Re: Euclidean Geometry in Schools



In message <d9pdb0$smq@xxxxxxxxxxxxxxxxxxxx>, Herman Rubin <hrubin@xxxxxxxxxxxxxxxxxxxx> writes
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.
Me too - but sup=supremum, inf=infinum
(I might have got the spelling wrong!)

--
Jeremy Boden
.


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