Is the Fall a Good Thing

[Ryantology]

I see your point but what I am saying is that from my perspective a Computer Scientist (Developer) is that Computers give results as we expect them to give results. If we tell a computer 1 + 1 = 3 and then proceed to base calculations that means the (+ implies add 1 to the left sum) the computer would obviously say 1 + 2 = 4.

So how do we know that the computer is indeed accurate as all it is going by is the observable Universe as we know it right now. What it looks like is scientists these days look to shoe horn the answer into the computers output. E.g. work with the result to find the equation which is the wrong way.

I'm no mathematician, but the basic principles are pretty simple. If we understood mathematics so poorly that a mistake like that was possible now, then we'd have never developed anything like engineering in the first place. We know it works because it has never not worked, not ever since we first truly discovered the logic which mathematics represents. The problem you present seems to be one of notation rather than logic, anyway.

The thing is, nobody is insisting that we have the one, true right answer. What we have is the best answers available with our understanding and tools. What qualifies as the best is, and should be, subject to change with better understanding and more advanced tools. If you want to shake up things on the level you're suggesting, there's got to be a much better reason than "you can't categorically prove that these infinite other imaginable answers are wrong". The burden is on you to demonstrate that the foundations of mathematics, as we understand them, are flawed.

The answers we get are what repeated experimentation tells us. You should understand that perfectly well if you've ever debugged a program.

I mean, can I prove that I definitely won't drown in the process of walking to my mailbox? No, I can't. I'm still sure enough that it won't happen that it would be a waste of my time to climb into scuba gear in preparation for the journey.