Axiom of Infinity
المؤلف:
Enderton, H. B
المصدر:
Elements of Set Theory. New York: Academic Press, 1977.
الجزء والصفحة:
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18-2-2022
682
Axiom of Infinity
The axiom of Zermelo-Fraenkel set theory which asserts the existence of a set containing all the natural numbers,
where 
denotes exists, 
is the empty set, 
is logical AND, 
means for all, and 
denotes "is an element of" (Enderton 1977). Following von Neumann, 
, 
, 
, 
, ....
REFERENCES
Enderton, H. B. Elements of Set Theory. New York: Academic Press, 1977.
Itô, K. (Ed.). "Zermelo-Fraenkel Set Theory." §33B in Encyclopedic Dictionary of Mathematics, 2nd ed., Vol. 1. Cambridge, MA: MIT Press, pp. 146-148, 1986.
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