Re: The infintely small number b

On Nov 27, 5:56 am, David R Tribble <da...@xxxxxxxxxxx> wrote:
David R Tribble wrote:
I'm not following you.
Interval A = [1,2] defines an interval having bounds 1 and 2
and which includes 1 and 2.

Venkat Reddy wrote:
A is a set of some things which are not points, because we are unable
to establish that points can add up to a finite extent.

I did not realize that this was a requirement of sets.
Or points.

I'm sorry, I meant interval, not set. The requirement for an interval
is implied in the "modeling of interval". It needs to be filled up.


However bounds
are points because we can cut an interval at a point. So this
indicates that there is no "inclusion" or "exclusion" of 1 and 2,
because it is not a set of numbers at all.

That's really strange because
A = [1,2] = { x : 1 <= x <= 2, x in R }
satisfies the requirements for a set.

What are your definitions of intervals and sets?

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