The thing with mathematics is we keep thinking about how things work. — Mathematics

"As soon as a thought or word becomes a tool, one can dispense with actually ‘thinking’ it, that is, with going through the logical acts involved in verbal formulation of it. As has been pointed out, often and correctly, the advantage of mathematics—the model of all neo-positivistic thinking—lies in just this ‘intellectual economy.’ Complicated logical operations are carried out without actual performance of the intellectual acts upon which the mathematical and logical symbols are based. … Reason … becomes a fetish, a magic entity that is accepted rather than intellectually experienced."

"Mathematics may be compared to a mill of exquisite workmanship, which grinds your stuff of any degree of fineness; but, nevertheless, what you get out depends upon what you put in; and as the grandest mill in the world will not extract wheat flour from peascods, so pages of formulæ will not get a definite result out of loose data."

"In doing mathematics, I express something personal. It is a source of joy to know that, despite this personal aspect, the fruit of my work can be of interest to other mathematicians."

"If a religion is defined to be a system of ideas that contains unprovable statements, then Gödel taught us that mathematics is not only a religion, it is the only religion that can prove itself to be one."

"It might have been beans, successful hunts, or victories in battle, but, for millennia, people were using maths to describe things - counting them, measuring them, dividing them up."

"“There’s more to life than mathematics,” Joan said. “But not much more.”"

"I should say that when people talk about capitalism its a bit of a joke. Theres no such thing. No country, no business class, has ever been willing to subject itself to the free market, free market discipline. Free markets are for others. Like, the Third World is the Third World because they had free markets rammed down their throat. Meanwhile, the enlightened states, England, the United States, others, resorted to massive state intervention to protect private power, and still do. Thats right up to the present. I mean, the Reagan administration for example was the most protectionist in post-war American history. Virtually the entire dynamic economy in the United States is based crucially on state initiative and intervention: computers, the internet, telecommunication, automation, pharmaceutical, you just name it. Run through it, and you find massive ripoffs of the public, meaning, a system in which under one guise or another the public pays the costs and takes the risks, and profit is privatized. Thats very remote from a free market. Free market is like what India had to suffer for a couple hundred years, and most of the rest of the Third World."

"He, who begins by loving Christianity better than Truth, will proceed by loving his own Sect or Church better than Christianity, and end in loving himself better than all."

"I believe that the unity of man as opposed to other living things derives from the fact that man is the conscious life of himself. Man is conscious of himself, of his future, which is death, of his smallness, of his impotence; he is aware of others as others; man is in nature, subject to its laws even if he transcends it with his thought."

"You cant manage yourself, Root. How do you expect to manage others?"

"Do not try to make the brilliant pupil a replica of yourself."

"I believe that man is in the last resort so free a being that his right to be what he believes himself to be cannot be contested."