> Things like Math and engineering are all rigid and rules based
Depends where in math, in things like particle physics things get all wibbly wobbly is my cat dead or alive. In things like engineering quite often what you're dealing with is probability based, but you just stack the deck so far in your favor the probability is 1.
As they say, building a bridge that doesn't fall down is easy. Building a bridge that barely doesn't fall down is much harder.
Not saying those fields don't have uncertainty, but I've never seen an physicist pray to Newton that gravity works this time when the ball drops.
I have seen molecular biologists (jokingly) shake the voodoo "molecular biology maracas" over the PCR machine to try and replicate their result.