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.

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.

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

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

Arithmetic has began to totter.

Why do I feel like this is our destiny. There must be a reason why we have become our characters.

In fine, that it is not enough to be good, without behaving in such a manner as shall make others acknowledge us to be so.

Violent means will give violent freedom. That would be a menace to the world and to India herself.

Quantum field theory arose out of our need to describe the ephemeral nature of life.

We keep asking for answers; God keeps sending us people.

If you are alive, there is hope for a better day and something good to happen. If there is nothing good left in the destiny of a person, he or she will die.

One of the great things about drama is that it makes you feel like you're not a crackpot, and that there are other people who think and feel the way you do.

Culture stereotypes women to fit the myth by flattening the feminine into beauty-without-intelligence or intelligence-without-beauty; women are allowed a mind or a body but not both.

If I become the most popular author in jump, please give me the right to end one manga I hate.

The more men, generally speaking, will do for a Dollar when they make it, the more that Dollar will do for them when they spend it.