The Study of Absolutely Necessary Truths

Mathematicians have blundered into these mistakes, and their inability to acknowledge even the possibility of error in these matters are connected with an ancient and widespread confusion between the methods of he and its subject matter. The objective of mathematics is not and cannot be mathematical certainty. It is not even mathematical truth certain or otherwise it is and must be mathematical explanation. Next is my favourite line of the entire chapter, and certainly up there with a one of my favourite lines out of both books. David writes, necessary truth is merely the subject matter of mathematics, not the reward we get for doing mathematics. I love that. And i think i've quoted it a hundred times.