Naive Set Theory is a mathematics textbook by Paul Halmos originally published in 1960. This book is an undergraduate introduction to not-very-naive set theory. It is still considered by many to be the best introduction to set theory for beginners. While the title states that it is naive, which is usually taken to mean without axioms, the book does introduce all the axioms of Zermelo–Fraenkel set theory and gives correct and rigorous definitions for basic objects. Where it differs from a "true" axiomatic set theory book is its character: there are no long-winded discussions of axiomatic minutiae, and there is next to nothing about advanced topics like large cardinals. Instead, it tries to be intelligible to someone who has never thought about set theory before.
Famous quotes containing the words naive, set and/or theory:
“The naive notion that a mother naturally acquires the complex skills of childrearing simply because she has given birth now seems as absurd to me as enrolling in a nine-month class in composition and imagining that at the end of the course you are now prepared to begin writing War and Peace.”
—Mary Kay Blakely (20th century)
“Who shall set a limit to the influence of a human being? There are men, who, by their sympathetic attractions, carry nations with them, and lead the activity of the human race. And if there be such a tie, that, wherever the mind of man goes, nature will accompany him, perhaps there are men whose magnetisms are of that force to draw material and elemental powers, and, where they appear, immense instrumentalities organize around them.”
—Ralph Waldo Emerson (1803–1882)
“Frankly, these days, without a theory to go with it, I can’t see a painting.”
—Tom Wolfe (b. 1931)