Solutions!

Most of my free time has been wrapped up in the An Ember in the Wind rewrite, but I think it’s about time to wrap up a couple of loose ends.

Here are the solutions to a couple of the blog’s riddles.

The solution to “Fact or Fiction 1” is true. You can read it on the BIPM website itself.

As for False Dogma, here’s how to do it:

I usually give this riddle in my “College Algebra” course, as a quick illustration of how the “rules of mathematics” can be altered.

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When can you add 2 and 11 to get 1?

Here is the answer.

A more formal answer is “in the integers modulo 12.” If you’re willing to buy that, you can also add 2 and 11 to get 3 in the integers modulo 10.

So what about integers modulo 1? It turns out, such a thing exists. And in the integers modulo 1, any two integers are equal. So 2 + 2 = 4, which is also 5.

As for a simple explanation, just imagine a clock with only one hour on it. No matter how many hours you advance the hand, it’ll always point to the same number.

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