👉 In the context of mathematics, a "unproducible" object or concept is one that cannot be produced in any way. For example, if we consider the set of natural numbers with addition and multiplication operations, it is not possible to add two numbers together without using either addition or multiplication at all, because these operations are unproducible. Similarly, if we define a function from the real numbers to the integers by taking an element x of the reals and applying the operation f(x) =