Over 99% of students learning math aren’t going to be expected to contribute to cutting-edge proofs, so I don’t regard this as a good reason not to use “plain English” methods.
In any case, a plain English understanding can allow you to bootstrap to a rigorous understanding, so more hardcore mathematicians should be able to overcome any problem introduced this way.
I agree that this is likely often suboptimal when teaching math. The argument I was presenting was that this approach was not due to signaling. I’m not arguing that this is at all optimal.
Over 99% of students learning math aren’t going to be expected to contribute to cutting-edge proofs, so I don’t regard this as a good reason not to use “plain English” methods.
In any case, a plain English understanding can allow you to bootstrap to a rigorous understanding, so more hardcore mathematicians should be able to overcome any problem introduced this way.
I agree that this is likely often suboptimal when teaching math. The argument I was presenting was that this approach was not due to signaling. I’m not arguing that this is at all optimal.