Babbage, even with remarkably generous support for his time, could not produce his great arithmetical machine. His idea was sound enough, but constru… - Vannevar Bush

Two centuries ago Leibnitz invented a calculating machine which embodied most of the essential features of recent keyboard devices, but it could not then come into use. The economics of the situation were against it: the labor involved in constructing it, before the days of mass production, exceeded the labor to be saved by its use, since all it could accomplish could be duplicated by sufficient use of pencil and paper. Moreover, it would have been subject to frequent breakdown, so that it could not have been depended upon; for at that time and long after, complexity and unreliability were synonymous.

A mathematician is not a man who can readily manipulate figures; often he cannot. He is not even a man who can readily perform the transformation of equations by the use of calculus. He is primarily an individual who is skilled in the use of symbolic logic on a high plane, and especially he is a man of intuitive judgment in the choice of the manipulative processes he employs.

They felt that all boys and girls should be able to feel that, if they have what it takes, there is no limit to the opportunity. A ceiling should not be imposed on a young person’s educational opportunities either by limited family means or negative family attitudes.