# Definition:Principle of Finite Induction/Also known as

## Principle of Finite Induction: Also known as

Some sources refer to the **Principle of Finite Induction** as the **Principle of Mathematical Induction**, and gloss over the differences between the two proof techniques if they discuss them both at all.

Hence the word **finite** may well not appear in the various published expositions of this technique.

Some sources refer to the **Principle of Finite Induction** as the ** First Principle of (Finite) Induction**, to distinguish it from the

**Second Principle of Finite Induction**.

Some call it the **induction principle**.

The abbreviation **PFI** is often seen.

Some sources call it the **Principle of Weak (Finite) Induction**.

Such sources may similarly refer to the **Second Principle of Finite Induction** as the **Principle of Strong (Finite) Induction**.

These names are misleading, as both principles are equivalent, and so neither is weaker or stronger than the other.

The process of demonstrating a proof by means of the **Principle of Finite Induction** is often referred to as **Proof by (Finite) Induction**.