Please explain my confused me like I’m 5 (0r 4 or 6).

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53 points
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When you consider the time as a number line, years are not points at integers (which would in some way warrant a year 0), but rather periods between them. Year 1 is the period between 0 and 1, and before that was -1 to 0, or year -1. There is no year 0, because there isn’t anything between 0 and 0

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7 points

That makes sense, but trying to square that off with the idea that the year 2000 is the start of the 21st century is hurting my head.

If year 1 is the 1st year, then surely the first year of the 21st century should be 2001?

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10 points
2 points
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The enumeration on the losing side of that debate is probably correct. But as a person who was in my early 20s in 2000, I’d like to offer what I will characterize as The Historical Context and Definitive Conclusion to This Debate.

No one actually gave a shit about that debate. Sure, it came up, but it did not alter anyone’s party planning. We weren’t actually celebrating the changing of the millennium, we were celebrating because we had a permission slip to do so. Any attempt to withdraw that permission was unwelcome.

In Paris on December 31st, 1999, at around 11pm local time, someone threw themselves in front of a metro. The trains were free that night (because it was the 100 year anniversary of their opening iirc), but because of that suicide, at least one of the train lines was substantially delayed. The streets from the center of the city to the north side were crowded well toward dawn as everyone chose to walk home instead of wait indefinitely in a stinky train station.

That person, who chose to end their life on the tracks that night, holds the core truth of the debate within his death: it’s a ridiculous debate and those who would fight for it should just stay the hell home and let the rest of us drink a lot and dance.

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2 points

Ohh, nice one!

The first convention is common in English-speaking countries, but the latter is favoured in, for example, Sweden (tvåtusentalet, which translates literally as the two thousands period).

I’m not sure that’s entirely true, most people in English speaking countries (and the world over) celebrated the millenium at the beginning of the year 2000.

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6 points
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It should all be zero indexed. Positional number systems like we write with are (600=0600) but our language isn’t, which causes this problem. Basically, if 2004 is the 20th century the gospels took place in the 0th.

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6 points

If year 1 is the 1st year, then surely the first year of the 21st century should be 2001?

It is. The system is confusing.

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4 points
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the idea that the year 2000 is the start of the 21st century is hurting my head.

That may be because it is not. The first century was years 1 to 100. The second was 101 to 200. The 21st is therefore 2001 to 2100.

What you’re probably referring to is the “cultural century” which was considered to have started when the lead digit changed from 1 to 2. The same thing happened quite recently when some people argued 2020 was the start of a new decade (again, it wasn’t)

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0 points

I hate it when people say it wasnt the start of a new decade, it’s a shit argument, why does it matter what the first year was, 2014 - 2024 is also a decade, and 2pm aest September 22nd 2024 will also be the start of a new decade. There is nothing wrong with saying 2020 was the start of a new decade. (again, it was)

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1 point

This explanation is unclear to me. Why do we choose the later of the two endpoints of the year for (0, 1) but the earlier of the two for (-1, 0)?

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4 points

The language is rooted in the same logic as people. Your first year was between the ages of 0 and 1. The first year before you were born is between -1 and 0. There is no 0th year because 0 is a point in time and not a range in time.

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1 point

Your explanation works equally well for any integer though. You could say the same of 1.

I think you’re saying that it’s a fencepost issue. But even for personal ages this doesn’t check out: for a year after you are born, your age is “0.” A one-year-old baby is in the following year.

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3 points

Because until the Middle Ages, Europeans were afraid of the number 0.

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2 points
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Absolute value. Both systems count time from the same epoch, or zero point.

One year before the epoch is 1 January 1BCE One year after the epoch is 31 December, 1CE.

Half a year before the epoch (-0.5 years) is June 30, 1BCE. Half a year after the epoch (0.5 years) is July 1st, 1CE. These dates occur within the first year before the epoch, and the first year after the epoch, respectively.

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1 point

Moving from too… not too from

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1 point
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Remember originally that -1 was 1 BC, meaning 1 year before the birth of christ. The negative numbers are measuring the distance away from 0.

Edit: in the positive direction, the 1 was 1 AD, meaning the first year of our lord. Just like when talking about the reign of kings/queens, the first year of their reign is 1 and the 14th year that they reigned is 14. I believe the timekeeping for Ages in LOTR may also be similar.

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-2 points

For the same reason why 1.5 is on the right from 1 but -1.5 is on the left from -1

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-2 points

If we were starting from scratch, it would probably be better to go with two year zeroes, so it would fit normally into positional number systems, and then you could even talk about 0.5AD for the relevant summer.

Unfortunately, positional numbering wouldn’t be invented in the old world until hundreds of years after the Christian calendar.

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7 points

The only positional numbering system I use daily (base 10) has only one zero. What system are you talking about?

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1 point
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Oh really? What do -0.25 and 0.25 both start with, and round to?

A reminder to read the original reply that started this thread. There’s two “zero-areas” between the one points and the zero point.

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1 point

So in your idea there would be year +0 and year -0 before it, right?

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1 point

floating point arithmetic on computers does suffer the existence of a negative zero. But it’s generally considered an unfortunate consequence of IEEE754.

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1 point
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Well, AD and BC(E) are the usual notation in this case, but yes. This is distinct from -0 and +0 in computation, because as OP says these are intervals rather than points.

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