The term for a material's ability to burn in the presence of oxygen is flammability.

Here's a breakdown:

* Flammability: Describes how easily a substance ignites and burns.

* Combustibility: A synonym for flammability, often used in a more general sense.

* Inflammability: Means the same as flammability, but is less commonly used.

It's important to note that combustion is the chemical process of burning itself, while flammability describes the potential for that process to occur.