If an alien species has 12 fingers to our 10, would they work in base 12 as normally as we use 10s? Like would their whole system end (or start) with a 0 or equivalent and not end all different?
My maths coherence is too high-school for this thinking, but now its in there.
The Babylonian number system was base 12, that’s why there are 24 hours in a day and 60 minutes in an hour. Afaik they had the normal number of fingers, they were just smarter about making their numbering system divisible.
That gets you base 11, which is what we count on our fingers in now.
They counted, at least for tallying, by putting their thumb on the three finger bones if the other four fingers on the hand. One hand can count to 12, and then you lift a finger in the other when starting over. That method gives you a count of 60’on your fingers. That’s why 12 and 60 still crop up all the time.
There’s really nothing special about base 10 numbering, it just feels natural to us. They probably would use base 12 and just have 2 extra symbols for the digits after 9. Example 10 x 10 = 100 in both base 10 and base 12 math. It’s just the translation of that in base 12 to base 10 looks like 12 × 12 = 144 to us.
You can use your hands to count in base 12 if you want to, and some cultures have done so. Just use the segments on your fingers on one hand, using your thumb to count each segment.
If an alien species has 12 fingers to our 10, would they work in base 12 as normally as we use 10s? Like would their whole system end (or start) with a 0 or equivalent and not end all different?
My maths coherence is too high-school for this thinking, but now its in there.
The Babylonian number system was base 12, that’s why there are 24 hours in a day and 60 minutes in an hour. Afaik they had the normal number of fingers, they were just smarter about making their numbering system divisible.
The just started counting with zero (fist)
That gets you base 11, which is what we count on our fingers in now.
They counted, at least for tallying, by putting their thumb on the three finger bones if the other four fingers on the hand. One hand can count to 12, and then you lift a finger in the other when starting over. That method gives you a count of 60’on your fingers. That’s why 12 and 60 still crop up all the time.
There’s really nothing special about base 10 numbering, it just feels natural to us. They probably would use base 12 and just have 2 extra symbols for the digits after 9. Example 10 x 10 = 100 in both base 10 and base 12 math. It’s just the translation of that in base 12 to base 10 looks like 12 × 12 = 144 to us.
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, 10, 11, 13, 14, 15, 16, 17, 18, 19, 1A, 1B, 20, 21, …, A0, A1, A3, …
You can use your hands to count in base 12 if you want to, and some cultures have done so. Just use the segments on your fingers on one hand, using your thumb to count each segment.
https://youtube.com/shorts/ThOuUa_iLnM