@etchedpixels @fishidwardrobe @cstross We also have a historical tendency to put too much weight on calculation. (That would be "any weight at all.")
We evolved, so everything we can do is an extension of something some other organism can do, and it had to be not-actively-harmful the whole time, back into the deeps of time. We're not calculators. We are plausibly signal processors. (And for the most recent few tens of thousands of years out of those hundreds of millions, we can math.)