Taken individually, every human being is unique, no matter of any resemblance to others. However, once we leave this point of reference, uniqueness can be perverted quite easily: the best example is presented by marketing strategies: be unique, just the same as our other 5 million clients. From a descriptive aspect of the human being, uniqueness becomes a statistic.
The point: uniqueness must always become one's conscious state, otherwise one may end up rallying strictly to external influence that would ultimately 'steal' this dear quality and turn the individual into a 'one of the many'. Just the same as in mathematics, uniqueness must be proven: by thoughts, by actions. This is an aspect of being free and a clear expression of the free will.