Re: The infintely small number b

On Nov 21, 6:18 pm, Venkat Reddy <vred...@xxxxxxxxx> wrote:
On Nov 22, 2:39 am, mike3 <mike4...@xxxxxxxxx> wrote:

On Nov 19, 5:45 pm, Venkat Reddy <vred...@xxxxxxxxx> wrote:

<snip>

"Translation" means
finding an alternate and equivalent value or an expression for a given
one. In this case, given (a,b) find [c,d] which is equivalent to
(a,b). For example, given (3,4) find values for c and such that [c,d]
represents (3,4).

OK, so what criteria must it satisfy such that it "represents" (3, 4)?
What does "represent" mean? I could have a whole different idea of
what that means than you do. Does it mean, have two points c and d
such that the set of all x where c <= x <= d is the same set as (3, 4)
(ie. [c, d] = (3, 4))? If so, then such c and d do not exist on the
reals, otherwise they would be the endpoints of (3, 4) and that would
contradict our idea that (3, 4) is an open interval. How is it a big
issue for you that some sets do not have endpoints in them?

So, atleast we agree that there is no closed interval (say C) on the
Real line which is equivalent to a given open interval (say D) on the
Real line. However since both intervals represent line segments on a
line, it suggests that there must be another parallel number system
which contains D. What is that number system? My latest thread
attempts to answer this.

- venkat

There IS a number system that contains D. It is R, the set of real
numbers. It also contains the interval C as well. It seems your "b
number" (wasn't there another name you came up with for it? Where does
that name come from?) is a non-solution of a non-problem.

You seem to see a problem somewhere in mathematics. But what is the
problem? What is the _deficiency_ that you are seeking to "correct"
with this thing?
.

Relevant Pages

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