It’s not nonsense, just old and focused on priorities that don’t matter anymore. A mile was initially a thousand paces. So you send a group of people out, one counts each time their right foot takes a step and after a thousand times they build a mile marker. Bam, roman road system. 1000 strides per mile, 5 feet per stride.
Later the English used the unit as part of their system of measurement, and built the furlong around it, which is the distance a man with an ox team and plow can plow before the ox need to rest. A mile is eight furlong. This got tied into surveying units, since plots of land were broken up into acres, or the amount of land an ox team can plow a day.
When some unit reconciliation needed to be done, they couldn’t change the vitality of oxen, and changing the survey unit would cause tax havock, so they changed the size of a foot.
All the units and their relationships were defined deliberately and intentionally. They just factored in priorities that we don’t care about anymore.
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.
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.
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.
I think a mile is specified in terms of ‘chains’ not really feet or yards.
Feet and yards are meant for measuring smaller stuff, like the size of a foot, or a courtyard.
The ‘chain’ was a specific surveyors tool for measuring larger land areas. I imagine defined to be a length of physical chain practically manageable by the surveyor - probably pre-dating optical / triangulation methods before lenses got cheap.
I think an acre was then defined as 10 square chains or something.
But go back in time far enough and different jurisdictions have different lengths of standard chain, so different miles and acres derived from it. But it doesn’t really matter because if you were buying land in Scotland, then you’d probably want to use a Scottish surveyor and his big long chain.
The nautical mile is then a whole other kettle of fish.
Base 12 is easily divisible by 2, 3, 4, 6 and 12
5,280 ft in a mile is fucking nonsense though
It’s not nonsense, just old and focused on priorities that don’t matter anymore. A mile was initially a thousand paces. So you send a group of people out, one counts each time their right foot takes a step and after a thousand times they build a mile marker. Bam, roman road system. 1000 strides per mile, 5 feet per stride.
Later the English used the unit as part of their system of measurement, and built the furlong around it, which is the distance a man with an ox team and plow can plow before the ox need to rest. A mile is eight furlong. This got tied into surveying units, since plots of land were broken up into acres, or the amount of land an ox team can plow a day.
When some unit reconciliation needed to be done, they couldn’t change the vitality of oxen, and changing the survey unit would cause tax havock, so they changed the size of a foot.
All the units and their relationships were defined deliberately and intentionally. They just factored in priorities that we don’t care about anymore.
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.
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.
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.
Base 60 can do 2, 3, 4, 5, 6, 10, and 12.
True… Honestly never really thought about it, but I guess it kind of is superior
I think a mile is specified in terms of ‘chains’ not really feet or yards. Feet and yards are meant for measuring smaller stuff, like the size of a foot, or a courtyard.
The ‘chain’ was a specific surveyors tool for measuring larger land areas. I imagine defined to be a length of physical chain practically manageable by the surveyor - probably pre-dating optical / triangulation methods before lenses got cheap.
I think an acre was then defined as 10 square chains or something.
But go back in time far enough and different jurisdictions have different lengths of standard chain, so different miles and acres derived from it. But it doesn’t really matter because if you were buying land in Scotland, then you’d probably want to use a Scottish surveyor and his big long chain.
The nautical mile is then a whole other kettle of fish.