Calculus for Economists

Gabriel Sterne complains about economists' loose use of mathematical terminology: Of course, it's not just economists who use "increase" and "accelerate" interchangeably. But economics is a mathematical discipline, and in mathematics, "increase" and "accelerate" mean different things. So is Gabriel's observation true, and if it is, is it a problem? To test Gabriel's hypothesis, I ran a little Twitter test. I asked this question: This was of course far from rigorous: the sample was self-selecting, there was no way of restricting it to economists (though I did ban finance tweeps from answering), and it all depended who was on Twitter this morning. And the terminology I used was itself confusing - deliberately so, since this is how economists often write. But the results were nevertheless interesting. Most non-economists got the answer right. Physicists, in particular, understood it straight away. But most economists who answered ...