Absolutely. My point is that it's not a finite term though: one man's (or time's) unique is another man's (or time's) run of the mill. The term carries with it some assumptions regarding certainty. The only way to prove that a thing is unique is by searching for something else to equal it - once you have found that, the thing is no longer unique. Hence the paradox.
I think my brain just did a somersault inside my head. Sorry about that...