Uranus is the first of the Trans-Saturnian planets. Saturn was considered to be a planet of limitation in part because it was the farthest planet visible with the naked eye, and for a long while was considered to be the farthest planet, making it literally an astrological limit. Following the discovery of the first planet, Uranus, however, these limitations were shattered.
Saturn represents the outer limit of consciousness, and Uranus, Neptune, and Pluto all represents the awakening of a higher sense of consciousness, and so work on a different level than the preceding planets; a higher plane of awareness.
Uranus is the ruler of Aquarius, and itself embodies the ideals of all of the Trans-Saturnian planets. Uranus is the liberator, whose consciousness is finally awakening. Unsurprisingly, Uranus is associated with our ability to break free of the limits and restrictions imposed upon us by Saturn. Uranus is also associated with change and inventiveness, such as that divinely-inspired creativity associated with Aquarius. Uranus is a rebellious planet, breaking free of its bonds, doing things that no other planet would ever think of doing.
Uranus also represents individuality, as distinct and separate from the masses. This individuality that Uranus represents encompasses the uniqueness of every individual; what makes everyone special, everyone different, and what makes every single person break from the rigid order associated with Saturn and its associated sign, Capricorn.