>Even for a simple case, take the number of symbols that have context sensitive meanings and mathematicians. They will use them without declaring which context they are using, and a reader is simply supposed to infer correctly.

Yes!! Like, oh, you didn't know that p-looking thing (rho) means Pearson's correlation coefficient? That theta means an angle? Well just sit there in ignorance because I'm not going to explain it. And those are the easy ones!