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Re:Why A4? – The Mathematical Beauty of Paper Size by thechao on Monday September 05, 2022 @09:49AM (#32724258)
The US doesn't use imperial. It uses US customary. US customary uses imperial "prefixes" but is (mostly) base-2. The idea (from the 1790s) was that there'd be a "scientific" system in base-10, suitable for high-precision instrument makers; and, a "human-scale" base-2 suitable for people with limited manufacturing capability: dividing by 2 being far easier than by 10.

Jefferson was responsible for US customary and got a lot of it working; the French were responsible for metric, but were interrupted by The Reign Of Terror.

Re:Why A4? – The Mathematical Beauty of Paper Size by richrichardsson on Monday September 05, 2022 @10:14AM (#32724524)
> dividing by 2 being far easier than by 10

Really? I struggle to see how dividing any number by two is easier than dividing it by ten, but would like to be enlightened. Divide by ten I just need to mentally move the decimal point, dividing numbers such as 35 or 123 by two requires a lot more mental arithmetic.

Re:Why A4? – The Mathematical Beauty of Paper Size by thechao on Monday September 05, 2022 @10:18AM (#32724583)
It's 1795, and you're a farmer asked to build a ruler based on divide-by-10, or divide-by-2. Anyone with a compass can do the latter; the former is nearly impossible.
Re:Why A4? – The Mathematical Beauty of Paper Size by mattkrause on Monday September 05, 2022 @12:27PM (#32726126)
Not the number, but the "thing" itself.

It's a snap to fold a piece of paper in half, thirds[0], quarters, sixths, eighths, (etc), but I'm not aware of a trick that lets you divide a sheet into tenths.

[0] Higher powers of three seem tricky too.

Re:Why A4? – The Mathematical Beauty of Paper Size by achenet on Monday September 05, 2022 @10:03AM (#32724392)
could you please explain how US customary is base 2?

For example, how is "12 inches to a foot, 3 foot to a yard, and 1760 yards to a mile" base 2?

My understanding, before reading your post was that US customary was basically adapted from imperial which was in turn just an adaptation of folk measurements - a foot was about the length of a foot, etc.

Re:Why A4? – The Mathematical Beauty of Paper Size by shawnz on Monday September 05, 2022 @11:20AM (#32725290)
I guess they are referring to how inches for example are commonly subdivided into halves, quarters, eighths, sixteenths, etc.
Re:Why A4? – The Mathematical Beauty of Paper Size by thechao on Monday September 05, 2022 @10:19AM (#32724591)
Lengths aren't as important to farmers as volumes — those are base-2. Remember: 1790, not 1990.
Re:Why A4? – The Mathematical Beauty of Paper Size by achenet on Monday September 05, 2022 @10:39AM (#32724813)
a quart is a quarter of a gallon, an oz is a 32nd of a quart... eh I guess that makes sense.
Re:Why A4? – The Mathematical Beauty of Paper Size by gs17 on Monday September 05, 2022 @03:54PM (#32728635)
Sadly, teaspoons to tablespoons has a jump of 3x, but other than that it's mostly binary with a few skips (e.g. there's not a real half gallon unit AFAIK, it's just "a half gallon", same for 2 fl oz). For some reason a barrel is 31.5 gallons instead of 32, with a hogshead being twice that at 63, but those are pretty rarely used.
Re:Why A4? – The Mathematical Beauty of Paper Size by janci on Monday September 05, 2022 @10:13AM (#32724520)
> dividing by 2 being far easier than by 10

How is dividing by 2 easier than moving the decimal point by 1 place?

Re:Why A4? – The Mathematical Beauty of Paper Size by jeff-davis on Monday September 05, 2022 @10:49AM (#32724925)
I think they meant literally dividing, as in "divide this loaf of bread into two equal parts".
Re:Why A4? – The Mathematical Beauty of Paper Size by mega_dingus on Monday September 05, 2022 @10:20AM (#32724603)
Fold a piece of paper in half perfectly. Easy

Fold a piece of paper into 10 equal parts perfectly. Easy?

Re:Why A4? – The Mathematical Beauty of Paper Size by Freak_NL on Monday September 05, 2022 @06:02AM (#32722480)
The ubiquity of B5 notebooks (and just B5 paper in general) is one of the things I love about Japan. I don't mind having A5 and A4 around, but I'm not too fond of A4 being the default printer paper size.
Re:Why A4? – The Mathematical Beauty of Paper Size by supportlocal4h on Monday September 05, 2022 @10:26AM (#32724666)
The USA uses metric all over the place. Everybody knows how big 2L is. Syringes are all marked in mL or cc. Socket wrenches come with 1/2, 9/16, 5/8 etc. but also 9, 10, 11. Athletes no longer run 100-yard dash. The "400" is 400m. Cars have 1.8L engines. People wear size 30 footwear, but also size 7.

