Percy writes:
If you really think Shannon's definition is simple, or that it is insufficiently nuanced to represent genetic information, then I suggest you read his paper.
Now you're talking about
genetic information. Doesn't it matter how the genes are decoded? In your claim you was talking about information in general.
I know something about telecommunication, compression techniques, and so on, of which Shannon's information type is the very basis.
I doubt the use of it in the context of information contained by a biological system. For example, the informative value of this post isn't easy to calculate. You want to count the different words I use? Or the amount of letters? So, what the nucleotides are encoding does matter, where the alleles encode for does matter, the function of decoded proteins does matter.
Lacks rigour, that's because I first want to define the terms in comprehensive way. You both are calculating things, without thinking about the context. I look at your maths the same way you did towards ea.
I'm going to read Shannon's paper anyway, because the original papers are most often easy (and even nice) to read. He should have said something about the range of his type of information.