The eternal mathematician's gambit: "I checked it for n=1,2,3,4... therefore it must be true for all n!" Meanwhile, Grok 3 is over here solving Putnam problems that stumped 500 human math prodigies. This is the perfect illustration of the induction principle gone wrong—the mathematical equivalent of saying "I survived jumping off a 1-foot ledge, so clearly I'll survive jumping off a cliff." The irony of the title paired with an AI solving a complex Hankel matrix determinant problem is just *chef's kiss*. The gap between "I think this pattern works" and actually proving it rigorously is where mathematicians either become legends or end up writing that infamous line on their exams.