Also note that a significant number of humans would fail the kind of test you described (inducing the behavior of a novel mathematical operation from a relatively small number of examples), which is why similar tests of inductive reasoning ability show up quite often on IQ tests and the like. It’s not the case that failing at that kind of test shows a lack of general reasoning skills, unless we permit that a substantial fraction of humans lack general reasoning skills to at least some extent.
Also note that a significant number of humans would fail the kind of test you described (inducing the behavior of a novel mathematical operation from a relatively small number of examples), which is why similar tests of inductive reasoning ability show up quite often on IQ tests and the like. It’s not the case that failing at that kind of test shows a lack of general reasoning skills, unless we permit that a substantial fraction of humans lack general reasoning skills to at least some extent.