Naive Set Theory

Halmos, Paul R

Naive Set Theory / Paul R Halmos - Mineola, New York : Dover Publications, @2017. - vii, 104 pages 22cm. - Dover Books on Mathematics. .

The axiom of extension --
The axiom of specification --
Unordered pairs --
Unions and intersections --
Complements and powers --
Ordered pairs --
Relations --
Functions --
Families --
Inverses and composites --
Numbers --
The Peano axioms --
Arithmetic --
Order --
The axiom of choice --
Zorn's lemma --
Well ordering --
Transfinite recursion --
Ordinal numbers --
Sets of ordinal numbers --
Ordinal arithmetic --
The Schröder-Bernstein theorem --
Countable sets --
Cardinal arithmetic --
Cardinal numbers.

9780486814872

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Mathematics
Algebra
Set theory.
Arithmetic -- Foundations.
Relations
Functions

512.817 HAL
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