alt Hacker NewsNo — people don’t successfully use things they don’t understand every day.
They approximately use them with varying degrees of success, but also mistakes, broken inferences, etc.
My exact point is that your view reduces our ability to do mathematics to that broken, flawed usage and thereby undermines its utility for logical precision: mathematics is only useful because we cleanly understand it.
When you try to use mathematics without understanding, you cause disasters: stock market crashes from mispricing options, Amazon’s 2018 hiring freeze from misallocating $1B, etc.
Note: neither of your examples (sleep, gravity) are things that people intentionally use. They just happen to people.
I think it’s very telling you couldn’t think of an example.
Replies
How many people drive cars without knowing how an engine works? Or make a phone call without knowing how voice compression for a cellular network does it's thing? Or eats food without knowing how it came together from the supply chain?
It's easy to find counterexamples: the entire science of pharmacology is based on macroscopic effects that often lack a fundamental understanding of the underlying mechanisms of action. Psychopharmacology is the extreme example. Often, the fact that a drug worked made scientists investigate and discover the mechanism behind it, but for many drugs used every day by billions it's still a mystery, or it's understood only in very broad terms.
So what will you do if the doctor prescribes you an LLM-vibecoded drug that nobody understands how it works, yet it cures some deadly affliction with close to 100% efficacy?
What if, say, these incomprehensible math results lead to a revolution in quantum physics which unlocks chip topologies that are orders of magnitude faster than human comprehensible designs?
Would the high priestess of human reason pass her divining rod over such chips or life-saving drugs and reject it as the work of the AI devil?