Philosophy Dictionary of Arguments  
 
Set Theory: set theory is the system of rules and axioms, which regulates the formation of sets. The elements are exclusively numbers. Sets contain individual objects, that is, numbers as elements. Furthermore, sets contain subsets, that is, again sets of elements. The set of all subsets of a set is called the power set. Each set contains the empty set as a subset, but not as an element. The size of sets is called the cardinality. Sets containing the same elements are identical. See also comprehension, comprehension axiom, selection axiom, infinity axiom, couple set axiom, extensionality principle. _____________ 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  

Basieux, Pierre  Set Theory  Basieux, Pierre  
Bigelow, John  Set Theory  Bigelow, John  
Bourbaki, Nicholas  Set Theory  Bourbaki, Nicholas  
Cresswell, Maxwell J.  Set Theory  Cresswell, Maxwell J.  
Field, Hartry  Set Theory  Field, Hartry  
Lewis, David K.  Set Theory  Lewis, David K.  
Lorenzen, Paul  Set Theory  Lorenzen, Paul  
Mates, Benson  Set Theory  Mates, Benson  
Prior, Arthur N.  Set Theory  Prior, Arthur  
Quine, Willard Van Orman  Set Theory  Quine, Willard Van Orman  
Simons, Peter M.  Set Theory  Simons, Peter M.  
Thiel, Christian  Set Theory  Thiel, Christian  
