This thread is not going to be about actual design in the universe or earth or biology.
I'm simply, want to look at the concept of irreducible complexity as an abstract concept. That is, does it rationally hold as a possible means of detecting design (1). And secondly how do we apply it properly to reality (2). Careful with (2), I don't want this to be an actual discussion about design in reality, just purely abstract. So I said to reality, but what I really mean, is give examples of concrete design that it would apply to, but, aren't real things.
After this thread is over, then perhaps, we can make a thread about real life application of it and look for examples.
As an abstract it does not hold up for a rational explanation for design. At best it could argue that that those parts that cannot be reduced must have always existed and that is all.
The term is similar with the
teleological argument
for God.
Saying there are things that cannot be reduced further is not equivalent to saying it is designed. The latter is a leap of faith not a rational argument to prove design.
I looked up and it seems to be connected with the following definitions
Michael Behe definitions
1 "... a single system which is composed of several well-matched, interacting parts that contribute to the basic function, and where the removal of any one of the parts causes the system to effectively cease functioning."
Ok then what we have are the most basic parts. This does not prove design only the smallest elements.
2. "An irreducibly complex evolutionary pathway is one that contains one or more unselected steps (that is, one or more necessary-but-unselected mutations). The degree of irreducible complexity is the number of unselected steps in the pathway."
Oh no now we have the connection to evolution except there is absolutely no evidence at all that this has any meaning at all with design.
William A. Dembski
"A system performing a given basic function is irreducibly complex if it includes a set of well-matched, mutually interacting, nonarbitrarily individuated parts such that each part in the set is indispensable to maintaining the system's basic, and therefore original, function. The set of these indispensable parts is known as the irreducible core of the system."
Again a statement of the most basic part and cannot in any way prove design. So these definitions fail the argument.