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[TODO: I should think about what happens when replacing $p$ with a distribution probability.]  Besides the \ghilimele{finite description for a non-zero fraction of the observable universe} property, we can look at some of the properties of our universe likehomogeneity, isotropy or  having the same forces acting through the entire space or space,  for all moments in time [TODO: Make sure that these are distinct]. time.  It is harder to give a mathematical proof that these are zero-probability ones, but if we think that given a set of universes havingany of  these properties, sharing the same (mathematical space) mathematical space (e.g. $\reale^3$)  and having at least two distinct elements, one can slice and recombine them in infinite ways, it is likely that these properties are also zero-probability ones. An example of such a combined possible universe is the one with infinite planets on a line mentioned above. In other words, the cosmological principle is (very) likely to be a zero-probability property. Similarly, if we take the rules for how the universe works as we perceive them, most likely there is a zero chance that they would apply through the entire universe and a very low chance that they would apply outside of earth / our solar system. In other words, if our world is not designed, there is a good chance that we may know a lot about what happens on Earth, maybe something about what happens in our solar system, we almost surely don't know what happens in our galaxy and outside of it. Also, we have a good chance of knowing how the world works now and in the near past and future, but we probably don't know what were the physical laws in the distant past or how they will be in the distant future. [TODO: put this below and link it to the conclusion.]