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

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.

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

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.

Everywhere I travel to, there is my home.

I don't think anything lives up to what you envisioned.

A colleague once told me that the world was full of bad security systems designed by people who read Applied Cryptography

Toil of science swells the wealth of art.

I don't want to get involved in the culture war. Religion's iffy.

The goal of an effective leader is to recondition your team to be solution focused rather than problem focused.

Theories by women about women have only recently begun to appear in print. Theories by men about women are abundant.

Every dream I've ever had in life has come true ten times over.

Religion is against women's rights and women's freedom. In all societies women are oppressed by all religions.

I always looked upon the acts of racist exclusion, or insult, as pitiable, from the other person. I never absorbed that. I always thought that there was something deficient about such people.