One can never prove things in general, only prove things in particular. Then one makes extrapolations from this. All the effort to draw overarching conclusions from limited data are suspect, except (perhaps) when it comes to axioms in science. These applications are limited to the physical world for the most part. So much of what is important to human beings lies outdside of this purvey.
Science has no values to promote, but humans beyond all else need a positive, value laden outlook for their prosperity, even for their survival.