Detecting design or intent in nature

[bennyboy]

In order for two sets to be disjoint, they must not share any elements. If two sets share elements, they are not disjoint. Replication, selection, and change are common elements of Heywood systems and biological evolution. Biological evolution is not disjointed from Heywood systems.

You are still doing goofy stuff with logical inheritance. The different evolutionary "sets" you are talking about do share elements-- but only elements which define their parent. Here's what you're doing:

All "things made by man" are part of the Big Set called "things." Therefore, the more "things made by man" I have, the more evidence I have that all "things" are "things made by man." I can then insist that an asteroid flying through space, the origin of which I am ignorant, is more and more likely a "thing made by man" based on the number of things people have made. The problem is that it can't-- because the thing in question (an asteroid) predates the mechanism which you are trying to attribute to its creation (human intellect).

You could say it is true that all things observed to be created by man are made by intellect. However, to define the context properly, you have to say that they are made by "organic lifeforms, on Earth, within the span of human history." Evolution, however, does not fit that fully-defined set definition, and does not apply. And the reason should be apparent: evolution predates all of the organic lifeforms known to be capable of "implementing" systems, evolutionary or otherwise.