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(3) Language variation is emphatically not "free". In other words, it is not randomly occurring or
linguistically redundant and cannot be idealized away from the linguist's central concern. In fact,
it correlates in a complex but nevertheless structured way with factors outside language, speaker
variables like age, sex, social class, etc., and situational variables like the degree of formality, the
relationship with the addressee and the like. However, these non-linguistic correlates need to be
analyzed rigourously and not left to the impressionism of traditional social stereotypes.
8) In order to obtain a Boolean algebra, it is not necessary to consider all subsets of a set. A
collection T of the subsets of a set H is said to be an algebra of sets, if the addition can be always
carried out in it, if H itself belongs to T and for a set A its complementary set ⎯A = H – A belongs
to T as well; i.e. if the following conditions are satisfied:
1. H ∈ T.
2. A ∈ T, B ∈ T implies A + B ∈ T.
3. A ∈ T implies ⎯A ∈ T.
The collection of all subjects of a set H is said to be a complete algebra of sets. A complete
algebra of sets is always a Boolean algebra. Indeed, it is easy to see that the validity of AB ∈ T
follows from A ∈ T and B ∈ T by the conditions 1, 2 and 3, since AB =
⎯
A + B. the above 14
axioms are evidently fulfilled.
9) FADE IN:
Through the window of a moving vehicle, we see a series of small, middle-class houses. This
could be any suburban street in America.
INT. CITY BUS - DAY
A boy is seated near the back of a moving bus. This is TODD BOWDEN, 15, as All-
American as they come. He stares out at the other passengers indifferently. Then something
catches his eye.
EXT. RESIDENTIAL STREET - SANTO DONATO - DAY
TITLE: SANTO DONATO, CA FEBRUARY 1984
Todd pedals his bike down a quiet street and pulls up to an unassuming bungalow set far back
on its lot. This is the kind of house one would hardly notice driving through the peaceful
suburban community of Santo Donato. Todd gets off his bike and heads up the front steps. On
the way, he bends down to pick up the L.A. Times.
Two signs, in laminated plastic, are secured neatly above the door bell. The first reads:
"ARTHUR DENKER". The second reads: "NO SOLICITORS, NO PEDDLERS, NO
SALESMEN".
Todd RINGS the bell. Nothing. He looks at his watch. It is twelve past ten. He RINGS
again, this time longer. Still nothing. Finally, Todd leans on the tiny button, staring at his watch
as he does so. After more than a minute of SOLID RINGING, a voice is heard from within.
DUSSANDER (O.S.)
All right. All right. I'm coming. Let it go!
Todd lets go as a chain behind the heavy door starts to rattle. Then it opens. An old man
stands behind the screen. He is KURT DUSSANDER, a.k.a. Arthur Denker. Mid-seventies.
Standing there in his bathrobe and slippers, a cigarette smashed in his mouth, he looks like a
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