In researching state high points for my son, I had a great "inner question"! I noticed that some states have a high point that is not much higher than the surrounding area. For instance, Oklahoma. The highest point is Black Mesa...... no summit to be had that I can see. There are numerous mountains all over OK, but not the high point. Now, here is my question. Do
you consider a mountain to be a mountain solely on the mean elevation, or by the actual prominence? Example, Mt. Alpha's peak is 3000' from the surrounding valley. It is only 3500' above sea level, or Mt. Bravo's peak is 500' above a valley but 6000' above sea level. Which is more the mountain? I see the word mountain thrown around like a hot potato, but no one really knows what constitutes a mountain. (Atleast no one I have talked to.) At what point does a hill become a mountain?

Please, the more ideas, either way, are greatly welcome!
A little back story, my son has decided that in his lifetime, preferably before he is 25 which gives him 13 years to do it, he wants to hit all the state high points. I am all for it. (I know there are people out there who detest hi-pointing, 14-ing, peak bagging, etc., but that is not debatable here. I recently had a discussion with a guy who thought the idea of peak bagging was too goal oriented for the great outdoor experience, but told me he planned to hike the entire AP...

) My son enjoys standing at the top, looking out over creation. The one thing he does not want is to drive up, get out of the car and there you are in 20 steps, the high point. Thus, he has also thought about tallest peak in each state, which may not necessarily be the highest point. Anyone know of a site dedicated or with info on this alternative?