Any person with an IQ of 120 can learn and reproduce Euclid's proof of the infinitude of primes, especially because most educated people have familiarity with t

Any person with an IQ of 120 can learn and reproduce Euclid's proof of the infinitude of primes, especially because most educated people have familiarity with the most elementary number theory concepts (divisibility, primality). Less than 1/10,000 of people with IQ > 120 could have come up with it at that time, keeping in mind that the only language one had to express numbers was geometry-- no algebra or number theory existed as we think of them today. Of course, whether this rare ingenuity shows up on an IQ test is an open question. The same holds for something like Godel's theorem. I'm starting to understand it-- he's encoding a Lisp in number theory-- but there's no way I could have come up with it in 1931.