Re: Euclidean Geometry in Schools

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.

--
Jeremy Boden
.

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