Right I have been searching for the truth, and found out that any mass of gas if kept at constant volume, i.e. if you seal it in say a canister, the number of molecules or atoms of that gas remain constant but pressure increases or decreases with temperature. that means pressure and temperature are directly proportional to each other, though in a turbo air is forces into a given volume of space, where it gets compressed, it heats up due to action of compression, but compressing air itself is another way of making the air denser, because if you pack more air or gas in a given space, you are effectively making its density increase, pushing more mass of gas into that same amount of space increases its density but this also creates heat in doing so.
Now if we stop our turbo pushing any more air into our given volume of space, which could be our inlet manifold, so we stop pushing in any more air in this given space, we cool it through an intercooler, by doing so we do not lose mass of that trapped compressed air, but we lose some pressure as that trapped air cools down, the number of atoms remain constant, so we may lose some pressure, but mass of that air is still constant, only the pressure is proportional to its temperature, so now i understand that intercooler may drop the pressure, but mass of air remains same.
This really answers my question as to why use an intercooler as dropping temperature would reduce pressure and we all assumed pressure equals density, but it is not, since volume (given space) remained constant. I or we have been thinking wrongly that when you cool air, pressure drops, and you also lose mass, (density) but you don't necessarily lose mass. Not in this situation, because mass is trapped and has no where to escape, it can only escape when inlet valve opens and fills into a cylinder, and as soon as mass of air escapes, more is pushed in by the turbo and cooled through an intercooler.
In open space, this would not be the case, as mass is able to move freely, and is not contained within walls, so it can move freely and hence density can change whereas in sealed pipework and chambers and manifolds, mass cannot escape other than when we want it to escape into say the cylinder on an induction stroke.
This is back to basic physics, which i missed when I was at school, because back then such things like Boyl's Law didn't interest me and I used to skive many lessons.
here is a link to brush your brain: also the article explains that heat makes the gas atoms or molecules move faster when heated, so faster they bounce about more pressure they creat. But mass remains constant.
http://www.passmyexams.co.uk/GCSE/physics/pressure-temperature-relationship-of-gas-pressure-law.html It would also be wrong to say that cool air is denser, since we know air is not very dense on high mountain tops where it is very cold. this is not because of temperature but because of air pressure, high up on a mountain the air pressure is less, so less air is packed per given volume, but at sea level there is more air pressure hence more denser air, as pressure forces more air atoms packed in that same given space. Also look at Boyl's Law.
http://www.passmyexams.co.uk/GCSE/physics/pressure-volume-relationship-of-gas-Boyles-law.html
The thing to remember is that a turbo constantly feeds more mass of air into a confined space.
whereas a piston in a cylinder may compress the same mass of air into a lesser space (volume) so both compress air, but difference is turbo keeps adding more mass to achieve that.