AXIOM OF COMPREHENSION


Meaning of AXIOM OF COMPREHENSION in English

< mathematics > 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.

(1995-03-31)

FOLDOC computer English dictionary.      Английский словарь по компьютерам FOLDOC.