[tortoise]

An inference of Intelligent Design, that would be.

This does not follow. All algorithmically finite systems (like our universe) have this property, and there are an infinite number of possible universes with this property. Anyone expecting isotropic probability distributions is naive.

[bvw]

Inference, not absolute proof. For example the coin toss examples above. Fifty heads in a row. What does it mean for the next toss? Heads! The coin is rigged. It is off course possible -- but exceedingly less likely, that the coin happened to fall fifty times heads, yet the more reasonable assumption is that it is rigged.