Calculation has its advantages, but no one likes naked calculation.
With English literature, if you do a bit of shonky spelling, no one dies, but if you're half-way through a maths calculation and you stick in an extra zero, everything just crashes into the ravine.
The circumstances of human society are too complicated to be submitted to the rigor of mathematical calculation.
You could argue that war is always an irrational act, and yet many states enter into military conflict out of rational calculation or national interest or the stability or longevity of their regime.
Failure is central to engineering. Every single calculation that an engineer makes is a failure calculation. Successful engineering is all about understanding how things break or fail.