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Topic: A Point on Understanding
Replies: 66   Last Post: Jan 6, 2013 11:07 PM

 Messages: [ Previous | Next ]
 Joe Niederberger Posts: 4,657 Registered: 10/12/08
Re: A Point on Understanding
Posted: Jan 1, 2013 8:18 PM

PT III says:
>To provide the reader with some context so that he or she can see Keith Devlin meant, to see that he is not confused at all, here is part of what Keith Devlin actually wrote:
>"What Exactly is Multiplication?"
>http://www.maa.org/devlin/devlin_01_11.html

This is pretty funny and I can't pass it up. Following the above ref. to one of Keithe's columns, we find:
Keith D. says:
- --------------------------------------------------------
The MIRA fallacy becomes very apparent when you consider my second example, where I take an elastic band of length 7.5 inches and stretch it by a factor of 3.8. The final length of the band is 28.5 inches. But what are the units? What goes after the number 3.8 in the calculation

[3.8 - - -] x [7.5 INCHES] = 28.5 INCHES ?

The answer is nothing. It has no units. In this case, the 3.8 is a dimensionless scaling factor.
- ---------------------------------------------------------

He is writing far too fast here to consider his words. If no units are involved ("it has no units") then stretched inches of rubber band and un-stretched must be exactly the same to any commercial buyer. Same with puffed rice and uncooked rice. An inch is an inch. A cup is a cup. If I sell you 1000 yards stretched inches of rubber band you have no recourse if you expected 1000 yards UN-stretched. The very "nature of multiplication" declares you have no case!

Very funny indeed.

Cheers,
Joe N

Date Subject Author
12/15/12 Robert Hansen
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12/27/12 Paul A. Tanner III
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12/27/12 Robert Hansen
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12/28/12 Paul A. Tanner III
12/28/12 kirby urner
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12/30/12 kirby urner
12/30/12 Louis Talman
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12/30/12 kirby urner
12/30/12 Paul A. Tanner III
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12/27/12 Domenico Rosa
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12/27/12 Richard Strausz
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12/30/12 Joe Niederberger
12/30/12 Paul A. Tanner III
12/30/12 Robert Hansen
12/30/12 Joe Niederberger
12/31/12 Robert Hansen
1/2/13 kirby urner
12/30/12 Joe Niederberger
1/1/13 Paul A. Tanner III
12/31/12 GS Chandy
12/31/12 Robert Hansen
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1/1/13 Robert Hansen
1/1/13 GS Chandy
1/1/13 GS Chandy
1/1/13 GS Chandy
1/1/13 Robert Hansen
1/1/13 Haim
1/1/13 Joe Niederberger
1/1/13 Joe Niederberger
1/1/13 Paul A. Tanner III
1/1/13 Louis Talman
1/2/13 Paul A. Tanner III
1/1/13 Joe Niederberger
1/2/13 Paul A. Tanner III
1/2/13 GS Chandy
1/2/13 Joe Niederberger
1/4/13 Joe Niederberger
1/5/13 GS Chandy
1/5/13 GS Chandy
1/6/13 Robert Hansen
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