A quick way to innovate is to imagine.
If a number is a rule element object. Then could certain numbers have other rules?
I’m thinking. What if this is a problem of certainty. Somewhere in the universe this could still happen. I mean. It could be an important problem that leads to new innovation.
So I imagine the calculator device was expensive item. Somewhere it broke down. Producing some faulty results for some number. This could happen. The people could not afford a repair.
This leads to a guess sentence. Problems that are very likely to happen should lead to useful things. Useful in that other similar problems can be solved.
So if the number 5 has some problem. How many workarounds does there exist?
Could the mechanical calculator provide other problems that the computer chip based calculator usually don’t show.
For instance. A mechanical calculator could perhaps experience fatigue. Then if this is beneficial in some way. Could this be simulated for a computer.
Are there virtual fatigue concept in mathematics. Where the system has not broken down but has ?other rules.