s69-5 said:
I read that blurb in the book "Fact or Fallacy" almost 2 decades ago.
Zero is a number, as it quantifies "null".
Hey, you hear that? That was the universe going "Ding! Correct!"
Folks, numbers are used for one reason: to quantify things. Be they probabilities, amounts of mass, sets of objects, or what have you, if you are dealing with a number, you have a quantity of something. And just as it is possible to have a quantity of something, the absence of that quantity needs to able to be expressed as well. Hence, zero.
For those of you who feel that it is not physically possible to measure zero, join me in a little experiment.
Hold up your right hand palm upwards (yes, let go of your mouse and hold it up).
Now think for a moment about the idea of the cupcake. Everyone knows what a cupcake is, right? Fluffy, cakey goodness in a palm-sized shape. Simple and easy to picture. Got that image in your mind? Peachy.
Now look at the palm of your right hand. You are observing zero cupcakes. The quantity of cupcake in your palm is zero.
This does not preclude the existence of cupcakes elsewhere but it does show that, for the purpose of measuring the amount of cupcake you possess in that hand
right now, the number is zero. Hence, zero is a number.
Here's a good example for everyone. I think this may be a major point too.
Say you travel 3 miles north to work (+3). After 8 hours, you travel 3 miles south back to home(-3).
Where did you end up? 0 miles
How far away did you travel? 0 miles *Bzzt!*
What was the total distance traveled? 6 miles
You have traveled 6 miles, yet your position in space is 0, because you returned to your starting location. 6 != 0 yet you traveled both 6 miles and 0 miles. Can everyone understand where I'm coming from now?
Close, Crystal, but no cigar. You travelled three miles away from your starting point. Returning home does not negate the fact that you travelled three miles away, even if you are in the same place you were spatially eight hours before.
And while you were travelling (and waiting to travel back), time passed. While there is no more distance to quantify once you return home, there is certainly time to quantify, to say nothing of the wear and tear on your shoes and the rest of you.
Finally, this example assumes that you travelled in a straight line. Suppose you decided to stop at a cafe and buy a cupcake on your way home. Did you still travel three miles? What if the cafe wasn't on that straight line? Does that mean that you travelled negative one miles if you went a mile out of your way? And what about the cupcake? There's now more mass present in the place where you originally were, especially if you ate the cupcake on the way home. Does that influence the distance travelled or the fact that you left without something (no cupcake) and returned with it (cupcake, eaten or otherwise)?
Long story short (I know, too late), zero is a number.