# Category:Axioms/Frege Set Theory

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This category contains axioms related to 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.

## Subcategories

This category has only the following subcategory.

### A

- Axioms/Axiom of Abstraction (5 P)

## Pages in category "Axioms/Frege Set Theory"

This category contains only the following page.