A scientist is never certain. ... We absolutely must leave room for doubt or there is no progress and there is no learning.
Richard P. FeynmanMathematics is a language plus reasoning. It's like a language plus logic. Mathematics is a tool for reasoning.
Richard P. FeynmanOne of the ways of stopping science would be only to do experiments in the region where you know the law. But experimenters search most diligently, and with the greatest effort, in exactly those places where it seems most likely that we can prove our theories wrong. In other words, we are trying to prove ourselves wrong as quickly as possible, because only in that way can we find progress.
Richard P. Feynman