,bn) where
In+1 < In for all natural numbers n. [< denotes subset]
Give an example of those In for which the intersection of In (for all n) is empty.
I can't see any other way to construct an empty set.
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