MathJax

Friday, February 12, 2016

Base ten is an obstacle to international harmony.

A rough approximation of the dollar cost of an item in Beijing would be to divide it by six. This should be much easier than it is, but for the brutish choice our species has made to use ten as the base for international commerce.

The philistine critics among are surely waggling their manual digits in support of this accident of biology enshrined beyond its post. Let me parry their defiance of common sense with a solution for counting to twelve on one's fingers. If you refuse to grant arguments beyond this seeming convenience, this should prove a switch to twelve at least yields no ground as far as the mathematically illiterate are concerned:


(not my video)

Now for the sophisticates among you, I submit to you these grand properties of twelve as a base: We enjoy the convenience in our digital (that is, base-ten lives) of dividing easily by 2, and 5. The astute among you will see that the dozenal revolution is asking us to sacrifice convenient division by 5, but hear me! The rewards are great, for in return, we receive easy division by 3 and 4.

Division is easiest for the proper divisors of the radix.
For ten, this means 2 and 5.
For twelve, this means 2, 3, 4, and 6.

In base twelve we replace the convenience of division by 5 with the convenience of division by 6 and introduce convenient division by 3 and 4 as well.

In the meantime, dividing everything by 6 was a bit of an inconvenience while in China. I'm still withholding my support of the metric system until it switches from base ten to base twelve.

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