Jerry, Clark, All,
I think, your posts have made the problem of the term "average" clear. Am I right with understanding it like: "Average" usually suggests a completed statistical calculation, and statistics is mathematics, therefore exact logic. But in our context, "average" is not meant for an exact, but an "imperfect" general, so in our case it is about fuzzy logic with the remainder (and so the general) being not something clearly defined or known, but being some sort of suggestion of collusion/agreement, due to change, and itself subject of the communication- not articulated with terms, but conveyed by their connotations ? Connotations though donot stick to terms, but rather are a function of how much the communication partners, esp. the recipient, know about the history of terms, or whatever they have had internalized along with them each time they have heard, read, or thought them before.
Best,
Helmut
 
28. Juni 2016 um 21:07 Uhr
"Jerry Rhee" <jerryr...@gmail.com> wrote:
 
Hi all,
 
How about entering into inquiry of a situation, a particular situation.  That situation will have a set of communications associated with it.  
But that situation is only one situation of many possible situations. 
And what we want to know is how it will play out in the next instance.
That would involve knowing the generals of the situation.
The general of the situation is to know what would be expected in the next situation
The next situation is not known.  It may be a next situation that copies the present situation perfectly.  That would be an average with no remainder.
But most likely, that next situation will be not exactly the same, that is, with remainder.
Therefore, what we seek is to know an imperfect general, some "average".
But there is no consonance between the "average" and the next situation.
So, to know the general is also to know the particular; and the general is not the particular but is defined by particulars.  It's not an average but has quality of average.
 
hth,
Jerry R
 
On Tue, Jun 28, 2016 at 1:48 PM, Clark Goble <cl...@lextek.com> wrote:
 
On Jun 24, 2016, at 3:30 PM, Helmut Raulien <h.raul...@gmx.de> wrote:
 
I understand it like "mean", "average" and "normal" are necessary traits of any predicate, and there is no predicate but within communication, and "mean" is the common aspect of the communicated subject, "average" is the agreed-about aspect of it, and "normal" is the standardising aspect. 
 
Sorry for the delay answering. Got busy.
 
While I get the idea your after, I’m not sure it’s really that correct. If we’re talking about predicates (rhemes?) then there’s a set of communications (broadly defined) tied to it. (Both in terms of past and future) There’s a certain shape to those communications that I think exceeds terms like average or mode. Which is why I originally objected to the term. Average often reduces something fairly complex to a single value conceptually which is misleading.
 
That said, as I argued, I still think there’s something to the word. Just not in any statistical sense ultimately even by analogy.
 
To demonstrate what I’m talking about think a graph like the following. (Obviously meant just as analogy - obviously communication of a predicate can’t be reduced to a graph like this) 
 


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