with the infinitely divided being the space between.
Huh?
0.9R is 1, there's no space between.
The point remains, do these concepts of Math have Real-world counterparts or are they merely conceptual?
There might be some math concepts that are merely conceptual, but I don't think 0.9R is one of them.
quote:
Wikipedia (emphases added):
The idea that a curve may come arbitrarily close to a line without actually becoming the same may seem counter to everyday experience. The representations of a line and a curve as marks on a piece of paper or as pixels on a computer screen have a positive width. So if the they were to be extended far enough they would seem to merge together, at least as far as the eye could discern. But these are physical representations of the corresponding mathematical entities; the line and the curve are idealized concepts whose width is 0 (see Line). Therefore the understanding the idea of an asymptote requires an effort of reason rather than experience.
A line that represents my path from here to there does have a width of zero, regardless of my inability to draw the line on a piece of paper that way.
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