Is Arithmetic Broken? Here is the setup from an article in New Scientist magazine:
...are the rules of arithmetic, the basic logical premises underlying things like long division, unsound? Implausible, you might think. After all, human error aside, our number system delivers pretty reliable results. Yet the closer mathematicians peer beneath the hood of arithmetic, the more they are becoming convinced that something about numbers doesn't quite add up. The motor might be still running, but some essential parts seem to be missing- and we're not sure where to find the spares.
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