And some happy news for those who like miscellaneous collections of mathematics stuff. Jeremy Kun has published the 197th edition of the Carnival of Mathematics. This differs from the Playful Math Education Blog Carnival in not having a specific focus on educational or recreational mathematics. That’s not to say there isn’t fun little stuff mentioned here. For example, Kun leads with a bit of trivia about 197 as a number. But there’s a stronger focus on more serious mathematics work, such as studying space-filling curves, or a neat puzzle about how to fold (roughly) equilateral triangles without measuring them.

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## Author: Joseph Nebus

I was born 198 years to the day after Johnny Appleseed. The differences between us do not end there. He/him.
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‘Trivia about 197 as a number’ … intriguing idea!

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There’s a classic whimsical proof that there’s no such thing as a boring number, you know.

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Thanks, just looked it up on Wikipedia – The interesting number paradox is a humorous paradox which arises from the attempt to classify every natural number as either “interesting” or “uninteresting”. The paradox states that every natural number is interesting. The “proof” is by contradiction: if there exists a non-empty set of uninteresting natural numbers, there would be a smallest uninteresting number – but the smallest uninteresting number is itself interesting because it is the smallest uninteresting number, thus producing a contradiction.”

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Yes, that’s the one. It’s a fun bit of reasoning, and probably a good way to show how to do some kinds of proof to people. Like, the same form of a proof won’t work for showing there’s no smallest uninteresting positive real number; what is it that positive real numbers have that counting numbers don’t? And it’s always fun to work on logic proofs when the premises are silly. Charles Dodgson (Lewis Carroll) had a nice demonstration of logical fallacies about how, if one is late for one’s train one is running. So if you see someone running, are they late for their train? Not at all; they run because they are being chased by a tiger. Really makes an impression.

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