this post was submitted on 04 Nov 2023
10 points (100.0% liked)

A place for everything about math

806 readers
1 users here now

founded 4 years ago
MODERATORS
 

Hello.

I am currently inventing a language, and have created a base 4 number system for it. Unfortunately, I am horrible with numbers, even in decimal. So it was a hard slog. But I finally got there.

It would be great if I could know of any practical applications quaternary has (if any), so I can incorporate it into the language and make it more naturalistic. Thanks.

you are viewing a single comment's thread
view the rest of the comments
[–] [email protected] 3 points 10 months ago (3 children)

Are they humans? If not, I'd expect them to have some body feature they could use to count to 4 (not necessarily fingers).

They might also ascribe deeper meanings to things that come in fours, like cardinal directions, seasons etc.

[–] [email protected] 2 points 10 months ago (2 children)

Yes, they're human. One thought I had was quaternary makes it very easy to count very high on your fingers very quickly. With one hand you show 1 2 3 fingers, then close them and show the four with the thumb on the other hand. Then 1 2 3 again, and stick out the pointer finger to accompany the thumb, to show 2 fours. Another system is to point your palm towards yourself, and count the spaces between the fingers. The four of each set is the space between the pointer finger and thumb. So you can count 1 2 3 1, 1 2 3 2, 1 2 3 3, and so on. Apparently a tribe of native Americans used a quaternary system and used the spaces between the fingers, instead of the fingers themselves. Not sure how efficient it is, I just thought it was cool.

This civilisation counted seasons by the weather/sun/moon, so I doubt they would have a rigid system for seasons. Cardinal directions, though... yes, that's the kind of thing I can build on! They were from a big island, with a lot of jungle and volcanoes etc so directions would be vital. Also, being islanders, seafaring would be part of the picture and of course navigation is vital when you're at sea. And the Hindus have the 4 stages of life, so there might be a similar spiritual element as well.

You've given much food for thought. Thanks!

[–] [email protected] 1 points 10 months ago (1 children)

The finger counting thing is smart, but then why not just use base 2? Counts from 0 to 1023 inclusive.

[–] [email protected] 1 points 10 months ago

Well that's a tad extreme. But I take your point.