37 karma · joined July 18, 2023
Provability is just going the way of computation. John Napier had to manually compute logarithm tables over decades and was recognised for his work; now that same work could be performed by a 10 year old with a calculator in an evening.
I am not a mathematician, but this seems like an entirely non-problematic answer to me. Mathematics is ultimately the discovery of relations and their consequences, so of course large language models were eventually going to catch up. But precisely what they do lack is ability to appreciate these relations.
The author says mathematics is a spiritual pursuit.[1] I have asked LLMs about theological topics before and they have also been able to produce perfectly cogent answers (even heavy questions like “how did Aquinas view Pseudo-Dionysius’ negation-laden description of God”). I am not the least bit shaken by this, because it is still on me to evaluate and understand, and appreciate these answers.[2] The author seems to think LLM’s pattern recognition makes redundant human understanding and appreciation, which is a logical leap that doesn’t make sense to me. Maybe the author is conflating utility and purpose? I feel bad, and hope the author takes care of themself, but I really think the author is taking a massive leap here. It is not that deep.
[1] I begrudgingly agree, but with the caveat that tending to a vegetable garden in your backyard is also a spiritual pursuit. Mathematics isn’t some special discipline that elevates you beyond other people, as much as it is useful and interesting.
[2] I of course wouldn’t consult an LLM if I actually wanted to educate myself or reason about these topics. Not only do I want to reason through them myself, but when it comes to issues in philosophy/theology/heavy stuff, you need to take in to account the perspective and experiences of the human writing them. LLMs muddle everyone’s perspective together.
But there has been a meme in China for ages that Trump is secretly a Chinese guy named “Chuan Jianguo” (Jianguo means “building the nation”) who was sent by China to destroy America from within.
Often times, the anxiety is the beginning of a cycle that inhibits learning (people turn to their devices for anxiety-relief in math class, causing them to learn less math, causing them to be more anxious about math, and suddenly there is an increase in "math anxiety" except for the small minority socialised into math from a young age)
If I had a gameboy (as some others in this thread mention) on me in middle/high school, I'd be at least engaging with something where the input informs the output, probably realise it's not worth the effort, and start paying attention to class.
It's also worth noting that social media platforms are expressly designed to not be understood; you don't actually learn anything about technology or gain an interest in computing by watching Reels; it's not like the teachers are the dumb ones and the kids are all discussing the merits of glibc vs musl on IRC or something
I understand that HN is mostly inhabited by those from a more techno-optimist era when most administrative positions were held by boomers who thought that the monitor was the computer, but this isn't that. This is qualitatively different.