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 days have outnumbered
my fingers and toes.
What can I count with now?”
Saying this,
the naive girl cries.”
—Hla Stavhana (c. 50 A.D.)
“The monotonous dead clog me up and there is only
black done in black that oozes from the strongbox.
I must disembowel it and then set the heart, the legs,
of two who were one upon a large woodpile
and ignite, as I was once ignited, and let it whirl
into flame....”
—Anne Sexton (1928–1974)
“We have our little theory on all human and divine things. Poetry, the workings of genius itself, which, in all times, with one or another meaning, has been called Inspiration, and held to be mysterious and inscrutable, is no longer without its scientific exposition. The building of the lofty rhyme is like any other masonry or bricklaying: we have theories of its rise, height, decline and fall—which latter, it would seem, is now near, among all people.”
—Thomas Carlyle (1795–1881)