An example would be the problem of understanding. The Psychologists are confident we can't expect to fully understand our own minds. But, they are also confident we can expect to understand any possible Computer Program. And they're just wrong about that, that's the implication of Kurt Gödel's work, we definitely can't expect to understand arbitrary Computer Programs, we have instead chosen to mostly try to write programs from a narrow set we can understand, although not altogether successfully. Thus, the Psychologist thinks they've found an obvious difference, but I think they found an obvious similarity!
That's not true at all. There are many, many state machine implementations where the machine's states and paths are altered by the machine itself. See for instance https://digitalcommons.trinity.edu/cgi/viewcontent.cgi?artic...