Computer Dictionary Online

Medical Dictionary   Law Dictionary   Legal Dictionary   Website Design

0  1  2  3  4  5  6  7  8  9  a  b  c  d  e  f  g  h  i  j  k  l  m  n  o  p  q  r  s  t  u  v  w  x  y  z 

Zermelo Fränkel set theory

<mathematics> 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.


Contact the Computer Dictionary Online  ::  Link to the Computer Dictionary Online  ::  Disclaimer for Computer Dictionary Online

Computer Dictionary Online
Copyright © 2018