The child learns to believe a host of things. I.e. it learns to act according to these beliefs. Bit by bit there forms a system of what is believed, and in that system some things stand unshakeably fast and some are more or less liable to shift. What stands fast does so, not because it is intrinsically obvious or convincing; it is rather held fast by what lies around it.

You can't think decently if you're not willing to hurt yourself

The problems are solved, not by giving new information, but by arranging what we have always known.

Elementary propositions consist of names.

I Once wrote: "In mathematics process and result are equivalent."

An inner process stands in need of outward criteria.

A new word is like a fresh seed sown on the ground of the discussion.