# Definition:Principle of Mathematical Induction/Also known as

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## Principle of Mathematical Induction: Also known as

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

**Second Principle of Mathematical Induction**.

Some call it the **induction principle**.

The abbreviation **PMI** is often seen.

Some sources call it the **Principle of Weak Induction**.

Such sources may similarly refer to the **Second Principle of Mathematical Induction** as the **Principle of Strong 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 Mathematical Induction** is often referred to as **Proof by (Mathematical) Induction**.