Question: Is the glass half-full, or half-empty?
Point 1: If the glass contains one half glass of water and one half glass of air on top of that, then the glass is all-full. The glass in question must exist in pure vacuum.
Point 2: If the glass contains one half glass of water and the other half contains pure vacuum, than the following logic is true.
Point 2A: Consider the following example: There is a finite number of events that have happened; however, there is an infinite number of events that have not happened. Likewise, if there is a finite amount of matter that does exist, then there is an infinite amount of matter that does not exist. Therefore, any amount of vacuum can be assumed to be an infinite amount of nonexistent matter.
Point 2B: The glass begins with one infinity of pure vacuum within it. However, if one half glass of water is placed into the cup also, then you logically have half of one infinity, which is still one infinity. In this way, the glass now contains one half glass of water and one whole infinity of vacuum.
Point 2C: Anyone who knows simple algebra knows the Reflexive Property, which states that A = A. Now, we started with a glass of quantity one, containing one infinity, and now we have one infinity plus one half glass of water. Logically, the glass cannot hold both the one infinity of pure vacuum and the one half glass of water. Therefore, the glass in question cannot exist in pure vacuum either.
Conclusion: The glass in question does not exist.