Stubsack: weekly thread for sneers not worth an entire post, week ending 28th December 2025
corbin @ corbin @awful.systems Posts 28Comments 339Joined 2 yr. ago
corbin @ corbin @awful.systems
Posts
28
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339
Joined
2 yr. ago
Your favorite science YouTubers are misleading you about AI — how to spot lies
Catching up and I want to leave a Gödel comment. First, correct usage of Gödel's Incompleteness! Indeed, we can't write down a finite set of rules that tells us what is true about the world; we can't even do it for natural numbers, which is Tarski's Undefinability. These are all instances of the same theorem, Lawvere's Fixed-Point. Cantor's theorem is another instance of Lawvere's theorem too. In my framing, previously, on Awful, postmodernism in mathematics was a movement from 1880 to 1970 characterized by finding individual instances of Lawvere's theorem. This all deeply undermines Rand's Objectivism by showing that either it must be uselessly simple and unable to deal with real-world scenarios or it must be so complex that it must have incompleteness and paradoxes that cannot be mechanically resolved.