The axiom of infinity is one of the axioms of Zermelo-Fraenkel set theory, the system used throughout much of mathematics and the philosophy that draws on it. It guarantees the existence of at least one infinite set, specifically a set containing the natural numbers, and was first published by Ernst Zermelo in 1908 as part of his original axiomatization of set theory. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
Facts
Origin Yearfirst published by Ernst Zermelo as part of his set theory in 1908 Connections
In Branch
Source Axiom of Infinity (Wikipedia)
Sources
1. Axiom of Infinity (Wikipedia)
In Branch: Set Theory, Lead sentenceQuote, In Branch: Set Theory, Lead sentence
In axiomatic set theory and the branches of mathematics and philosophy that use it, the axiom of infinity is one of the axioms of
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