What’s the difference between zero and zero?
One of the various tools laying about in our office is a digital varnier caliper. It’s a pretty handy tool when someone (usually not me, since I deal with computers, not the physical parts) wants to get exact measurement on something.
And obviously, when the two arms of the caliper touch, the distance it measures between them is zero. A total of 0.00mm, to be exact. Here, see for yourself:

Now, guess what happens when you push it a little? Well, obviously the designers thought about that, and the caliper can measure negative distances. Actually, you can zero it on any position, so it can in fact measure even large negative distances. This is fine, a good feature.
But, what happens if when it’s on zero, you push it just a little bit? So it doesn’t really move, not even a 0.01mm? Why, it would still show zero, you would expect, right? Well, wrong:

That’s right. minus 0.00mm distance. Release the caliper, and it will be back to 0.00, tighten it slightly again, and it will be -0.00 again… Cute, real cute. This mean that there is a real and concrete amount of distance between the two zeroes. So, what is that distance? Because mathematically speaking, it has to be, well, zero…

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