Originally Posted By: paul

the bottle can come completely above the surface of the
water in the pot , yet the water in the pot rises up to the bottle as you lift it.
still no water comes out of the bottle.
even though it is clear that there is not enough water pressure along the mouth of the bottle that could be supplied by the water pressures in the water in the pot
to support the weight of the water in the bottle.
so wheres the pressure that is holding the water in
the bottle?

The pressure holding the water in the bottle is the athmospheric pressure. You can actually see it! If a high-pressure weather system coming along the water in the bottel will rise even more. You can use it as a barometer.

You can also calculate it: The weight of the elevated water in the bottle matches exactly the athmospheric pressure.

Originally Posted By: paul

so is it just atmospheric pressure that holds the water
in the bottle?


Originally Posted By: paul

but if I continue to lift the bottle the water comes out.
so it cant be just atmospheric pressures holding the water in the bottle.

Sorry, but you are wrong.
The reason the water comes out when you rise the bottle above the surface is: water is a liquid. The atmosphere pressing against the water in your bottle will form bubbles. Each bubble displaces its own volume of water.

Try this: hold a cardboard over the opening of your bottle, just before rising above the surface.
Now the atmospheric pressure has some steady/inflexible board to press against. You will see, the atmosphere is pressing against the board with enough pressure to hold the water inside.

Originally Posted By: paul

its the vacuum at the top of the bottle that holds the
water in the bottle , not the atmospheric pressure pressing down on the water in the pot.

You are wrong. Please read again the section about the vacuum-cleaner and suction. Or ask any manufacturer of suction pumps. Or you could try it yourself:
You would need a tower of 11 m height, a hose of 11m length and a tub with water.
Even with a perfect vacuum at the top of the hose you can elevate water higher then the atmospheric pressure compensates (around 10.3 meters).

Lets try a thought experiment: Assuming you are correct and "nothing" (perfect vacuum) is somehow inducing a "suction force".

If you have 1 Liter of vacuum this should be some amount X of "suction force". 2 Liter of vacuum should induce twice as much suction force.

Lets consider a closed system: A box, completely sealed from surrounding pressures. Inside this box we have a vacuum. In this box is also a movable separator, dividing the box into two compartments. Like a piston?

If you were right about this "suction force" the piston would always tend to move into the middle. If the piston is somewhere else one of the two compartments will have more volume of vacuum this producing more suction.

Reality behaves differently: in reality the piston doesn't care on which side more vacuum exists.
Because vacuum (nothing) doesn't exert any force.