So we agree then that pressure is the result of something. It's an effect and not the cause. The difference, it appears, is that my definition suggests that pressure can be caused by any applied force while yours specifically says the cause is stacked matter.
The effect of pressure is caused by an applied force. It's the force of stacked matter/molecules from bottom to top. Just like stacking people on top of each other - who is going to be under the most pressure. The one at the bottom or the one at the top?
Simple isn't it?
Okay, so then naturally the follow up question is, what makes them stack instead of just being stationary/floating?
Energy/agitation makes them stack, from the ground, pushing up. For instance, steam rises because molecules are agitated and expanded and are pushed above the denser more compressed molecules.
A simple analogy is to put some small rubber ball into a jar and pour sand on top of them.
The rubber balls are covered. If the jar remains still, they will stay covered. Let's call this cold water.
Now if you vibrate that jar, you will see that the smaller sand grains in their amount, will force up the rubber balls to the top and condense under them. Call this boiling water. Take that as as analogy and nothing else, because i'm trying to explain it in very simple terms.
Also, say I come up to you and push you backward. Did I not apply pressure on you or did stacked matter do it?
You are stacked matter. All you are is compressed matter. But, let's deal with the norm.
Your push is energy. You applied energy to me which forced me to move backwards.
Let's say I was laid on top of you (no kissing) and you used your energy to push me off. The pressure you are applying to me, I'm applying right back to you, until you break free of that pressure. You can only do this by exerting more energy against me than I can exert back onto you.