[mcphage]

> If I follow correctly, the issue with randomly picking any real number in that interval is that irrational numbers would require infinite computational steps to resolve.

In mathematics, doing things an infinite number of times is generally no problem, in fact it’s almost always done.

Of course, there are also many different sizes of infinity, and doing things a larger infinite size number of times requires some extra steps... but most branches of math only do things a countable infinite number of times (the smallest infinity).