The great flight safety numbers of modern jet travel are due to the fact that commercial traffic is heavily regulated end to end, from production to operation, licensing and maintenance. None of this is specific to jet travel, it is just that speed and comfort pushed props mostly out of the business.
Every screw on a Boeing aircraft has a documented specification for the torque used to install it. That’s why I feel comfortable to fly as much as I do.
The larger benefit with jets is being able to fly much higher and faster and being able to hit the 30,000-35,000 sweet spot where the air is thinner, the plane is above storms, and jet fuel efficiency for typical planes is pretty good. The larger 'innovation' on the success of jets is the lowered cost per seat. Props at 10k altitude burned a lot of fuel and were slow which hurt their ability to get more fares. Safety didn't hold back the industry. Cost and speed did.
edit: applies to non-turbo prop as well
But yeah there were other reasons planes got much safer after around the 1950s.
Most commercial airliners use turbofans which are similar in that majority of their thrust does not come from the engine's jet exhaust.
https://en.wikipedia.org/wiki/Turboprop#History
and used in popular prop airliners like the Lockheed Electra:
https://en.wikipedia.org/wiki/Lockheed_L-188_Electra
I'm guessing you're thinking of turbofans.
I don't know why you're arguing we had jet airliners before propliners. In general, props greatly predate jetliners for civil aviation.
That seems a little strong. Lidar tech, for example, seems to still be a differentiator between competitors.
Hardware and software is designed against ethical, legal and liability standards. This is illustrated by the high number of rear end collisions that robot cars are prone to vs human drivers.
Experience in the field doesn’t happen exponentially. Development of law relating to these matters doesn’t happen exponentially.
Why do you think we are experiencing exponential progress in the area of self driving cars? Why do you think that the Wright brothers era weren't experiencing exponential progress with respect to the technology they needed to make commercial flight?
Finally, with hardware we normally only have to worry with 3 dimensions plus time. I guess fluid dynamics is kind of complicated, but we can at least put the thing into a wind tunnel. With software things can get more complicated because they're not constrained by physics anymore. But at least we have debuggers. With self driving cars we're going to have a support vector machine or a neuro net or something like that running. Some of these techniques can't even be debugged ... they just work or they dont. I'm not sure being free of the limitations of hardware is an asset.