Re: two or zero are the only options
>There are probably many incidents where the automation went crazy and the pilots just handled it as they were trained and so we never hear about it.
Not really. Each incident is reportable, they all get reported and the reports are publicly available.
But I agree, such events do indeed occur, and the reports makes for sobering reading! Qantas had one such incident with an Airbus, which I don't think was ever satisfactorily resolved or fully understood.