# Definition:Circular Definition

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## Definition

A **circular definition** is a definition of a concept $A$ in terms of another concept $B$ such that the definition of $B$ itself refers (either directly or indirectly) to the definition of $A$.

It is a truism that **circular definitions** are always to be avoided.

## Example

- "An
**integer**is an element of an isomorphic copy of the inverse completion of the set of natural numbers." - "A
**natural number**is a positive integer."

## Also known as

- A
**circular definition**is also known as a**vicious circle in the definition**.

## Also see

## Sources

- 1946: Alfred Tarski:
*Introduction to Logic and to the Methodology of Deductive Sciences*(2nd ed.) ... (previous) ... (next): $\S \text{II}.11$: The formulation of definitions