Which is scarier-- lust or temptation?
Keep computations to the lowest level of the multiplication table.
In mathematics. . . we find two tendencies present. On the one hand, the tendency towards abstraction seeks to crystallise the logical relations inherent in the maze of materials. . . being studied, and to correlate the material in a systematic and orderly manner. On the other hand, the tendency towards intuitive understanding fosters a more immediate grasp of the objects one studies, a live rapport with them, so to speak, which stresses the concrete meaning of their relations.
Every mathematical discipline goes through three periods of development: the naive, the formal, and the critical.
As long as a branch of science offers an abundance of problems, so long it is alive; a lack of problems foreshadows extinction or the cessation of independent development.
Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts.
Geometry, like arithmetic, requires for its logical development only a small number of simple, fundamental principles. These fundamental principles are called the axioms of geometry.
The necessities of our condition require a thousand offices of tenderness, which mere regard for the species will never dictate.
When anyone asks me about the Irish character, I say look at the trees. Maimed, stark and misshapen, but ferociously tenacious.
I've always been very keen on Pascal, and what I'm most keen on in Pascal is his emphasis upon human wretchedness. He has a phrase which goes something like 'Anxiety, boredom and inconstancy, that is the human condition' and I've always been very partial to that.
I think that passion and love and pain are all bearable, and they go to make love beautiful.