In other localities certain places in the streams are much better than others, but at Niagara one place is just as good as another, for the reason that the fish do not bite anywhere.
You will be right, over the course of many transactions, if your hypotheses are correct, your facts are correct, and your reasoning is correct. True conservatism is only possible through knowledge and reason.
But there is another reason for the high repute of mathematics: it is mathematics that offers the exact natural sciences a certain measure of security which, without mathematics, they could not attain.