Mathematics is a language plus reasoning. It's like a language plus logic. Mathematics is a tool for reasoning.
Richard P. FeynmanWe are trying to prove ourselves wrong as quickly as possible, because only in that way can we find progress.
Richard P. FeynmanWhen a Caltech student asked the eminent cosmologist Michael Turner what his "bias" was in favoring one or another particle as a likely candidate to compromise dark matter in the universe, Feynmann snapped, "Why do you want to know his bias? Form your own bias!"
Richard P. FeynmanIf you keep proving stuff that others have done, getting confidence, increasing the complexities of your solutions - for the fun of it - then one day you'll turn around and discover that nobody actually did that one! And that's the way to become a computer scientist.
Richard P. FeynmanIt is our responsibility as scientists, knowing the great progress which comes from a satisfactory philosophy of ignorance, the great progress which is the fruit of freedom of thought, to proclaim the value of this freedom; to teach how doubt is not to be feared but welcomed and discussed; and to demand this freedom as our duty to all coming generations.
Richard P. Feynman