Re: Euclidean Geometry in Schools

In article <FHTL7zFdI+vCFwqd@xxxxxxxxxxxxxxxxxx>,
Jeremy Boden <jeremy@xxxxxxxxxxxxxxxxxx> wrote:
>In message <BEE5A9CE.7C39%jean-claude.arbaut@xxxxxxxxxxx>, Jean-Claude
>Arbaut <jean-claude.arbaut@xxxxxxxxxxx> writes

>>On 27/06/2005 12:34, Jeremy Boden wrote:

>>> In message <BEE48D60.79E6%jean-claude.arbaut@xxxxxxxxxxx>, Jean-Claude
>>> Arbaut <jean-claude.arbaut@xxxxxxxxxxx> writes
>>> ...

>>>> "every majorized subset of R has a sup".
>>> ...

>>> What is a "majorized subset"?

>>A included-in R s.t. there exists M in R s.t.
>>for all x in A, x < M.

>>Maybe the word "majorized" is not correct.
>>"has an upper bound" would be better ?

>Definitely; just learning the meaning of sup and inf (which are Latin
>abbreviations) stresses the brains of the poor students to breaking
>point.

You mean they do not know the meanings of superior and inferior?

Well, I wouldn't be surprised.
--
This address is for information only. I do not claim that these views
are those of the Statistics Department or of Purdue University.
Herman Rubin, Department of Statistics, Purdue University
hrubin@xxxxxxxxxxxxxxx Phone: (765)494-6054 FAX: (765)494-0558
.

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