If you buy into Wittgenstein's rule-following paradox.
You could say anything about anything.
> no course of action could be determined by a rule, because any course of action can be made out to accord with the rule
If I had my own way of (mis?)interpreting him, I think he was alluding to what we now call "strict evaluation" in Programming Language Theory. A diligent rule-follower.
My question asking if you value products of philosophy that have become essential to our society neither contains an unjustified assumption and thus is not a loaded question and still stands and thus has not backfired.
It contains an unjustified assumption that “logic, the art of making distinctions, the study of critical thinking and the foundation of mathematics" and [other?] art belong in different categories.
It also takes an incomplete view on "critical thinking". Drawing distinctions is complemented by abstracting similarities.
The creation of knowledge (in all its forms) is itself a form of artistic self-expression. It is essential to humans, and therefore essential to society.
As a programmer my medium of self-expression is software.
I am an artist as much as I am a logician and a scientist.
What I do is create. It also happens to be useful to others, which is why it pays fucking well too.