Swan Tower

For myself, suspension of disbelief would fail roundabout the time the machine could do much more than simple mathematical modelling, much as a spreadsheet, or control mechanical equipment. That said, even simple mathematical models ("if we postulate the spread of the plague like so, madam, and allow for one or more interferences here, we arrive at these possibilities.") offer the possibility of entertaining sympathetic magic. The ability to determine horoscopes to arbitrarily fine degrees would also perhaps be of use.