In the realm of ideas, of mental objects, those ideas whose properties are reproducible are called mathematical objects, and the study of mental objects with reproducible properties is called mathematics. — Philip J. Davis Copy Share Image
In the realm of ideas, of mental objects, those ideas whose properties are reproducible are called mathematical objects, and the study of mental objects… — Philip J. Davis Copy Share Image
One of the endlessly alluring aspects of mathematics is that its thorniest paradoxes have a way of blooming into beautiful theories. — Philip J. Davis Copy Share Image
The numbers are a catalyst that can help turn raving madmen into polite humans. — Philip J. Davis Copy Share Image
The inner circle of pure mathematicians will respond to the book with delight. — Philip J. Davis Copy Share Image
Blindness to the aesthetic element in mathematics is widespread and can account for a feeling that mathematics is dry as dust, as exciting as… — Philip J. Davis Copy Share Image
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 Copy Share Image
One began to hear it said that World War I was the chemists' war, World War II was the physicists' war, World War III… — Philip J. Davis Copy Share Image
