Can all the philosophical disciplines verify their own answers? What about the social disciplines? Do you just ignore questions which aren't cleanly reducible to science or mathematics?
My complaint about liberal arts educations is that they claim to impart "critical thinking" skills, and will often additionally claim that sci/eng does not.
The revolution in the human condition has been brought about by application of the scientific method - it's the most useful critical thinking skill ever devised.
Consider:
http://en.wikipedia.org/wiki/Critical_thinking
It doesn't even mention the scientific method!
http://en.wikipedia.org/wiki/Scientific_method
The revolution in the human condition has been brought about by application of the scientific method - it's the most useful critical thinking skill ever devised.