Capable of being generated, produced, or brought into existence.
From Latin 'generare' (to beget, produce) plus '-able' (suffix meaning capable of). Entered English as a technical term in philosophy and science to describe what can be created.
In math class, a 'generable' set is one you can actually create through specific rules—but 'generability' became especially important in computer science where it determines if a problem is actually solvable!
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