Proof Quotes

“The movement of the plane of oscillation of the pendulum is a real, mechanical, and visible proof of the rotation of the Earth.”

“You can have the most beautiful proof, but if it's for a trivial problem, it's not going to get you anywhere.”

“Those who claim to discover everything but produce no proofs of the same may be confuted as having actually discovered nothing at all.”

“You cannot prove a negative.”

“An algorithm must be seen to be believed.”

“What is proved by impossibility proofs is lack of imagination.”

“A modern mathematical proof is not very different from a modern symphony.”

“We are not very pleased when we are forced to accept a mathematical truth by virtue of a complicated chain of formal conclusions and computations, which we traverse blindly, link by link, feeling our way by touch.”

“Euclid taught me that without assumptions there is no proof. Therefore, in any argument, examine the assumptions.”

“Reductio ad absurdum, which Euclid loved so much, is one of a mathematician's finest weapons.”

“If you don't have a test, you have an opinion.”

“You can't just throw out accusations without evidence.”

“However, the fact that we were able to demonstrate that RNA was a catalyst in a test tube was not sufficient.”

“The strongest arguments prove nothing so long as the conclusions are not verified by experience.”

“A witty saying proves nothing.”

“I have stated my case, presented my proofs. I have nothing more to say.”

“A mathematician's work is mostly a tangle of guesswork, analogy, wishful thinking and frustration, and proof, far from being the core of discovery, is more often than not a way of making sure that our minds are not playing tricks.”

“Absence of evidence is not evidence of absence.”

“You don't have to believe in God, but you should believe in The Book.”

“What has been asserted without proof can be denied without proof.”