Well i am a trained geologist. A classic way of measuring the size of a mountain involves a very sensative pendulem that measures the gravitational attraction of the mountain. Mountains are big enough to exert a measurable force on a well made pendulem, not that you'd feel it or see it without magnification but it does happen. I've seen as much evidence for the existance of gravity as i have for air, which i've also never seen.
You're seeing evidence for gravitation, not gravity. They are two different things.
So, about this force of gravity which doesn't exist:
A) With small speeds, Newton's theory of gravity is CORRECT. Newton's theory of gravity contains a force called GRAVITY or the GRAVITATIONAL FORCE. There is nothing wrong with using the word GRAVITY.
1B) At high speeds, Newton's theory of gravity is WRONG. There IS no force of gravity because it would create contradictions. Then we cannot use the word "gravity" (pertaining to the force of gravity).
If our geologist friend here is measuring how large mountains are (which aren't very big, and aren't moving very fast), he is certainly able to use Newton's theory of gravitation, in which there exists a force called (gasp!) gravity!
1: By correct I mean agrees with experimental evidence to any detectable precision.