> From what I know about the academic community (mostly from Twitter and LinkedIn, which I assume are representative), there seems to be near-unanimous agreement that the purpose of math and science research is to gather a large quantity of potentially true factoids in a repository that nobody will actually ever read, in a ritual called “advancing humanity’s[3] knowledge”. That these results are well-written, understandable, pleasant to read or look at, or even completely correct is a secondary concern — in fact, in the pursuit of advancing humanity’s knowledge as quickly as possible, many academics will recoil in anger at the suggestion that it is worth spending any time making results understandable to humans.
Am I the only who thinks this is rhetorical? Modern mathematics is so far removed from the base average knowledge (lets just assume high school instead of going to axioms) that the only people who understand most (if not all new) mathematical achievement are the mathematicians themselves, heck not even all mathematicians, it needs to be spread and developed from "hot spots"?
Your math results are not "well-written, understandable, pleasant to read or look at" unless you literally operate with two or three levels within the proof paper compared to the average person who probably starts at an order of magnitude levels higher.
To the average person, asking a mathematician to explain something is the same as asking the AI/LLM. Both are asking an oracle to dumb it down to their level of abstraction.
To the person who are not career mathematicians, both LLMs and mathematicians do the same thing, pump out garbled output that they themselves understand, and to mathematicians, the difference is one probably explains using axioms rather than theorems.
Am I the only who thinks this is rhetorical? Modern mathematics is so far removed from the base average knowledge (lets just assume high school instead of going to axioms) that the only people who understand most (if not all new) mathematical achievement are the mathematicians themselves, heck not even all mathematicians, it needs to be spread and developed from "hot spots"?
Your math results are not "well-written, understandable, pleasant to read or look at" unless you literally operate with two or three levels within the proof paper compared to the average person who probably starts at an order of magnitude levels higher.
To the average person, asking a mathematician to explain something is the same as asking the AI/LLM. Both are asking an oracle to dumb it down to their level of abstraction.
To the person who are not career mathematicians, both LLMs and mathematicians do the same thing, pump out garbled output that they themselves understand, and to mathematicians, the difference is one probably explains using axioms rather than theorems.