[giorgosts]

False dichotomy. Of course language is for communication like in all other animals, but where would man be without the invention of the language of mathematics? Probably not in the space and nuclear age. So the linguistic tools can push the boundaries of human cognition.

[taneq]

Exactly. It's like saying hands are for making things rather than for carrying things.

[subuwm]

Did you read the paper? According to the authors, mathematics isn't a "language" in this sense.