Yes, the USA uses inches and pounds and gallons. They also use m, g, and L. And picas and fingers and miles and decibles and watts and joules. Mostly they don't know or care. If they do know and care, they are usually capable of using whichever unit gets the job done.

Re:Why A4? – The Mathematical Beauty of Paper Size by cratermoon on Monday September 05, 2022 @11:30AM (#32725389)
Try finding the weather in metric, though. Everything – temperature, windspeed (miles per hour, unless it's an offshore report, then it's knots), atmospheric pressure, wave heights, precipitation amounts and rate, and so on – is US customary.
Re:Why A4? – The Mathematical Beauty of Paper Size by umanwizard on Monday September 05, 2022 @08:14PM (#32731005)
Luckily you can now check the weather on your phone, and I suspect more people do so nowadays than getting it from TV or newspapers. And it’s easy to set any weather app to use international units.
Re:Why A4? – The Mathematical Beauty of Paper Size by cratermoon on Monday September 05, 2022 @09:12PM (#32731440)
Absolutely. I was speaking of the official NWS reports, which are still in US customary.
Re:Why A4? – The Mathematical Beauty of Paper Size by wartijn_ on Monday September 05, 2022 @06:29AM (#32722694)
Oh, I didn't know about B5. I knew B size papers exist, but never looked into it. Will definitely look at B5 notepad next time I'll need to buy a new one, because like you I think A5 is a bit too small and A4 too big.
Re:Why A4? – The Mathematical Beauty of Paper Size by ClikeX on Monday September 05, 2022 @09:19AM (#32723973)
I never considered that the US mispells metre, considering Dutch uses "meter" as well.
Re:Why A4? – The Mathematical Beauty of Paper Size by iNerdier on Monday September 05, 2022 @08:26AM (#32723508)
And yet all photo print sizes, even internationally are defined in inches. Sigh.
Re:Why A4? – The Mathematical Beauty of Paper Size by em-bee on Monday September 05, 2022 @11:38AM (#32725500)
kodak's influence i guess
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Re:Why A4? – The Mathematical Beauty of Paper Size by Jedd on Monday September 05, 2022 @09:01AM (#32723835)
> Hard alcohol for example is mainly sold in 0.75L

This led me down a minor rabbit-hole.

In Australia, at least, hard liquor is sold in 700ml or 1 litre bottles. Wines (not what I'd call hard alcohol) are typically sold in 750ml.

Why 750ml is the default for wine bottles seems to be uncertain.

It may be any or more or none of :

750ml is roughly 1/5 of a gallon

750ml provides 6 servings of a 'comfortable' amount (about 125ml)

glass bottles, when blown rather than cast, were limited by the amount of air a glass blower could push into molten glass - this was around that figure.

Either way, none of that, in and of itself, is a compelling argument for metric.

Re:Why A4? – The Mathematical Beauty of Paper Size by umanwizard on Monday September 05, 2022 @09:43AM (#32724211)
> 750ml is roughly 1/5 of a gallon

We still colloquially call 750ml liquor bottles a “fifth”, so this is a plausible explanation.

(Curiously, we never say “a fifth of wine” even though wine is sold in 750ml bottles too.)

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Re:Why A4? – The Mathematical Beauty of Paper Size by umanwizard on Monday September 05, 2022 @09:37AM (#32724156)
> simultaneously, petulantly perhaps, spelling the units differently

Utter nonsense.

The majority of native English speakers are American. Does that mean Brits, Australians, etc. are being “petulant” by spelling various words differently from Americans? Of course not. That’s just not how language evolution and standardization works.

By the way, nobody had to decide that “meter” specifically should be spelled that way. It follows the normal American spelling pattern in which all words ending in the consonant cluster /tr/ are spelled with “-ter”. Commonwealth English is actually more inconsistent as it sometimes renders the French “-tre” as “-tre” (metre, centre, theatre) and sometimes as “-ter” (master, plaster).

Re:Why A4? – The Mathematical Beauty of Paper Size by supportlocal4h on Monday September 05, 2022 @10:33AM (#32724745)
Please don't pretend any kind of consistency with any form of the English language.
Re:Why A4? – The Mathematical Beauty of Paper Size by kwhitefoot on Monday September 05, 2022 @01:33PM (#32726872)
The point is that master and plaster aren't French.
Re:Why A4? – The Mathematical Beauty of Paper Size by umanwizard on Monday September 05, 2022 @01:45PM (#32727000)
They’re cognate to the French words maître and plâtre.
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Re:Why A4? – The Mathematical Beauty of Paper Size by saiya-jin on Monday September 05, 2022 @09:48AM (#32724252)
To keep discussion civil even with trolls creating new accounts just to post - what a bunch of nonsense sparkled with needless insults. You can do better than that.