“Winning doesn't necessarily mean you're right. History will be a better judge of that. But that's the beauty of democracy — you believe what you believe, I believe what I believe, and as long as we're not hurting each other, that's fine. Placing a value judgement on a person's beliefs has no place in a democracy.”

2016, United Nations Address (September 2016)

Variant: I don't believe in guilt, I believe in living on impulse as long as you never intentionally hurt another person, and don't judge people in your life. I think you should live completely free...

In response to a question concerning Bush stating two months prior "Absolutely we're winning" in Iraq and then saying in the Washington Post "We're not winning, we're not losing." Press Conference http://georgewbush-whitehouse.archives.gov/news/releases/2006/12/20061220-1.html from the White House Indian Treaty Room (December 20, 2006)
2000s, 2006

Variant transcription from "Death of a Genius" in Life Magazine: "Certainly there are things worth believing. I believe in the brotherhood of man and the uniqueness of the individual. But if you ask me to prove what I believe, I can't. You know them to be true but you could spend a whole lifetime without being able to prove them. The mind can proceed only so far upon what it knows and can prove. There comes a point where the mind takes a leap—call it intuition or what you will—and comes out upon a higher plane of knowledge, but can never prove how it got there. All great discoveries have involved such a leap."
Unsourced variant: "The intellect has little to do on the road to discovery. There comes a leap in consciousness, call it intuition or what you will, and the solution comes to you and you do not know how or why. All great discoveries are made in this way." The earliest published version of this variant appears to be The Human Side of Scientists by Ralph Edward Oesper (1975), p. 58 http://books.google.com/books?id=-J0cAQAAIAAJ&q=%22solution+comes+to+you+and+you+do+not+know%22&dq=%22solution+comes+to+you+and+you+do+not+know%22&hl=en, but no source is provided, and the similarity to the "Life Magazine" quote above suggests it's likely a misquote.
Source: Attributed in posthumous publications, Einstein and the Poet (1983), p. 136

Lee Kuan Yew, Legislative Assembly Debates, April 27, 1955
1950s

Knowing Yourself: The True in the False (1996)

Associated Press (June 13, 2008) "Clean Sweep - Capitals' Sensation, Ovechkin, Captures Hart and Pearson", Pittsburgh Post-Gazette, p. D-6.

Psychedelic Society (1984)
Context: What blinds us, or what makes historical progress very difficult, is our lack of awareness of our ignorance. And [I think] that beliefs should be put aside, and that a psychedelic society would abandon belief systems [in favor of] direct experience and this is, I think much, of the problem of the modern dilemma, is that direct experience has been discounted and in its place all kind of belief systems have been erected... If you believe something, you're automatically precluded from believing in the opposite, which means that a degree of your human freedom has been forfeited in the act of this belief.