# If hypothesis p is false and conclusion q is false, the statement q -> ~p  would be?

Feb 6, 2017

Thus, even if you later come up with a true conclusion, it is, with regards to your hypothesis, inconclusive.

i.e. Your conclusion could have been true for any given hypothesis, not necessarily the one you're talking about.

An example:

We falsely hypothesize that $\text{Na}$ is a nonmetal, and falsely conclude that $\text{Na}$ is a nonmetal.

(We know it is a metal.)

We later realize and correctly conclude that $\text{Na}$ is an element, and we, for some reason, believe that it proves that the hypothesis where sodium is a nonmetal is false.