[kylebrown]

[1,9) is not equivalent to [1,8]. The center of [1,9) is infinitesimally close to the center of [1,9]. Its exactly equal when you take the limit.

[sukuriant]

... I was using that nomenclature for the short hand of "inclusive/exclusive". 1 to 9 exclusive is 1 to 8 in the integer set. Sorry for the lack of clarity. Perhaps now we can get to my original point?