Point set topology is a disease from which the human race will soon recover.

Thought must never submit, neither to a dogma, nor to a party, nor to a passion, nor to an interest, nor to a preconceived idea, nor to whatever it may be, save to the facts themselves, because, for thought, submission would mean ceasing to be.

What is it indeed that gives us the feeling of elegance in a solution, in a demonstration?

Doubting everything and believing everything are two equally convenient solutions that guard us from having to think

Point set topology is a disease from which the human race will soon recover.

[T]he different branches of Arithmetic - Ambition [G]eometry is not true, it is advantageous.

A scientist worthy of his name, about all a mathematician, experiences in his work the same impression as an artist; his pleasure is as great and of the same nature.