Hi Lorraine,
I'll try to show you how I see things from a purely physical point of view, without computers involved.
Imagine that you and I both own not quite adjacent castles, and there is a forest full of dangerous beasts that surrounds and separates our castles. We can't send our messengers on foot or by wing because the beasts always end up eating them for lunch. So, we devise a communication system by which we yell sentences at each other from across the forest, such as "All is quiet on the western front" and "Danger, monsters attacking" and "Can I borrow a cup of sugar?". But it's really quite tiresome to yell these long sentences, so we decide to instead use a shuttered blue lantern and a shuttered red lantern to send our sentences -- one blue pulse for "All is quiet...", one red then one blue pulse for "Danger..." and two red pulses for "Can I borrow...".
The average information content per symbol (sentence) is S = ln(3)/ln(2). What one considers as data is subjective. It could be casted as bits, or it could be the entire data of light pulse in terms of frequencies and the Mie scattering and etc, etc, or it could be the sound waves version from yelling. Regardless of the data, the information content per symbol is the same -- the point is that the symbols here are entire sentences, and this is regardless of how they are transmitted (just as long as the method of transmission grants some way of distinguishing between the distinct sentences).
In any case, I understand where you're coming from regarding composites, but from my computer science studies I have come to know a class as a composite data type, not a composite information type. Object oriented programming is an application of category theory. I do agree that complex life forms utilize complex data and large information, insomuch that it is precisely the complexity (depth and breadth of the "compositeness") of the data that grants the possibility of a combinatorial explosion of value combinations from which a large amount of information can emerge. And that's only with just one datum. Add in many more data, and the combinations explode even further. Make those various combinations manifest over time, and you get information. The key word is time. Things need to change over time in order to get from state to state.
You asked earlier what the information content and data content of a single "Yes" was. I said 1 bit of data, 0 bits of information (as per Shannon's theory). I believed that what you were meaning was that there is 1 bit of data, and 1 bit of information -- they were the same in this case. If this is what you are indeed saying, then I am willing to rename "information content per symbol" to "ideal information content per symbol" and rename "data content per symbol" to "manifest information content per symbol" (the ideal and manifest content are different for almost all cases, so at least this distinction is unquestionable), but this leaves no room for the word data anywhere. Those who study data compression (source coding) would likely not be so easily convinced to rename their field of study.
I'm sorry to hear that we cannot come to an agreement. you've been extremely patient with me, and I appreciate that.
- Shawn