Have the Julia developers considered the effects of setting Base.min()=Inf and Base.max()=-Inf. This is common in real analysis since it plays nice with set theory, i.e.
A ⊆ B => max(A) ≤ max(B) A ⊆ B => min(A) ≥ min(B) Thus since the empty set ø is a subset of every set, the max of it should be smaller than the maximum of any nonempty set, and the min of it should be larger than the minimum of any nonempty set.
