“One can think of any given axiom system as being like a computer with ...” — Terence Tao Quote

“One can think of any given axiom system as being like a computer with a certain limited amount of memory or processing power. One could switch to a computer with even more storage, but no matter how large an amount of storage space the computer has, there will still exist some tasks that are beyond its ability.”

“I am still very fond of Australia, but my life is now in Los Angeles.”

“Research sometimes feels like an ongoing TV series in which some amazing revelations have already been made, but there are still plenty of cliff-hangers and unresolved plotlines that you want to see resolved. But unlike TV, we have to do the work ourselves to figure out what happens next.”

“I got a C in art when I was in 11th grade. That it is even possible to come out of a high school art class with a C is wondrous, especially considering the creative license we were encouraged to use to, for lack of a better axiom, color outside the lines.”

“Whatever is referred to must exist. Let us call this the axiom of existence.”

“The principal axiom in their theory was: Everything can be proved, and everything can be disproved; and in the process, one must profit as much from the folly of others, and from his own superiority, as he can.”