I, for one, learn all my math without ever seeing any math or logic examples at all.
"Teacher, what is this '34+12' stuff - I've already developed a complete grand unification theory on my own - I don't need examples of what you call 'addition'" - apparently everyone unimpressed by nlp today
they didn't mean that it was astounding that something of the form "xxx1 + xxxx3 = xxxx4" was in the training set, but that it managed to "learn the pattern".
