Building a Cathedral without Science or Mathematics: The Engineering Method Explained

What everyone is talking past here is that the Babylonians discovered what engineers call a "rule of thumb", and engineering is focused on getting things done using rules of thumb. The best possible rule of thumb is a mathematical proof or a scientific discovery, but it's by no means necessary. . Observing that something always holds and even having a formula for it is not the same thing as having a proof, and the proof is what makes it mathematics and geometry and not "just" engineering. The babylonians had a rule of thumb -- the greeks discovered the theorem -- and more than that, they seem to have invented the mathematical/geometrical proof as a concept, along with formal logic. Without that mental framework, it's hard to say that the babylonians proved anything or had any theorems at all, only collections of rules of thumb. It's quite likely that lots of babylonians sort of independently and intuitively understood _why_ it must be true, but they don't seem to have ever written it down. Not that there's anything wrong with having rules of thumb -- it's a huge achievement to even notice and collect and teach those things, all the stuff around you is built relying on them. I encourage everyone to watch this series of videos. [this video]

As other comments have implied, but not explicitly said, they do their own engineering already with what they have. Since materials can be scarce and inconsistent, much of it is improvised. That in no way diminishes their efforts, results, or knowledge. If anything, that's way more impressive. Lots of engineers in the first world will throw a tantrum if they can't have things exactly their way and probably still make something that doesn't work as well. Entire businesses have shit their pants and gone bankrupt the moment a part is discontinued. Trying to do better than the people who live there is not only arrogant, but it's own variation of Chesterton's Fence. EDIT: I can't help myself and have to post an engineerguy video. It's too important of a topic to not drive this point home crystal clear by someone who is far more respected than me. "Building a Cathedral without Science or Mathematics: The Engineering Method Explained" [this video]