Stagnate Quotes (3 quotes)
Many people are shrinking from the future and from participation in the movement toward a new, expanded reality. And, like homesick travelers abroad, they are focusing their anxieties on home. The reasons are not far to seek. We are at a turning point in human history. … We could turn our attention to the problems that going to the moon certainly will not solve … But I think this would be fatal to our future. … A society that no longer moves forward does not merely stagnate; it begins to die.
In 'Man On the Moon' (1969) collected in Margaret Mead and Robert B. Textor (ed.), The World Ahead: An Anthropologist Anticipates the Future (2005), 248. The original magazine article was written shortly before the first Moon landing for the lay public, in Redbook (Jun 1969). It was later reprinted in the Congressional Record—Senate (30 Jun 1969), 17725-17726.
Nothing tends so much to the corruption of science as to suffer it to stagnate; these waters must be troubled before they can exert their virtues.
From 'A Philosophical Enquiry into the Origin Of Our Ideas of the Sublime and Beautiful' collected in The Works of the Right Honorable Edmund Burke (1756), 87.
Undoubtedly, the capstone of every mathematical theory is a convincing proof of all of its assertions. Undoubtedly, mathematics inculpates itself when it foregoes convincing proofs. But the mystery of brilliant productivity will always be the posing of new questions, the anticipation of new theorems that make accessible valuable results and connections. Without the creation of new viewpoints, without the statement of new aims, mathematics would soon exhaust itself in the rigor of its logical proofs and begin to stagnate as its substance vanishes. Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs.
As quoted in Hermann Weyl, Unterrichtsblätter für Mathematik und Naturwissenschaften (1932), 38, 177-188. As translated by Abe Shenitzer, in 'Part I. Topology and Abstract Algebra as Two Roads of Mathematical Comprehension', The American Mathematical Monthly (May 1995), 102, No. 7, 453.
In science it often happens that scientists say, 'You know that's a really good argument; my position is mistaken,' and then they would actually change their minds and you never hear that old view from them again. They really do it. It doesn't happen as often as it should, because scientists are human and change is sometimes painful. But it happens every day. I cannot recall the last time something like that happened in politics or religion.
(1987) -- 
