Strange! I don't understand how it is that we can write mathematical expressions and calculate what the thing is going to do without being able to picture it.

The problem of creating something new, but which is consistent with everything which has been seen before, is one of extreme difficulty.

Mathematics is a language plus reasoning. It's like a language plus logic. Mathematics is a tool for reasoning.

The other thing that gives a scientific man the creeps in the world today are the methods of choosing leaders - in every nation. Today, for example, in the United States, the two political parties have decided to employ public relations men, that is, advertising men, who are trained in the necessary methods of telling the truth or lying in order to develop a product.

What is not surrounded by uncertainty cannot be the truth.

I can live with doubt and uncertainty and not knowing. I think it is much more interesting to live not knowing than to have answers that might be wrong. If we will only allow that, as we progress, we remain unsure, we will leave opportunities for alternatives. We will not become enthusiastic for the fact, the knowledge, the absolute truth of the day, but remain always uncertain … In order to make progress, one must leave the door to the unknown ajar.

If you keep proving stuff that others have done, getting confidence, increasing the complexities of your solutions - for the fun of it - then one day you'll turn around and discover that nobody actually did that one! And that's the way to become a computer scientist.