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.

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.

God is never early and never late.

The more grateful we feel, the more things we receive to feel grateful for. The more loved we feel, the more love we receive. The more beautiful we feel, the more attractive we become.

The world is complex, dynamic, multidimensiona l; the paper is static, flat. How are we to represent the rich visual world of experience and measurement on mere flatland?

Children can find other children to be pals. Children need fathers to be fathers.

Persistence only proves persistence-it does not prove love. The fact that a romantic pursuer is relentless doesn't mean you are special-it means he is troubled.

The best way to truly understand narrative art is to experience it.

There is no greater method for experiencing peace of mind and happiness than to understand and meditate on Emptiness.

I lived with a coffee farmer called Dukale on a trip I made with World Vision to Ethiopia, and realised there's no good reason for the disparity in opportunity around the world.

Behind me is infinite power, before me is endless possibility, around me is boundless opportunity.

If you would test the character of anything, you only need to enquire whether that thing leads you to God or away from God.