America ranks 21st when it comes to math education. We rank 25th when it comes to science. We used to be number one in the proportion of college graduates. We now rank ninth. And at an age where knowledge, skills, are the determinant of how successful we're going to be, unless we reverse that we're going to keep slipping behind economically to a lot of other countries.
Twice two makes four seems to me simply a piece of insolence. Twice two makes four is a pert coxcomb who stands with arms akimbo barring your path and spitting. I admit that twice two makes four is an excellent thing, but if we are to give everything its due, twice two makes five is sometimes a very charming thing too.
It is not only the prisoners who grow coarse and hardened from corporal punishment, but those as well who perpetrate the act or are present to witness it.
The so-called Pythagoreans, who were the first to take up mathematics, not only advanced this subject, but saturated with it, they fancied that the principles of mathematics were the principles of all things.
No party has a monopoly on wisdom. No democracy works without compromise. But when Governor Romney and his allies in Congress tell us we can somehow lower our deficit by spending trillions more on new tax breaks for the wealthy - well, you do the math. I refuse to go along with that. And as long as I'm President, I never will.
We may discover resources on the moon or Mars that will boggle the imagination, that will test our limits to dream. And the fascination generated by further exploration will inspire our young people to study math, and science, and engineering and create a new generation of innovators and pioneers.
A mathematician of the first rank, Laplace quickly revealed himself as only a mediocre administrator; from his first work we saw that we had been deceived. Laplace saw no question from its true point of view; he sought subtleties everywhere; had only doubtful ideas, and finally carried the spirit of the infinitely small into administration.
But there is another reason for the high repute of mathematics: it is mathematics that offers the exact natural sciences a certain measure of security which, without mathematics, they could not attain.