Innermost Quotes (3 quotes)
Mathematics is the study of analogies between analogies. All science is. Scientists want to show that things that dont look alike are really the same. That is one of their innermost Freudian motivations. In fact, that is what we mean by understanding.
The calculus is to mathematics no more than what experiment is to physics, and all the truths produced solely by the calculus can be treated as truths of experiment. The sciences must proceed to first causes, above all mathematics where one cannot assume, as in physics, principles that are unknown to us. For there is in mathematics, so to speak, only what we have placed there If, however, mathematics always has some essential obscurity that one cannot dissipate, it will lie, uniquely, I think, in the direction of the infinite; it is in that direction that mathematics touches on physics, on the innermost nature of bodies about which we know little .
They who clamor loudest for freedom are often the ones least likely to be happy in a free society. The frustrated, oppressed by their shortcomings, blame their failure on existing restraints. Actually, their innermost desire is for an end to the free for all. They want to eliminate free competition and the ruthless testing to which the individual is continually subjected in a free society.