(2011-12-03, 09:53 PM)Tom K. Wrote: [ -> ] (2011-12-03, 09:38 PM)Aristotle Wrote: [ -> ]@All staff, Which is correct?

Is the glass half full, half empty, the wrong size, or a free drink?

Explain why you pick which.

Although I'm not staff, I'd say neither. You cant have a door that's half open or half closed, if it is anything but closed, it is open. Full and empty (like open and closed) are two opposite absolute states. On or off, true or false, open or closed, empty or full, dark or light, positive or negative. Same difference

(2011-12-04, 08:40 AM)Tom K. Wrote: [ -> ]Ok, in a vacuum my statement is correct either way there is not "half full"

I don't quite agree with your statement.

If you fill up a cylindrical glass with liquid water (lets assume this experiment is under

STP conditions) to the exact half way mark (where the water consumes exactly half of the cylinder's volume), you will see that it indeed can be seen as half empty and or half full.

Before I get into more detail on it, we need to clarify on what we mean by half full or half empty. The term "half full" (in this case) refers to the cylinder as being filled with liquid water to exactly half its volume. This coincides with the term "half empty," which refers to the cylinder having half its volume not containing liquid water. Since we have two halves, one containing liquid water and one not, the cylinder can be given both attributes (properties) that it is indeed both half full and half empty [half full of liquid water, and half empty of liquid water]. You can think of it as taking to halves of the volume of the cylinder (pi(r^2)h/2) and adding them together to get the entire volume of the cylinder.

Consider the graphic below (ignore my terrible color selections except the fact that the blue gradient is the water in the cylinder, and the color white in the cylinder is air. The cylinder is being portrayed as a 2d object outlined by the grey"ish" border.)

[

attachment=24922]

I went ahead and labeled the line that crosses the half way mark of the cylinder horizontally as the origin and as "x". The vertical half way mark is labeled "y".

From the origin to the top of the cylinder, it is exactly half of the cylinder (let's label it a), and from the origin to the bottom of the cylinder (let's label it b), it again, is exactly half of the height of the cylinder*. Since "a" and "b" are two halves, "a" containing liquid water and "b" not containing liquid water, the cylinder is again, half full and half empty (of liquid water).

Even if the cylinder was in a vacuum and was filled exactly half with water, you would still have the half empty / half full scenario.

* Ignoring the fact that my graphic is .5 pixels off from the "halfway" mark. Assume the origin crosses the exact halfway mark, without any thickness.

All the best,

Imad Jomaa.