That restricts you to mathematics, logic or philosophy. Engineering, or the rest of the world, operates _at best_ on statistics.
Also even considering aesthetics and elegance, I find use of statistics to power a reasoning, ungainly, compared with other means of arguing the same thing.
This application of "engineering" onto programming is largely the result of people not truly understanding the system they are dealing with. The system isn't some sub-sonic jet that will be subject to unknown turbulence, it's just axioms and rules.