... the atlas is a manifold. This is a typical mathematician's use of the word "is", and should not be confused with the normal use.

This attitude [the abstract method in mathematics] can be encapsulated in the following slogan: a mathematical object is what it does.

It is obvious that mathematics needs both sorts of mathematicians, theory-builders and problem-solvers.

Although the prime numbers are rigidly determined, they somehow feel like experimental data.

Here is something Category-Theorists like: it is trivial, but not trivially trivial.

The reason you were born is for a purpose

He plants trees to benefit another generation.

The Saudi government's denial of basic rights to women is not only wrong, it hurts Saudi Arabia's economic development, modernization and prosperity.

I go into a meditative state but I don't follow a path that people who meditate take, like sitting in a room and getting quiet. It is when I swim that I meditate.

Empty?! You took all the cookies!" "They were crying to get out of the jar... Cookies get claustrophobia too, you know!

Ya'll know what you need to do? Get together, make a We Are The World record.

I think wardrobe is a really important part of making a movie and developing the character.

I'm probably the most militant person you'll ever meet and I speak my mind without provocation sometimes.

His head just disappeared into his shoulders.

Growing up, watching the Premier League as far back as I can remember, feeling the trophy and having the medal around my neck was an unbelievable feeling.