ABSTRACT

Mathematical truths (which are always proofs because, as mentioned previously, there is no “probably” in pure mathematics) are truths that are certain. We know, because it has been proved, that we will never find a triangle on a plane in which the sum of the three angles is not 180 degrees. (There are, it must be acknowledged, some mathematicians who argue for acceptance of “extraordinarily likely” hypotheses—not merely as clues leading to proofs, but as valid on their own. Most mathematicians hate this.)