[QUANTITY] Why quantities always have errors (Was: Re: [QUANTIT] Use-cases, role in larger scheme)
Brian Thomas
brian.thomas at gsfc.nasa.gov
Mon Nov 17 09:01:11 PST 2003
On Monday 17 November 2003 11:21 am, DIDELON Pierre wrote:
> Why trying to forbidd the concept of number without error
> if it can be introduce (for free) and claim as necessary by some people?
I for one believe it is "an error" to have a number without an error.
You have to ask yourself, what does it mean when the error is not present?
There are at least 2 possibilities: the number is "exact" -or- it may mean that
we "don't know" the error because the publisher of the number was "lazy"
(yes, this does happen. Many journal articles, for example, have papers with
columns of numbers and no errors in them but should have them).
Treatment of these types of "errorless" numbers is presumeably different,
if you want to do a calculation with them. In the first case, error propagation
is straitforward and clear. In the second case, the user may choose to
either do a "sloppy" calculation, noting the problem in the errors, -or-
do no calculation at all.
Hence, I believe, statements about errors are *always* appropriate, even if
they aren't present.
Regards,
=b.t.
--
* Dr. Brian Thomas
* Code 630.1
* Goddard Space Flight Center NASA
* fax: (301) 286-1775
* phone: (301) 286-6128
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