Barry Mazur quotes:

Mathematical objects are determined by - and understood by - the network of relationships they enjoy with all the other objects of their species.

The proof of Fermat's Last Theorem underscores how stable mathematics is through the centuries - how mathematics is one of humanity's long continuous conversations with itself.

There is an underlying timelessness in the basic conversation that is mathematics.

This is a wonderful book, unique and engaging. Diaconis and Graham manage to convey the awe and marvels of mathematics, and of magic tricks, especially those that depend fundamentally on mathematical ideas. They range over many delicious topics, giving us an enchanting personal view of the history and practice of magic, of mathematics, and of the fascinating connection between the two cultures. Magical Mathematics will have an utterly devoted readership.

Sometimes a line of mathematical research extending through decades can be thought of as one long conversation in which many mathematicians take part. This is fortunately true at present.

In the history of the concept of number has been adjective (three cows, three monads) and noun (three, pure and simple), and now ... number seems to be more like a verb (to triple).