Quote Originally Posted by Cone
Uh, 0.3333... is an irrational number, and given any sequence of an arbitrary length, it will only be composed of 3's. An irrational number is not necessarily the set of all permutations of everything conceivable.
An irrational number cannot be represented in the form of a/b. 1/3 makes .333.... a rational number. A repeating decimal, yes, but not an irrational number.

On my "thought experiment": The idea was simply to consider whether an irrational number could exist and not contain all possibile finite sequences. I succeeded, but one might call my design "cheating." I call it "using creative means to achieve results that might not be achievable if limited to traditional methods."