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  Zermelo Fraenkel set theory – ZFC

Zermelo Fraenkel set theory   The standard set theory in which most mathematics is formalized. Its axioms include the pairing axiom, the power set axiom, the axiom of infinity, the axiom of extensionality, the axiom of replacement, the separation axiom, the union axiom, and the foundation axiom. Abbreviated ZF. When the axiom of choice is assumed, this theory is abbreviated ZFC.

zero ring   The ring with only one element, its additive identity.

zeta function   The function z(s) given by:


This function gives series representations of many significant numbers, e.g., z(2) = p2/6, and z(4) = p4/90.
Cf. Riemann Hypothesis.


ZF   See Zermelo Fraenkel set theory.

ZFC   Zermelo Fraenkel set theory with the axiom of choice.

 





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Zermelo Fraenkel set theory – ZFC



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