Philosophy Dictionary 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  
Gödel, Kurt  Infinity Axiom  Gödel, Kurt  
Hilbert, David  Infinity Axiom  Hilbert, David  
Quine, Willard Van Orman  Infinity Axiom  Quine, Willard Van Orman  
Tarski, Alfred  Infinity Axiom  Tarski, Alfred  
Wittgenstein, Ludwig  Infinity Axiom  Wittgenstein, Ludwig  
