And yes, I know information theory. It's language that these folks - many of them prominent and celebrated within their utterly normalized professions, just like in the days of phrenology - are fundamentally mistaken about. What quantity of information do you think there is in the word "trump," for instance? Is it the same over time, to bring up just one feature of how this funny thing called context informs human speech?
Wittgenstein's Philosophical Investigations is a good place to start if anyone's interested in understanding this issue.