The werent constructed as much as they were discovered. Discovered while trying to figure out the workings of the universe.
Fir example we have a simple solvable problem to convert metric to imperial measurements. On the other hand gravity governing all the matter in the universe in a well understood way dosent work, cant be converted or translated to the quantium level. This results in math problems that cannot yet be solved. This problem wasnt constructed. It was drilled down to through many solvable problems until found and they got stuck.
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