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However, in some non-standard model of [[Peano Arithmetic]], ∞ is treated as an actual number.

However, in some non-standard model of [[Peano Arithmetic]], ∞ is treated as an actual number.

In [[Zermelo-Fraenkel]] set theory, one must assert that an infinite set exists. This is known as the [[Axiom of Infinity]]. Constructive mathematicians and practicians of [[elementary technique]]s deny this axiom believing that the world and human thought are necessarily [[finite]].

In [[Zermelo-Fraenkel]] set theory, one must assert that an infinite set exists. This is known as the [[Axiom of Infinity]]. Constructive mathematicians and practicians of [[elementary technique]]s deny this axiom believing that the world and human thought are necessarily [[finite]], the realm of the infinite being the realm solely of [[God]].

[[Category:Mathematics]]

[[Category:Mathematics]]