You have done a pretty good description of the situation (let's call it data ) But we can take a look to the reason ( the code )
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calculus
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“scientific method”
Are these two possible whitout the elusive zero? You can have some basic geometry (ask Pitagoras, althougt not Roman), but no algebra. I absolutely agree with the print machine. This one does need great math to be developed, and plays a main role in the science. The reason of this post is that many times people mistakes existence and reality. Zero, as well as space lacks existence ( no mass, no energy, no information ) but both overflow reality.