No arts； no letters； no society； and which is worst of all， continual fear and danger of violent death； and the life of man， solitary， poor， nasty， brutish， and short.
Mathematics is not a deductive science—that's a cliché. When you try to prove a theorem, you don't just list the hypotheses and then start to reason. What you do is trial and error, experimentation, guesswork.
