science

No. No, it proves what ideas are not true.
That's what the falsifiable standard is all about.

What you might be thinking of are unfalsifiable claims, like religion often makes. And in those cases yes, science can't say they're false. So science doesn't apply at all to those things. You may use logic or mathematics to try find a probability for those things, but that's not realy science. Those are different disciplines. Though they do have overlap, as science uses them also.