Philosophy Lexicon of Arguments

Infinity Axiom: The infinity axiom is an axiom of set theory, which ensures that there are infinite sets. It is formulated in e.g. such a way that a construction rule is specified for the occurrence of elements of a described set. If {x} is the successor of x, the continuation is formed by the union x U {x}. See also set theory, successor, unification, axioms.

Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments.
Author Item    More concepts for author
Field, Hartry Infinity Axiom   Field, Hartry
Hilbert, D. Infinity Axiom   Hilbert, D.
Quine, Willard Van Orman Infinity Axiom   Quine, Willard Van Orman
Tarski, A. Infinity Axiom   Tarski, A.
Wittgenstein, L. Infinity Axiom   Wittgenstein, L.

Ed. Martin Schulz, access date 2017-09-20