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I think "mathematics are" is a normal construction. "We have a new widget that does this, but the mathematics of mass production are troubling."

If you don't like something coming between "mathematics" and "are", how about "I can prove Fermat's Last Theorem, but the mathematics are pretty high level." One could argue that many people would say "the math is pretty high level", but I think I've heard each before. It doesn't feel odd to write at all.

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The thing that weirds me out about "mathematics are" is that it implies the possibility of there being a singular "mathematic".

That's fair. "scissors" is another weirdly plural word. It implies that there is a noun "scissor", but there isn't. (Verb, yes.)

I guess it would be one of the two blades. Likewise, a pant would be one of the two legs of a pair of pants.

Maybe a single mathematic would be a single concept/subject, like arithmetic or algebra?

That's fair. I was only thinking of it in the context of how mathematics is/are referred to as a subject, not as an actual concept. But what you say is true.

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