# 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 comprehension principle:

- 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.

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

The following 3 pages are in this category, out of 3 total.