But at the same time if we would collect all the uncertainties in our models/simulations/calculations etc in a variable u. What happens as u->0 ? Shouldn’t the gap between 2 and 3 go to zero? That would mean that enough knowledge about a technology is equivalent to actually possessing the technology.
All the uncertainties? If we had infinite evidence that the implementation will work the way you want it to then you could do this. So in this case “enough knowledge” effectively means infinite knowledge—everything about the construction process down to the quantum level and all of the (infinitely many) logical implications of your evidence. Actually, you arguably need more than that to make u go to 0.
So the conclusion ends up being that having infinite knowledge about everything that might affect the implementation is equivalent to having the technology. That doesn’t hold at all. If you knew that much about the implementation and all the related issues you would have vastly more power at your disposal than if you just had access to a sensible plan that happens to work (even though you’re not 100% certain about its soundness).
All the uncertainties? If we had infinite evidence that the implementation will work the way you want it to then you could do this. So in this case “enough knowledge” effectively means infinite knowledge—everything about the construction process down to the quantum level and all of the (infinitely many) logical implications of your evidence. Actually, you arguably need more than that to make u go to 0.
So the conclusion ends up being that having infinite knowledge about everything that might affect the implementation is equivalent to having the technology. That doesn’t hold at all. If you knew that much about the implementation and all the related issues you would have vastly more power at your disposal than if you just had access to a sensible plan that happens to work (even though you’re not 100% certain about its soundness).