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Meaning of AXIOM OF COMPREHENSION

 
Computing Dictionary
 
 Definition: 

An axiom schema of set theory which states: if P(x) is a property then

        x : p

is a set. I.e. all the things with some property form a set.

Acceptance of this axiom leads to russell's paradox which is why zermelo set theory replaces it with a restricted form.

 

 

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