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©6-3-01 David Schultz
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The brilliant yet eccentric Prof. Erwin
Schrodinger, one of the founding fathers
of modern quantum mechanics, known for
his wave
collapse equation and "Schrodinger's
Cat" thought-experiment, standing
at the Genius Bar ready to answer your
questions.
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Customer: "Honey, I am going
to ask the Apple Genius something. I'll be right
back. (He walks over to the Genius Bar.) Yes,
I'd like to talk to the "Apple Genius.""
AG: "That would be me, sir."
"And you are (stretching out
his hand for a handshake) ... Mr?"
"Doctor."
"Ah yes, sorry. You are Dr. ...?"
"Smith, Dr. Smith."
"Yes, well, nice to meet you.
Say, I have a question."
"Certainly."
"I was wondering just how fast
these G4s were."
"Well, before I can answer that
question, shall we question the question?"
"Okay ..."
"You said "fast.""
"Yes."
"You know of course that is relative
in an Einstienian universe depending on your
frame of reference."
"I kind of remember something
from college about that ... but I guuuueess
it's a good point. You are smart."
"I am a genius you know."
"Yes, the sign says so."
(Talking very fast.) "Now let
us assume that we have our frames of reference
down and we can in fact can calculate the speed
of the G4 processor. This is fine a cosmological
level. But mind you that at the quantum level
this becomes very difficult due Heisenberg's
Uncertainty Principle, and we know we are
dealing only with probabilities here. In fact,
the very act of measuring the G4's speed may,
if the Copenhagen
interpretation of Quantum Mechanics is true,
effect the outcome. So we have to be careful,
obviously (he looks up and laughs as if he just
told a joke). Note this equation ... (he takes
out a legal pad and writes furiously)."
"Ah ... em, I am sorry, I don't
understand what all this means."
"Okay, forget about this mathematics
for a moment."
"Thank you."
"A thought experiment, shall
we?"
"Sure, a thought ..."
"Okay (interrupting, he becomes
very animated) ... suppose that you are a super
programmer pounding away at your Mac, and a
very fast programmer at that. Say you can type,
oh, 120 words per minute."
"Okay."
"No, let us assume that the G4
processor of which you speak has self-awareness.
Which is not all that unlikely according to
some AI theorists, if Gödel's
Incompleteness Theorem doesn't apply anyway.
If it does then all thought is not calculation
and we are not mere computers ourselves ...
but I digress."
"Okaaaayy ..."
"The question you want to ask
yourself is this, "From the processor's viewpoint,
how fast are you typing?""
"I don't know. How fast am I
typing?"
"Well, let us say that roughly
120 words per minute equals, for the sake of
argument, 480 characters per minute, meaning
the average length of a word is four. That means
you type 8 characters (not words) very second
... just for the sake of argument you understand."
"Okay."
"Now assume that the processor's
self-awareness phenomenological time-frame is
equal to its processing speed, and a floating-point
operation is equal to a character you type."
"Okay."
"This means that the G4, if it
could type, mind you, could type at least billions
of a characters per second. In an idealized
hour you can type 28,800 characters, but the
G4 can type 60 billion in the same time!"
"Makes sense."
"Now, from your frame of reference
the G4 is a very fast typer, is it not?"
"Yes it is."
"But from the G4's perspective
are you a fast typer?"
"No."
"Why!!!" (He grabs the customer
by the shoulders and hangs on tightly.)
"Ah, I don't know, I don't know
... it's hard to talk about!"
"Well, in order for the G4 to
"type" (he makes a quote movement with his fingers)
as "fast" as you, it would have to
slow down, because from its perspective you
are very dumb indeed, in fact almost a pet.
Now, the G4 can type (calculate floating point
operations that is), at least billions of characters
per second. So from its perspective ..." (he
looks intensely at the customer for a moment)
"... you type one character every 5 to 10 years."
"Really?"
"Well, I don't know but it is
some ridiculous number like that. But you get
the point."
"Okay. Well ..."
"And you want to know what's
really cool?"
"What?"
"Suppose we try the same thing
with Pentium."
"Yes ... but I really should
be going, my wife is ah ..."
"It's not as fast. Obviously.
In other words (he begins talking fast again)
you appear to be a faster typer on a slower
machine, and you appear to be a slower typer
on a faster machine; but the funny thing is
that the appearance is the inverse proportion
to the speed of the processor, so you are actually
working quicker than you appear to be. Paradoxical,
ain't it? I love it! Ah ... well, anyway ...
this means that on slower machines like Pentiums
you actually seem to be smarter than you really
are, and on a G4 you appear (from the processor's
point of view, mind you) dumber than you really
are, which means you are smarter than you appear
on a Mac! It follows that you are dumber than
you appear on a Dell. Brilliant! We have just
unmasked the whole thing haven't we?! Think
of it, think of the implications of this man!
Think of the irony the irony!! Think
of deluded masses out there who beleve it looks
smarter to buy a Dell! (He pauses and notices
he is alone ...) Sir? Sir? Thanks for visiting
me. I really get lonely. People seem to be afraid
of me. Oh, the sorrows of misunderstood genius.
Am I the only one ...?"
Wife: "There you are. Did you
get your question answered?"
Customer: "I don't know."
Email Dave
Schultz
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