ABSTRACT
Introduction: A Metaphor Mathematicians are still smiling over a gentle self-introduction by one of their famed members. “There are three kinds of mathematicians,” he said, “those that know how to count and those that don’t.” The audience waited in vain for the third kind until, with laughter and appreciation, they caught on. Either the member could not count to three — ridiculous — or he was someone who believed that there was more to mathematics than numbers, important as they were. The number theorists appreciated his acknowledgement of them. The “those that don’ts” quickly recognized him as one of their own, the likes of a Gödel who, using thought processes alone, showed that no set of theorems can ever be complete.
