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What Makes an Equation Beautiful?
New York Times ^

Posted on 10/25/2004 1:46:25 AM PDT by accipter

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Comment #1 Removed by Moderator

To: accipter
A half-dozen of Dr. Crease's respondents, including Richard Harrison of Calgary, Alberta, chose one of the simplest possible equations.

Mr. Harrison wrote: " '1 + 1 = 2' is the fairy tale of mathematics, the first equation I taught my son, the first expression of the miraculous power of the mind to change the real world. I remember my son holding up the index finger, the 'one finger,' of each hand as he learned the expression, and the moment of wonder, perhaps his first of true philosophical wonder, when he saw that the two fingers, separated by his whole body, could be joined in a single concept in his mind."

This would have actually been my choice as well.

2 posted on 10/25/2004 1:56:48 AM PDT by sharktrager (The masses will trade liberty for a more quiet life.)
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To: accipter
You link didn't work for me:

http://www.nytimes.com/2004/10/24/weekinreview/24chan.html

3 posted on 10/25/2004 2:06:25 AM PDT by Joe Miner
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To: accipter

I think the Equator is very beautiful.


4 posted on 10/25/2004 2:09:26 AM PDT by Bandaneira (The Third Temple/House for All Nations/World Peace Centre...Coming Soon...)
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To: accipter

Well, 1+1=2 is okay, I suppose . . . But it's only when you get to 2+2=4 that you begin to generalize! ;-)


5 posted on 10/25/2004 2:12:57 AM PDT by LibWhacker (Got a flu shot shortage? You can thank Kerry's running mate.)
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To: LibWhacker; sharktrager

I '1 + 1' is really '2', then why don't you try solving this...

Three friends were splitting a hotel room. The room cost $30, which means $10 to each. As they were going to their room, the clerk said "Wait, there's a special, and the room is only $25."

The friends were appreciateve and told the clerk to keep 2 dollars as a tip. The clerk then gave back $1 each, so they each paid $9 and the clerk kept $2, which totals $29.

So what happened to the other dollar?


6 posted on 10/25/2004 2:20:17 AM PDT by CarrotAndStick (The articles posted by me needn't necessarily reflect my opinion.)
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To: LibWhacker; All

The first word in my earlier post should read,'If...'.


7 posted on 10/25/2004 2:22:32 AM PDT by CarrotAndStick (The articles posted by me needn't necessarily reflect my opinion.)
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To: CarrotAndStick

It fell down the back of the couch, where all lost change goes.


8 posted on 10/25/2004 2:23:30 AM PDT by Bandaneira (The Third Temple/House for All Nations/World Peace Centre...Coming Soon...)
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To: Bandaneira

Funny. But this problem is a real nice one, and it demonstrates the inefficacies of language when compred to equations when dealing with precise quantities.


9 posted on 10/25/2004 2:26:03 AM PDT by CarrotAndStick (The articles posted by me needn't necessarily reflect my opinion.)
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To: Bandaneira

The solution is obtained if the problem is analysed this way...
The clerk was given $30. The room actually cost $25. He returned $1 to each, which means $3 in total. To this, if you add the tip he kept(or gave to his pocket), you get
$3 + $2 = $5

So, $25 + $5 = $30.


10 posted on 10/25/2004 2:30:25 AM PDT by CarrotAndStick (The articles posted by me needn't necessarily reflect my opinion.)
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To: CarrotAndStick

See! No coins in couch!


11 posted on 10/25/2004 2:31:07 AM PDT by CarrotAndStick (The articles posted by me needn't necessarily reflect my opinion.)
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To: CarrotAndStick

Seen it.


12 posted on 10/25/2004 2:33:02 AM PDT by LibWhacker (Got a flu shot shortage? You can thank Kerry's running mate.)
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To: CarrotAndStick
Thank-you for your elegant solution. Mathematics is very interesting. I strongly believe that there is objective truth in the universe.
13 posted on 10/25/2004 2:33:55 AM PDT by Bandaneira (The Third Temple/House for All Nations/World Peace Centre...Coming Soon...)
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To: accipter
The answer to the headline's question (even if it is rhetorical) is Almighty God.

God is the master mathematician.

I had a physics professor once who was so enamored by himself he had a mirror placed in front of the auditorium so he could look at himself while lecturing.

Once, he spent the entire class filling up 6 blackboards while proving a theorem. At the end, he took a bow (only a few students applauded). At the end of the class, a man came up to him and said:

"Doctor, you should keep in mind that all you did was figure out how God did one small aspect of His entire creation---and God did all of that (pointing the blackboards) simply by speaking."

I was not a Christian at that time in my life, but those words stayed with me.

14 posted on 10/25/2004 2:38:05 AM PDT by SkyPilot
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To: CarrotAndStick
Another way to look at it is to realize that, in effect, they each gave the clerk $9, or $27 total. The clerk pocketed $2. The rest went to the room. Mo money is missing.

So the problem all along is in adding the $2 to the $27, instead of subtracting it.

15 posted on 10/25/2004 2:40:43 AM PDT by LibWhacker (Got a flu shot shortage? You can thank Kerry's running mate.)
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To: LibWhacker
. . . Mo money . . .

No money . . .

16 posted on 10/25/2004 2:42:12 AM PDT by LibWhacker (Got a flu shot shortage? You can thank Kerry's running mate.)
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To: CarrotAndStick

"So what happened to the other dollar?"

John kerry stole it.


17 posted on 10/25/2004 2:44:02 AM PDT by BritishBulldog (New Labour - Putting the "National" back into "Socialist")
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To: Bandaneira; accipter

Don't hope too long.

It would be very nice and predictable if the universe was like a "Leave it to Beaver" episode, but it's not turning out that way.

It has already been proved, in the mathematical sense, there is no set of axioms that does not yield a result that is not provable given the axioms.

And J. S. Bell has proved in physics that almost any casue and effect can happen, indeed his work shows time travel, changing the past, and wishing on a star are all possible.

I grew up, and shall always be, a lover of the hard sciences, but sadly, the universe is not cooperating.


18 posted on 10/25/2004 2:46:01 AM PDT by djf
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To: CarrotAndStick

Yes, they each paid $9. 3 x 9 = 27. The room cost $25 and the tip was $2. That's also $27.

The question as formulated is a non sequitor. You are not adding $2 to 3 X $9, there is no logical reason to do so. What they individually paid and what the clerk kept are not on the same side of the equation. They are on opposite sides:

3 x 9 = 25 + 2


19 posted on 10/25/2004 2:52:39 AM PDT by blandbutmarvellous
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To: djf
If any cause and effect can happen do you believe that human violence and abuse of power can be eradicated from the affairs of mankind and that that is indeed our mission ?

Cynics are fun to talk to...
20 posted on 10/25/2004 2:53:08 AM PDT by Bandaneira (The Third Temple/House for All Nations/World Peace Centre...Coming Soon...)
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