The aim of scientific work is truth. While we internally recognise something as true, we judge, and while we utter judgements, we assert.

Every good mathematician is at least half a philosopher, and every good philosopher is at least half a mathematician.

...one can hardly deny that mankind has a common store of thoughts which is transmitted from one generation to another.

The thought: A logical inquiry

I compare arithmetic with a tree that unfolds upwards in a multitude of techniques and theorems while the root drives into the depths.

There is more danger of numerical sequences continued indefinitely than of trees growing up to heaven. Each will some time reach its greatest height.

Your discovery of the contradiction caused me the greatest surprise and, I would almost say, consternation, since it has shaken the basis on which I intended to build my arithmetic.

What are numbers? What is the nature of arithmetical truth?

Arithmetic has began to totter.

Love has nothing to do with what you are expecting to get - only with what you are expecting to give - which is everything

That's depressing, when somebody says "please" to you.

... to die on a kitchen floor at 7 o'clock in the morning while other people are frying eggs is not so rough unless it happens to you.

The great truth about Christianity is not that we love God - it's that God loves us.

Setbacks have an upside; they fuel new dreams.

Whatever you think in life... think higher and feel deeper.

It is easier to look the other way. But if you do, terrible things can happen.

I daresay I was the worst bed partner in five continents.

I believe in benevolent dictatorship provided I am the dictator.

It seems to me now that the deep structures [in writing] are often subconscious and set in childhood.