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.
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).
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.