**Radio Programs, Set Theory
and Individuals**

5/27/08

We can use the base 2 log above
to develop a model that would allow callers to radio programs like *Talk of
the Nation* to voice their opinions in large numbers. This model doesn't utilize the database theory idea of *one-to-many*, as I’ve described, but its converse, that is *many-to-one*. I
must point out for my model to be realized, the radio show’s producers would
have to do more preparation to accommodate their mass of callers. It
would take an entire week before the broadcast airs for the show’s
producers to set-up what my model will illustrate. I don’t feel this is asking too much of them. After all, the program I reference to create
my model claims to be the *Talk of the Nation*, thus it should attempt to
really allow its multitude of callers to be heard. Right? To use Elizabethean English, Lest it become merely a cheap stage for thine own ends. And thou know not what that may be.

We will assume the following sets H, A, X and R.

H (host and staff) = 20

A (radio audience) = 20 log_{2}
= 1,048,576. (Possible audience size)

X (questions)=3

H broadcasts to A, X questions (for our example we will use 3)

Now we have H○AàX That is, H relates or maps to A with X (which we will replace with 3 for the 3 questions)

X then responds with R.

XßR, means R maps, through the relation A○H. This means A responds to questions X with R responses and is again a mapping of sets.

We can now summary the process as a relation of the 4 sets, H, A, X and R.

H○A=X: Hosts asks the Audience questions X

A○H=R: Audiences answers the Hosts with responses R.

These relations are also a 2x2 symmetric matrix with X and R being their resolutions. In fact, the entire set structure of these relationships could be constructed with matrix alegbra methods, but again the limitations of the IE brower makes showing this difficult without special math software.

Having developed the set structure we can now apply these relations and show how our talk show could truly represent the Nation.

H○A=X, can take the form of 3 questions as follows:

H asks for instance

B) Why did Hillary Clinton’s campaign for Presidential nominee fail?

C) Will she run as an independent?

D) Will she become Barack Obama’s vice-presidential running mate?

So, H (A)= B + C + Dà H○A=X

And A responses with

E) She was arrogant, or she lacked funds, or she miscalculated her constituency, or she lied during the campaign. Any response can be given and arbitrary limit set then counted.

F) Yes or No, plus explanations, again this response can be tabulated.

G)Will she run as an independent? Same as F.

So, A (H)= E+F+Gà A○H=R

Here we have a relationship that
can be implemented. That is, the
audience can be questioned (via email), responses counted, categorized and
finally, output sets can be analyzed and the hosts of the program can choose
any number or listeners to speak for the groups of like-minded
respondents. That is once E, F and G
have been tabulated, the hosts can call some respondents in each group and
choose one to speak for all. Rather
like a representative government in political science, huh? Also, notice that the *One* still has
omnipotence here, that is, the hosts can pick and choose from the sets of
responses, whom will and whom won’t *Talk to the Nation*.

Go back to first section Sets, Radio programs and Individuals