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Old 10-14-2011, 01:33 PM   #21
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Old 10-14-2011, 01:56 PM   #22
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Quote:
Originally Posted by Joe Perez View Post
I can't remember the precise name for it, but #2 is essentially a variation on Zeno's dichotomy paradox.
I was thinking it was the limit of something... but it's definitely like Zeno's paradox of motion (that you mention above). Though I studied that in philosophy--not math--class.

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Also, I had to cross-post this from the other forum:

third line asserts additional information from nowhere. if x(x-1)= 0 and x already was given as 0, then x-1 must equal -1.
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Old 10-14-2011, 02:16 PM   #23
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I was thinking it was the limit of something... but it's definitely like Zeno's paradox of motion (that you mention above).
Yeah, the dichotomy paradox is the same as the paradox of motion.

Explanation for those not versed in Zeno:

Imagine that you are playing American football. You have received the kickoff while standing precisely on the goal line, and you wish to run the ball across the field for a touchdown, a distance of precisely 100 yards. (We will assume that you are an infinately good player, and can easily avoid the defense while traveling in a straight line towards their goal.)

The paradox is that in order to travel any distance, you must first travel half that distance.

So you run half the distance, and you are now on the 50 yard line. From that point, you run half the remaining distance, and you are now on the 25 yard line. From there, you run half the remaining distance and find yourself at the 12.5 yard line.

You will continue in this manner, travelling smaller and smaller distances each time (eg: from the one-eighth-inch line to the one-sixteenth-inch line) however you will never actually reach the goal itself. And as you stand there pondering this, you will be tackled.

Ergo, philosophers are shitty football players.



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third line asserts additional information from nowhere. if x(x-1)= 0 and x already was given as 0, then x-1 must equal -1.
I know, it's just kind of funny in the same way as the proof that women are evil because time is money.

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Old 10-14-2011, 02:40 PM   #24
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here is the cruelest nerd joke and it's dedicated to Joe and his sig:

I've actually personally seen the MS3 schematics with my own eyes.

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Old 10-14-2011, 03:13 PM   #25
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That's just mean.
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Old 10-14-2011, 04:57 PM   #26
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A 747 was flying along and was full of Polish people. As they were going past some beautiful landmarks, the pilot came over the intercom and instructed all who were interested in seeing the landmark to look out the right side of the plane. Many passengers did so, and the plane promply crashed. Why?

Too many poles in the right hand plane.
Keep 'em coming!

I didn't know that ME's studied control theory.
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Old 10-14-2011, 05:33 PM   #27
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Keep 'em coming!

I didn't know that ME's studied control theory.
absolutely, it's a required course. we build all sorts of neat upside down pendulum things.
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