What's the fallacy in this statement-
Since books are Intelligently designed and Complicated, therefore it has a Creator.
DNA is Intelligently designed and Complicated, therefore it has a creator.
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I see several potential problems here. Which apply depends on how the argument is to be interpreted. In particular, it’s not clear what “intelligently designed” is supposed to mean here.
Typical definitions of “intelligently designed,” such as the one mentioned previously, are basically equivalent to “having a creator.” Obviously we can’t assume that DNA was designed by something with intelligence, and then conclude that this implies intelligent design.
Thus there could potentially be circular reasoning at play here.
I suspect this is the real issue. There is, I think an implicit confusion between what we might call “intelligently-designed” (meaning designed by an intelligent creature, as the book might be) and “intelligently designed” (possibly meaning having a good or efficient design).
DNA is manifestly designed in an efficient or “smart” manner, but this “design” was not necessarily done by an intelligent entity.
There’s also a possible equivocation between “a creator” (someone or even some process that made an object) and a Creator (a deity of some sort), but this is much less likely.
As mentioned in the comments on the question, even though each argument (for books and DNA) is presented as a syllogism by itself, it could be that the real, implicit argument is one by analogy. That is, books are complicated and designed in a manner that appears to indicate intelligence, therefore DNA is as well. This might be considered a sort of hasty generalization fallacy (properly speaking, not a formal logical fallacy).
In general terms, things to consider:
Book has a known author, DNA does not.
is there a factual correlation between DNA and books. In essence, these are two separate things.
For example, comparing apples to oranges. Does that really make sense? In the context of what fruit is the best then it might. That being said, there are more features dissimilar than similar.