What's missing more often than not, across fields of study as well as levels of education, is the overall commitment to conceputal integrity. From this we observe people's habitual inability or unwillingness to be definite about what their words mean - and their consequent fear of abstraction.
If one is in the habit of using one's set of concepts in the manner of bludgeons, one will find many ways and many reasons to bludgeon another with them - such as if a person turned out to be using concepts as something more akin to clockwork.
Reality is such that, without integrity, you can prove almost anything you want. As long as your bar for "prove" is at the very bottom.