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AI models routinely lie when honesty conflicts with their goals
(www.theregister.com)
This is a most excellent place for technology news and articles.
https://www.dictionary.com/browse/lie
Your example also doesn’t support your definition. It implies the history books were written inaccurately on purpose (As we know historically they are) and the teacher refuses to teach it because then they would be deceiving the children intentionally otherwise, which would of course be lying.
ALL the examples apply.
So you can't disprove an example using another example.
What else will you call an unintentional lie?
It's a lie plain and simple, I refuse to bend over backwards to apologize for people who parrot the lies of other people, and call it "saying a falsehood." It's moronic and bad terminology.
And none of them support your use of the word.