newtonian mechanics - If there is no gravity, does that mean there's no mass as well?

I have demonstrated that weight only is measured based on the gravitational pull of where you live.

For example, the gravity on the surface of Mars is three times smaller than the gravity on the surface of Earth.

So my question is simple: If we take into account that weight is only measured based on gravitational pull on that mass, if there was no gravity how would we define mass?

That is, would mass weigh anything if no gravitational pull acted on it? Then what would be mass?