Articulating the ineffable. Programming language theory 
cognitive psychology. PhD @Stanford
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But that's the point, isn't it? FP is about making programming more like math. It's natural to pick examples from the math domain, where the contrast is most obvious. I guess I'm not sure whether you're against the reasoning or against the choice of example.
For a non-math example, I like UI programming. e.g. jQuery spaghetti where DOM is treated as mutable state separate from the data (also mutable state). Easy to have state mismatches. But React/FRP goes a long way towards solving those issues.
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