Paul Erdos Quotes

The chaos can act as a magnifier of quantum fluctuations so that they can produce sizable effects in the world around us. But we know that that can happen often.

The universe is governed by science. But science tells us that we can't solve the equations, directly in the abstract.

For every action, there's an infinity of outcomes. Countless trillions are possible, many milliards are likely, millions might be considered probable, several occur as possibilities to us as observers - and one comes true.

While in theory randomness is an intrinsic property, in practice, randomness is incomplete information.

God does not play dice.

If we look at the way the universe behaves, quantum mechanics gives us fundamental, unavoidable indeterminacy, so that alternative histories of the universe can be assigned probability.

It is impossible to trap modern physics into predicting anything with perfect determinism because it deals with probabilities from the outset.

Math is sometimes called the science of patterns.

I shall never believe that God plays dice with the world.

Quantum physics is a bit of a passion of mine. It's extraordinary. There's a branch of mathematics that is based on lunacy, and that's wonderful.

If God has made the world a perfect mechanism, He has at least conceded so much to our imperfect intellect that in order to predict little parts of it, we need not solve innumerable differential equations, but can use dice with fair success.

How dare we speak of the laws of chance? Is not chance the antithesis of all law?

Of Belief Human mathematics, so to speak, like the length of life, are subject to the doctrine of chances.

God throws dice, what can I say?

All thoughts emit a throw of dice

The world becomes an apparently infinite, yet possibly finite, card game. Image combinations, permutations, comprise the world game.

Prime numbers are what is left when you have taken all the patterns away. I think prime numbers are like life. They are very logical but you could never work out the rules, even if you spent all your time thinking about them.

Nature never uses prime numbers. But mathematicians do.

I work in string theory. This is a branch of physics which assumes that the elementary objects in the universe are not particles but one-dimensional objects, that is, strings.

So Einstein was wrong when he said, "God does not play dice." Consideration of black holes suggests, not only that God does play dice, but that he sometimes confuses us by throwing them where they can't be seen.

In its efforts to learn as much as possible about nature, modern physics has found that certain things can never be "known" with certainty. Much of our knowledge must always remain uncertain. The most we can know is in terms of probabilities.

Numbers written on restaurant bills within the confines of restaurants do not follow the same mathematical laws as numbers written on any other pieces of paper in any other parts of the Universe. This single fact took the scientific world by storm.

In mathematics, as in physics, so much depends on chance, on a propitious moment.

I do not believe that the Good Lord plays dice.

What we call chaos is just patterns we haven’t recognized. What we call random is just patterns we can't decipher.