Category:Frege Set Theory

This category contains results about Frege Set Theory.
Definitions specific to this category can be found in Definitions/Frege Set Theory.

The Frege system of set theory is a system of axiomatic set theory which has as its sole axiom the Axiom of Abstraction:

Given any property $P$, there exists a unique set which consists of all and only those objects which have property $P$:

$\set {x: \map P x}$

In support of this, the various logical axioms supporting predicate logic also hold.