Namely:
> The only way to do that is to make your code provable.
Proofs are a mathematical concept. They only work in the abstract world of mathematics where everything is perfectly logical.
Engineering exists in the real world. The physical realm where our mathematics are only imperfect models of what actually exists. Removing bugs through physical engineering requires persistent trial and error until you have found all the places where our mathematical models don't adequately represent the real world.
It's the same in software engineering, which involves cobbling together a myriad of systems not all designed to talk to each other and massive, ever changing codebases where perfect knowledge is impossible.
So yes, we should be trying to engineer bug free code. But that's really more a matter of changing our resource allocation, spending more time and money on QA and doing away with mottos like "Move fast and break things". It's a cultural shift and will only come when the bosses -- the venture capitalists who ultimately control our industry -- are held accountable when things break, and given strong incentives to ensure they don't break.