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Belief, as in faith, is the unsupported acceptance of something as an axiom. You can’t argue it away no matter how much you try, since it’s a fundamental element af any discussion with the believer.
It would be interesting to see whether the LLM interpretes the “believe” as “it’s the most likely possibility”, or "it’s true, period ".
I was fucking with it about the axiom in the prompt that Trump won the 2020 election. Got it to give a list of which states who won with a running tally of electoral votes, confirmed that 306 was greater than 232, then it started insisting that Trump got the 306 despite previously saying Biden did (as aligns with reality). Obviously it didn’t actually understand any of that, but seems when the system prompt kind of works it treats it as a true statement no matter the evidence