Comment by csdvrx
9 days ago
Intransitive preferences is well known to experimental economists, but a hard pill to swallow for many, as it destroys a lot of algorithms (which depends on that) and require more robust tools like https://en.wikipedia.org/wiki/Paraconsistent_logic
> just one of the many tools of reason.
Read https://en.wikipedia.org/wiki/Preference_(economics)#Transit... then read https://pmc.ncbi.nlm.nih.gov/articles/PMC7058914/ and you will see there's a lot of data suggesting that indeed, it's just one of the many tools!
I think it's similar to how many dislike the non-deterministic output of LLM: when you use statistical tools, a non-deterministic output is a VERY nice feature to explore conceptual spaces with abductive reasoning: https://en.wikipedia.org/wiki/Abductive_reasoning
It's a tool I was using at a previous company, mixing LLMs, statistics and formal tools. I'm surprised there aren't more startups mixing LLM with z3 or even just prolog.
Thanks for the links, the "tradeoff" aspect of paraconsistent logic is interesting. I think one way to achieve consensus with your debate partner might be to consider that the language rep is "just" a nondeterministic decompression of "the facts". I'm primed to agree with you but
https://news.ycombinator.com/item?id=41892090
(It's very common, esp. with educationally traumatized Americans, e.g., to identify Math with "calculation"/"approved tools" and not "the concepts")
"No amount of calculation will model conceptual thinking" <- sounds more reasonable?? (You said you were ok with nondeterministic outputs? :)
Sorry to come across as patronizing
if conceptual thinking is manipulating abstract concepts after having been given concrete particulars, I'd say it relies heavily upon projection, which, as generalised "K" (from SKI), sounds awfully like calculation.
And this is why I think gibson1 is wrong: we can argue about which projections or systems of logic should be used, concepts are still "calculations".
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