Definition:Second Principle of Mathematical Induction/Also known as

Also known as
Some sources refer to the second principle of mathematical induction as the principle of complete induction.

It is also sometimes referred to as the principle of strong induction, in counterpoint to the principle of weak induction

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

Some sources prefer to call it course-of-values induction, but this is possibly idiosyncratic.

The abbreviation PCI is often seen.

The process of demonstrating a proof by means of the Second Principle of Mathematical Induction is often referred to as proof by complete induction.