I don't think that I want to fly on a Boeing 737 Max

There is a great analysis of the 737 Max failures at IEEE:

The engines on the original 737 had a fan diameter (that of the intake blades on the engine) of just 100 centimeters (40 inches); those planned for the 737 Max have 176 cm. That’s a centerline difference of well over 30 cm (a foot), and you couldn’t “ovalize” the intake enough to hang the new engines beneath the wing without scraping the ground.

The solution was to extend the engine up and well in front of the wing. However, doing so also meant that the centerline of the engine’s thrust changed. Now, when the pilots applied power to the engine, the aircraft would have a significant propensity to “pitch up,” or raise its nose.

Larger engines were critical to the design, because that's how you get efficiency (read: lowest fuel cost).  The old airframe (fuselage and wings) were critical to the design because if you do a major change to the plane then the FAA certification is no longer valid and you need to (very expensively) re-certify the plane.

In the 737 Max, the engine nacelles themselves can, at high angles of attack, work as a wing and produce lift. And the lift they produce is well ahead of the wing’s center of lift, meaning the nacelles will cause the 737 Max at a high angle of attack to go to a higher angle of attack. This is aerodynamic malpractice of the worst kind.

This is really, really bad.  Consider a plane that is about to stall.  One approach (especially with large, powerful engines) is to apply power to increase air speed.  On the 737 Max, this will cause the nose to pitch up and bring on the stall.  The design is inherently unstable in this situation.

Let’s review what the MCAS does: It pushes the nose of the plane down when the system thinks the plane might exceed its angle-of-attack limits; it does so to avoid an aerodynamic stall. Boeing put MCAS into the 737 Max because the larger engines and their placement make a stall more likely in a 737 Max than in previous 737 models.

When MCAS senses that the angle of attack is too high, it commands the aircraft’s trim system (the system that makes the plane go up or down) to lower the nose. It also does something else: Indirectly, via something Boeing calls the “Elevator Feel Computer,” it pushes the pilot’s control columns (the things the pilots pull or push on to raise or lower the aircraft’s nose) downward.

This sounds sensible, although kludgy.  The problem is that the Elevator Feel Computer has a really powerful actuator; pilots will struggle to overcome it and push the nose down.  It seems that this wasn't a bug, but a feature of the design.  But here's the crux of the problem:

In the 737 Max, only one of the flight management computers is active at a time—either the pilot’s computer or the copilot’s computer. And the active computer takes inputs only from the sensors on its own side of the aircraft.

When the two computers disagree, the solution for the humans in the cockpit is 
to look across the control panel to see
 what the other instruments are saying and then sort it out. In the Boeing system, the flight
 management computer does not “look 
across” at the other instruments. It 
believes only the instruments on its side. It doesn’t go old-school. It’s modern. It’s software.

This means is that if a particular angle-of-attack sensor goes haywire—which happens all the time in a machine that alternates from one extreme environment to another, vibrating and shaking all the way—the flight management computer just believes it.

There's no redundancy.  Let me elaborate on that:

There's no redundancy.
There's no redundancy.
There's no redundancy.
There's no redundancy.

Holy cow, this is the dumbest design I've ever heard of, and I'm not even an aeronautical engineer.  This smells of "we found this out late in testing and had outsourced software developers write us some code in a hurry to fix it".  I don't know if that's how things happened but I've seen this more than once or twice in my career.

It gets even worse. There are several other instruments that can be used to determine things like angle of attack, either directly or indirectly, such as the pitot tubes, the artificial horizons, etc. All of these things would be cross-checked by a human pilot to quickly diagnose a faulty angle-of-attack sensor.

In a pinch, a human pilot could just look out the windshield to confirm visually and directly that, no, the aircraft is not pitched up dangerously. That’s the ultimate check and should go directly to the pilot’s ultimate sovereignty. Unfortunately, the current implementation of MCAS denies that sovereignty. It denies the pilots the ability to respond to what’s before their own eyes.

Like someone with narcissistic personality disorder, MCAS gaslights the pilots. And it turns out badly for everyone. “Raise the nose, HAL.” “I’m sorry, Dave, I’m afraid I can’t do that.”

There's no redundancy.
There's no redundancy.
There's no redundancy.
There's no redundancy.

So Boeing produced a dynamically unstable airframe, the 737 Max. That is big strike No. 1. Boeing then tried to mask the 737’s dynamic instability with a software system. Big strike No. 2. Finally, the software relied on systems known for their propensity to fail (angle-of-attack indicators) and did not appear to include even rudimentary provisions to cross-check the outputs of the angle-of-attack sensor against other sensors, or even the other angle-of-attack sensor. Big strike No. 3.

None of the above should have passed muster. None of the above should have passed the “OK” pencil of the most junior engineering staff, much less a DER.

That’s not a big strike. That’s a political, social, economic, and technical sin.

This is a long and detailed article and I've only excerpted key bits.  You should really read the whole thing because the situation is simply horrifying.  Boeing has destroyed their reputation.

I've written many, many, many times about design issues in Airbus' flight control software,, where the pilots become confused or the software freaks out and people die.  I always liked flying Boeing because their reputation that "the pilot is always in charge" was my strong preference - my whole career has been dealing with software failure, and my imagination is too active to ever be comfortable on an Airbus plane.

Well that has all changed after 737 Max.  It's not just that the pilot can't fly the plane now, it's this:

That’s because the major selling point of the 737 Max is that it is just a 737, and any pilot who has flown other 737s can fly a 737 Max without expensive training, without recertification, without another type of rating. Airlines—Southwest is a prominent example—tend to go for one “standard” airplane. They want to have one airplane that all their pilots can fly because that makes both pilots and airplanes fungible, maximizing flexibility and minimizing costs.

It all comes down to money, and in this case, MCAS was the way for both Boeing and its customers to keep the money flowing in the right direction. The necessity to insist that the 737 Max was no different in flying characteristics, no different in systems, from any other 737 was the key to the 737 Max’s fleet fungibility. That’s probably also the reason why the documentation about the MCAS system was kept on the down-low.

And so the pilots on the fatal flights couldn't figure out how to get out of the situation because Boeing intentionally did not tell them.  Allegedly.  This one will have to go through the courts but this very well may end up being the most expensive design mistake in history.