I challenge you to make a 1/3 cut in meter length wood using a metric ruler. Must be accurate to 1/128 inch (0.2mm), the tolerance used in fine woodworking.
That doesn't really hurt the argument at all - you're just arguing about factors now, and if you're really going to go there, 12 wins due to having more factors. The mathematical correction you'll have to do to measure 1/5th will be displaced by all the correction you don't have to do for other cases.
Whole numbers don't make things easier to measure or cut or reason about. I can measure in thirds or fifths of a meter or a foot or an inch or any unit you want with a compass and a straight edge.
You're arguing that the mark on the tape measure is possible for imperial and impossible for metric, when thirds are involved. Not true.
Because infinite numbers are not a natural expression of discrete measurements, and when it comes to being price 1/3 = 4 is always going to be easier to put your finger on than 1/3 = 3.333.
I work in software and data analysis in the construction industry. A continuous measurement is good for some things, but it's definitely not good for discrete measurements. Furthermore, a lot of the people who work in the field for construction greatly prefer Imperial for a reason. They have no bias towards systems beyond what works fast and easy.
I work a lot with wood in the metric system and the third thing is bot a problem at all. I never had even remotly any trouble finding 333.33 mm or a 666.66 on a tape measure. For anything that needs extreme accurcay I’d go with my iron ruler with 0.1 mm ruling and beyond that I would go for a caliper.
If you consistently have to use a weird measurement over and over again, you usually end up making a temporary ruler (paper, wood, metal) anyways
What is stopping people from making meter sticks with 3000 lines, i.e. every third of a millimeter is marked?
(The point is, there is nothing any more "infinite" about the rational number 1/3 than 1/4, 1/5, 1/2 or what have you. It just can't be written in the arbitrary base 10 system, just like 1/5 can't be written in base 12)
> and when it comes to being price 1/3 = 4 is always going to be easier to put your finger on than 1/3 = 3.333.
Am I missing something? Wouldn’t it just be putting your finger on the 10 cm mark? This is approx 4”.
I realize this is not exact conversion, but it’s trivial to come up with examples where metric is easier: say you have a piece of wood 7 7/8” long that you want to cut in half. Is it easier to put your finger on 3 15/16” or 10 cm?
The factor argument is not really something that stands up, because you need to consider factors for an arbitrary length of something in the world, not a well defined unit of your own making.
How about 1/3rd of a tree? It's likely to be in some ungodly fractional amount of an inch, that's extremely hard to convert into feet, but in metric the decimal system just makes it super easy.