How is half a kg more relatable than one kg? Or how are 2½ cm more relatable than 1 cm? Or how are 30 cm more relatable than 10 cm or 100 cm?
I keep seeing your argument here and there, but I just cannot fathom what is meant by it. For me there’s nothing relatable at all in “foot”. It falls awkwardly between 10 cm and 100 cm and I cannot really make heads or tails about it. Except if I divide it by three, which gives me an approximate number in metres. But then the number could have been in metres in the first place.
Relatable I don’t think is the right word. Intuitive in its use and measurement, in specific scenarios.
Measurements always have a scaling and a precision problem. Humans are bad at math and scale, and really struggle mentally with numbers more than a few digits. If the number is too big, someone will either just accept it or ignore it. We like our nice round numbers, and funnily enough like our small prime numbers (1, 2, 3, and 5) and first few multiples of primes (4, 6, 10, 12, 15, 20) and numbers that just shift the decimal point around (10, 100, 1000)
Reference frames are also incredibly useful to us, especially when communicating.
The metric system jumps straight to moving the decimal place around, where imperial let’s you play around with other divisors. Let’s say I have a single digit of some unit and I want to half it. Generally in metric this is fine, doesn’t really add to the mental cognitive load. Half it again, or divide by one of the other primes, and the number of digits starts to explode (or is infinitely repeating). For the scalers within the imperial system, they naturally let you divide down and even re-express the same measurement in a different unit with fewer integer numbers and no precision loss
Edit:
Another example. Computer scientist don’t use metric, we bastardized parts of it and then invented extra units that fit the need and intuitiveness of working with them. We don’t use deci/deca or centi/centa, we bastardized kilo into 2^10 since 1024 is close to a thousand keeping it a nice power of two, a byte is 8 bits for the same reason and a nibble is 4 bits because halving bytes occasionally is useful. A word typically is 16 except when it is 32 bits, in which case 16 is a half word. Then we have dwords and qwords being twice and four times the size of a words, and then a page historically has been 4096 bytes since 1024 is kinda small, but newer systems sometime say a page is 64KB since 2^16 = 65536
While I think the metric system should be used more, I’ll also defend frantional measurements when precision matters. Decimal measurements only increase by a factor of 10. So if your precision is 1/8 of a meter, you have to either round to the nearest meter, overstate your precision (0.125 implies precision to 1mm), or essentially write a sentence (“125mm plus or minus 62.5mm”).
With fractional, the precision is built into the denominator. If your measurement of half a meter is precise to half a meter, you record it as “1/2”. If it’s precise to an pitch of a meter, you record it as “4/8”.
What makes lbs, inch and feet more relatable?
How is half a kg more relatable than one kg? Or how are 2½ cm more relatable than 1 cm? Or how are 30 cm more relatable than 10 cm or 100 cm?
I keep seeing your argument here and there, but I just cannot fathom what is meant by it. For me there’s nothing relatable at all in “foot”. It falls awkwardly between 10 cm and 100 cm and I cannot really make heads or tails about it. Except if I divide it by three, which gives me an approximate number in metres. But then the number could have been in metres in the first place.
Relatable I don’t think is the right word. Intuitive in its use and measurement, in specific scenarios.
Measurements always have a scaling and a precision problem. Humans are bad at math and scale, and really struggle mentally with numbers more than a few digits. If the number is too big, someone will either just accept it or ignore it. We like our nice round numbers, and funnily enough like our small prime numbers (1, 2, 3, and 5) and first few multiples of primes (4, 6, 10, 12, 15, 20) and numbers that just shift the decimal point around (10, 100, 1000)
Reference frames are also incredibly useful to us, especially when communicating.
The metric system jumps straight to moving the decimal place around, where imperial let’s you play around with other divisors. Let’s say I have a single digit of some unit and I want to half it. Generally in metric this is fine, doesn’t really add to the mental cognitive load. Half it again, or divide by one of the other primes, and the number of digits starts to explode (or is infinitely repeating). For the scalers within the imperial system, they naturally let you divide down and even re-express the same measurement in a different unit with fewer integer numbers and no precision loss
Edit: Another example. Computer scientist don’t use metric, we bastardized parts of it and then invented extra units that fit the need and intuitiveness of working with them. We don’t use deci/deca or centi/centa, we bastardized kilo into 2^10 since 1024 is close to a thousand keeping it a nice power of two, a byte is 8 bits for the same reason and a nibble is 4 bits because halving bytes occasionally is useful. A word typically is 16 except when it is 32 bits, in which case 16 is a half word. Then we have dwords and qwords being twice and four times the size of a words, and then a page historically has been 4096 bytes since 1024 is kinda small, but newer systems sometime say a page is 64KB since 2^16 = 65536
While I think the metric system should be used more, I’ll also defend frantional measurements when precision matters. Decimal measurements only increase by a factor of 10. So if your precision is 1/8 of a meter, you have to either round to the nearest meter, overstate your precision (0.125 implies precision to 1mm), or essentially write a sentence (“125mm plus or minus 62.5mm”).
With fractional, the precision is built into the denominator. If your measurement of half a meter is precise to half a meter, you record it as “1/2”. If it’s precise to an pitch of a meter, you record it as “4/8”.