Perhaps it would be helpful, at this point, to distinguish between an argument from design and an argument from telos.
It would seem that an argument from design is based first on
complexity. The classic example of the argument from design is the watchmaker.
Watches require a maker.
The world is like a watch.
Therefore the world requires a maker.
The argument from design sees complexity as the proof of design (intelligence in design). It proceeds by means of an analogy to reach its conclusion.
The teleological argument assumes that the universe is
ordered. Certain unintelligent things are ordered towards an end. Because they always act towards this end it isn’t haphazardly but designedly that they act towards the end. But, only intelligence can order things towards an end. As the scholastics might say,
therefore etc.
The argument from ends is much different.
Complexity, at least in-itself, is not a factor. There is nothing about
complexity which illuminates St. Thomas’s example of the arrow, only directedness, which is like the orderedness of creation. Note that this analogy is illuminative, not argumentative. Thus this argument is deductive, not probable.
For this reason alone the teleological argument is much stronger, as even valid inductive arguments with true premises can be false, unlike deductive arguments.
As a further critique, I would say that the argument from design risks making a God of the gaps, as can be seen in many contemporary renditions of the argument from design (for instance, in intelligent design theory in regards to evolution). If only natural things which are unexplained are put forth as evidence of design, then surely as things become explained our proof of God will dwindle.
Thomas’s argument has always been far more sophisticated than the design arguments, which seem to have rested on a mechanistic deistic universe anyway. However, there are problems with Thomas’s argument: namely that modern and contemporary philosophy eschew formal and final causes. How I attempt to solve that problem, well, I have to learn some more before I comment on that.
-Rob