Word:

Zermelo Fränkel set theory

(mathematics)Zermelo Fränkel set theory - A set theory with the axioms of Zermelo set theory (Extensionality, Union, Pair-set, Foundation, Restriction, Infinity, Power-set) plus the Replacement axiom schema:

If F(x,y) is a formula such that for any x, there is a unique y making F true, and X is a set, then

F x : x in X

is a set. In other words, if you do something to each element of a set, the result is a set.

An important but controversial axiom which is NOT part of ZF theory is the Axiom of Choice.
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Zeolitiform
Zeomorphi
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Zephaniah
Zephyr
Zephyr cloth
Zephyr shawl
Zephyr yarn
Zephyrus
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ZEPRAS
zepto
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-- Zermelo Fränkel set theory --
Zermelo set theory
Zero
Zero and Add Packed
zero assignment
zero coupon bond
zero hour
zero in
Zero Insertion Force
Zero method
zero point
zero tolerance
zero-content
zero-coupon bond
zero-coupon security
zero-sum game
zero-tolerance policy
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