Most writers on the subject seem to agree that the typical working mathematician is a Platonist on weekdays and a formalist on Sundays.

- Philip J. Davis

The inner circle of pure mathematicians will respond to the book with delight.

- Philip J. Davis

One of the endlessly alluring aspects of mathematics is that its thorniest paradoxes have a way of blooming into beautiful theories.

- Philip J. Davis

One began to hear it said that World War I was the chemists' war, World War II was the physicists' war, World War III (may it never come) will be the…

- Philip J. Davis

In the realm of ideas, of mental objects, those ideas whose properties are reproducible are called mathematical objects, and the study of mental obje…

- Philip J. Davis

Blindness to the aesthetic element in mathematics is widespread and can account for a feeling that mathematics is dry as dust, as exciting as a telep…

- Philip J. Davis

The numbers are a catalyst that can help turn raving madmen into polite humans.

- Philip J. Davis