"The expectation of a given B is just the number of times it occurs divided by the total number of B's in C."

Now what has this to do with PSI?

"Just take the mapping you have been given and count the number of occurrences of each B in C."

This implies that both B and/or C depends on the mapping.

"As a function of B, PSI is determined, but as a function of the element mapping which are used to define B, the appearance of PSI can be quite different."

Not a very precise statement. Either PSI is a function of the mapping or it is not.

"the mappings we use are the only possible mappings"

That is the same as saying that PSI is independent of mapping, which you said in an earlier post, but took back is your latest post.

I cannot understand how you can constantly contradict yourself and claim to have motivated your theory.

wanda