Sets and common border
- From: vreddyp@xxxxxxxxx
- Date: 23 Oct 2006 02:24:35 -0700
I was discussing some sets of real numbers in my other post related
some circular algebraic operations, and got into this generic question.
If we take a wooden measuring scale marked with numbers, and break into
parts by cutting it exactly at integer markings (at 1, 2, 3 etc), then
which piece do these numbers belong to?
In other words, if I break a real number line at, say 2, to make it two
sets, then which of the two sets 2 belong to? Here I want to consider 2
as the common border but not an element. Can't we consider numbers as
borders? Then what are borders? Some even thinner points that lie
between each two consecutive numbers?
Venkat
.
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