In some cultures you are considered 1 the moment you are born, so the zero indexing isn't universal here, but typical in North America as noted earlier.
You can't possibly be serious.
Is the empty set countable? (Yes.)
Dictionary:
nat·u·ral num·bers
the positive integers (whole numbers) 1, 2, 3, etc., and sometimes zero as well
Countable:
https://en.wikipedia.org/wiki/Countable_setSet theory:
> Equivalently, a set S is countable if there exists an injective function f : S → N from S to N; it simply means that every element in S corresponds to a different element in N.
Defining N is usually done via a successor set, on which case 0 makes no sense to include.
Standard construction of ordinals is that each ordinal is the set of all its predecessors. (0 has no predecessors , hence 0 is the empty set.) (And so finite ordinals have the same ordinaliity as cardinality).
Birthdays are clearly 1 indexed, the first birthday is indexed with 1, and not with 0.
Birthday[0] gives you an out of range exception, since there is no birthday called 0th. Birthdays are [first,second,..] indexed from 1: brithday[1] = first, birthday[2] = second, and so on. That's what indexing a series from 1 means.
Suppose your job is to count some events. You check in for work at 8:00 a.m., but the first event has not registered until noon. By your logic you should not be paid for four hours, because you're paid to count, and counting started at 1.
Your pedometer?
Your traffic clicker?
We are talking about the he numbering, not the work-doing.
You start waiting at 8, and you wait between events. But you only count (increment) when an event happens.
The 0 comes for free when you are ready to count (hello golang and C++, as well as human intuition).
When you count stars in the sky you don't say "0, 1, 2".
You say "..., 1, 2", or if no stars show up, you say "there are 0" after timer expires.
Increment what?
> When you count stars in the sky you don't say "0, 1, 2".
No, you say, "I'm going to start counting stars now. Okay, 1, 2, ...".
The preparation part is the zero. You counted stars before and reached some number; you're not starting at that number.
If you just look at an empty space, the # of apples is equivalent is equivalent to the # of dinosaurs, but they're only equivalent by their absence.
I then put it in an initially empty bowl
The milliliters in a baker's cup are a scale based on 0!
nitpick: unless you were born on Feb 29.
The nice part is that now February 29 "just works" the downside is the impedance between how months and days are numbered and a how an offset from the epoch(beginning of the year) is defined. January 3rd(1-3) is stored as "0 months 2 days" as when it hits, 0 months have passed and 2 days have passed.
So the specific case of February 29 hits when 1 month has passed and 28 days have passed. 3 years out of 4 this will be the same as "2 months 0 days"(3-1) but every forth year this will be(2-28). As an aside, and the specific reason I went with interval types, every event past feburary 29 works just fine with or without a leapyear, that is, the extra day in the middle does not mess up the offset to days after it.
Honestly I curse a little as I wish months and days were 0-based. At least clocks get this right, almost, 12 hour clocks are a special breed of stupid. start at 12, then go to 1 and proceed up to 11. 24 hour clocks properly start at 0. The worst part about 12 hour clocks is that it is almost correct, replace the 12 with a 0 and it every thing be the same but now it makes sense from a moduler math point of view.
A special curse is reserved when I think about how there is no year zero. https://www.postgresql.org/docs/13/functions-datetime.html#F...
If that's the case, then how did the ancient Greeks or Romans count before zero was an acceptable concept in their counting system?
There is a narrowing from "nothing at all" to "zero apples" which doesn't happen 'in the world' but is a necessary precondition to counting apples. The existence of any apple is a requirement for there to be zero of them before you put anything in the basket.
That is not the case with age or birthdays which are, thankfully, zero indexed. The first year of human life is age=0, birthdays=0.
0. https://en.wikipedia.org/wiki/Astronomical_year_numbering
1. https://docs.oracle.com/javase/8/docs/api/java/time/temporal...
So as far as your job is concerned, that's when they start. Hope that helps.
Your first birthday is the first anniversary of your birth day.
We celebrate the anniversaries of our birth day.
Another definition might be from conception. But birth being “one year old” is illogical. The sperm didn’t even exist yet, one year before birth.