The depth of an argument is limited by the shallowest person in the argument. Which means arguments are futile if there is no decisive conclusion reachable at a shallower level. If the proof takes calculus and your opponent only knows algebra your only real option is to arrange an empirical demonstration that will seem like magic to them.

Delver at contraptions.venkateshrao.com, running summerofprotocols.com, host of /gloom ☀️

“The whole problem with the world is that fools and fanatics are always so certain of themselves, and wiser people so full of doubts.” - Bertrand Russell

The most competent people distill complex ideas into simple analogies or stories that resonate with even the most simple minded individuals…