(5.18) When we learn of a fact we can be sure it is the result of a certain definite cause and this cause will act with invariable precision.
Facts are effects. Every effect has a cause. If we know the cause, we can anticipate the effect.
(5.17) We may account for strange and unexplained phenomena by the creative power of thought.
When we look at telephone wires stretching into the distance, we “see” wires beyond the limits of our eyesight. This is the brain compensating for what we believe to be true. Similarly, eyes have a blindspot which the brain fils in with images it has already seen or believes to be there, so we have no conscious interruption or gap in our visual perception.
You can test for your blindspot here.
(5.16)These laws have been discovered by a generalization of facts that are unusual, strange, and form the exception.
Natural laws are a collection of “causes.” We may account for all experience by identifying the cause of said experience.
(5.15) This principle destroys superstition, precedent, and conventionality.
An understanding that all experience has a cause and that all unwanted effects can be eliminated by replacing the cause, empowers us to transcend dependency upon absolutes/beliefs that so not support our ideal state.
(5.14) This principle is founded on reason and experience.
(5.13) The class of facts that can not be accounted for in the daily observation of life are esteemed most highly.
The effects whose causes are harder to identify are esteemed most highly.
Aperture of Brahma 