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On clock faces, 4 is Expressed as IIII, not IV

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Re: On clock faces, 4 is Expressed as IIII, not IV

#51
post #9

The reason that I heard was that it was easy to mass-engrave a single plate: VIIIIX For each clock, you make 4 of these, and split each block into numbers the following way: V IIII I X VI III IX (mirror the IX for 11) VII II IX VIII IIX This lets you mass produce watch numbers with a minimum of wasted material.

Doesn’t that also work for IVIIIX?

Re: On clock faces, 4 is Expressed as IIII, not IV

#52
post #10

I wonder how much Roman numerals are even taught any longer. Maybe 5 years ago now I was traveling with a friend who went to a solid US suburban high school outside of a major city. Younger than me but certainly not young. And she asked me what a date written in Roman numerals was in the numbering system we normally use. I was somewhat floored. Thinking about it though. It sort of is cultural/historical trivia. How m…

The most important use for teaching Roman numerals that I see is learning that bad abstractions (here: a number system) can be made to work, but they still suck. The solution is to find better abstractions. Maybe it inspires curiosity in how (well) modern maths works.

> bad abstractions (here: a number system) can be made to work, but they still suck

The only really bad thing about Roman numerals is non-positionality, and it kinda follows naturally from them being merely transcriptions of the states of the 5+2-beads abacus that was popular back then. If only the norm back then were the 10-beads abacus... alas, the history is what it is.

Re: On clock faces, 4 is Expressed as IIII, not IV

#54
post #51
post #9

The reason that I heard was that it was easy to mass-engrave a single plate: VIIIIX For each clock, you make 4 of these, and split each block into numbers the following way: V IIII I X VI III IX (mirror the IX for 11) VII II IX VIII IIX This lets you mass produce watch numbers with a minimum of wasted material.

Doesn’t that also work for IVIIIX?

That’s six letters. The full set I through XII uses 26 letters (if you use IV) or 28 (if IIII), so there will be some wastage.

Re: On clock faces, 4 is Expressed as IIII, not IV

#55
post #38

Earlier quoted context omitted.

the point is that you can have a single die that cuts XVIIIII, and use it iv times and get what you need for I II III IIII V VI VII VIII IX X XI XII this is not for modern manufacturing of millions, it's for one at a time clockmaking in a little shop, for which it's a pretty efficient way to accomplish the task and doesn't require keeping an inventory

Wouldn't that also work with IXIVIII on the die? How do you print IX with yours? An improvement would be IXIVIII actually, then all combinations can be located in that string.

No, because you need a 5th V for IV. Adding a V is more overhead than adding a I, and will give you 3 V's you have no use for.

Re: On clock faces, 4 is Expressed as IIII, not IV

#56

The third image they show uses IV.

As much as the IIII has bothered me over the years, actually seeing IV on a clock face makes me think IIII is the right choice.

That said, I always go with Arabic numerals, so it's a moot point for me, practically speaking.

Re: On clock faces, 4 is Expressed as IIII, not IV

#57
post #48

I had heard that IV might be considered sacrilegious, as the god Jupiter would have once been spelled IVPPITER, as I was used for modern J and V for modern U.

There is a similar thing with Hebrew numerals¹ where 15 and 16 are usually written as תו and תז to avoid what would otherwise be forms of the name of God. ⸻ 1. The Hebrew numeral system, like the Greek numeral system is an almost-decimal system in that different letters are used for each of the different values, but the letters change by place value as well as by their individual value, so, e.g., 21 is written כא whe…

To clarify, those are 9 + 6 and 9 + 7; the forms to be avoided would be 10 + 5 and 10 + 6.

Re: On clock faces, 4 is Expressed as IIII, not IV

#58
post #48

I had heard that IV might be considered sacrilegious, as the god Jupiter would have once been spelled IVPPITER, as I was used for modern J and V for modern U.

There is a similar thing with Hebrew numerals¹ where 15 and 16 are usually written as תו and תז to avoid what would otherwise be forms of the name of God. ⸻ 1. The Hebrew numeral system, like the Greek numeral system is an almost-decimal system in that different letters are used for each of the different values, but the letters change by place value as well as by their individual value, so, e.g., 21 is written כא whe…

Interesting. I wonder if this is related to how Germans count/pronounce numbers. 21 in your example is "einundzwanzig" in German (or "ein-und-zwanzig", "one-and-twenty")

Re: On clock faces, 4 is Expressed as IIII, not IV

#60

IMHO there's an obvious reason not mentioned: due to their position on the dial and convention IV and VI would typically be depicted upside down, increasing the likelihood of confusing them—particularly with a semi-literate populace.

semi literate populace did not have watches though...
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