Faculty Quotes - page 2
Let us imagine that the aboriginal-original human specimen was one of two brother apes, A and B; they were alike in every respect; both were animal space-binders; but something strange happened to B; he became the first time-binder, a human. ... He had thus a new faculty, he belonged to a new dimension; but, of course, he did not realize it; and because he had this new capacity he was able to analyze his brother "A"; he observed "A is my brother; he is an animal; but he is my brother; therefore, I AM AN ANIMAL." This fatal first conclusion, reached by false analogy, by neglecting a fact, has been the chief source of human woe for half a million years and it still survives. ... He [then] said to himself, "If I am an animal there is also in me something higher, a spark of some thing supernatural."
Alfred Korzybski
Mathematics is a presuppositionless science. To found it I do not need God, as does Kronecker, or the assumption of a special faculty of our understanding attuned to the principle of mathematical induction, as does Poincaré, or the primal intuition of Brouwer, or, finally, as do Russell and Whitehead, axioms of infinity, reducibility, or completeness, which in fact are actual, contentual assumptions that cannot be compensated for by consistency proofs.
David Hilbert