How do the Creationist (design) and Evolutionary (chance) viewpoints compare?
Because of clashes between science and religion in terms of explaining the origins of the universe and life, Evolution and Creationism are almost entirely exclusive concepts. While some Creationists accept evolution as a tool of God's work, most proponents seek to establish an alternate theory of creation based entirely in religion instead of science.
The basic difference between the two theories rests in the objective existance of a divine being; evolution doesn't consider it, while creationism requires it. Accepting a divine being allows a great deal of license in the timeframe of creation, while rejecting it keeps all evolutionary movement constrained to accepted science.
If you look at Earth from a creationist standpoint, it is a model of deliberate design, with every part accounted and nothing left out; a Created world is one that was formed from a plan at a thought, and its entire meaning rests in the Creator.
If you look at Earth from an evolutionary standpoint, it is a model of chance on an infinite canvas; in the trillions of planets in the universe, this one contained just the right conditions for organic life to grow. An Evolved world is one that has adapted through time to serve the life that evolved on its surface.
Because of the rift between science and religion, there is little discussion on these points; most debates are simply rehashes of existing arguments with no progressive movement. However, since our understanding of the universe is largely a scientific one, it is possible to accept evolution as evidence-based while accepting religion on faith.