[Gen-X-Dad]

explaining creation of complex life from complete randomness

Many do that, mostly in the Creationist camp. It is a strawman.

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I see, so when the DNA molecule pulled itself together from the aminio acids sloshing around in the primordial sea and somehow got jumpstarted to start cranking out single cell organisms, that was deterministic, planned, and not a random event?

[RightWhale]

It need not be a question of design versus randomness. Other possibilities would include a kind of musical analogy of the nature that produces the limited varities of elementary particles, chemical elements, and chemical compounds. That is, only certain combinations are stable enough to stick. When extended to life forms it is called organicism.