Talk:Continuum (mathematics)

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how can a continuum be compact? There is no finite subcover of the Real line, the classical example of the continuum. This would make more sense if it was locally compact, no? jordan 13:19, 28 July 2006 (UTC)

_____________________________________________________________________________________________________________________ May I ask for more obviously outlining the promised two distinct meanings of continuum in mathematics? Also, I cannot find a reference explaining the word shah. How to pronounce this word?

According to Peirce who was influenced by Leibniz, a continuum is something every part of which has parts. I would like to call such continuum the ideal one, corresponding to the ideal and original notion of infinity being not considered as a quantity but as a fictitious quality that cannot get enlarged and also not get exhausted.

141.44.61.46 11:02, 3 July 2007 (UTC)