I am infallible in exactly one way

By simply applying Frege’s principle of compositionality to the ordinary meaning of these three terms: [categorically* exhaustive reasoning]

a system of logical reasoning that cannot possibly commit the error of omission and necessarily discovers every possible analytical detail of the object of its investigation (limited subject domain omniscience) is logically entailed.

*In traditional logic (that is, the tradition that started with Aristotle), a categorical proposition is one that affirms or denies a predicate of a subject. That is, a categorical proposition says “A is B” or “A is not B”.