[carbocation]

Kind of funny, but not really meaningful. There are different priors. Prior probability that water is actually medicine: ~0. Prior probability that repeat head trauma causes damage: >0. If you'd ever seen an MRI of diffuse axonal injury you'd have a different perspective.

[senki]

A good example of a priori knowledge: "All bachelors are unmarried". This is true, because it's so by definition, it's probability == 1. The effect of boxing is not so obvious as you claim (prior probability that repeat head trauma causes damage: <1), and should be verified. See also roel_v's responses in this sub-thread.

[carbocation]

Please reread what I wrote instead of setting up a strawman; you'll see that I did not write "=1" but instead >0. We have prior knowledge on this from evidence.

[senki]

It's not prior knowledge but a prior conjecture. If you know something, you know it for sure.

[carbocation]

That's not how probability works.