A newborn has only seen 1 year, 2023. An infant born any time in 2022 has lived across 2 years. This simplifies things when you only need, or only have, someone's year of birth.
I remember that (some versions of) BASIC back in the day had an option to switch between 1-based and 0-based indexing, to appeal to both Fortran and C folks.
Julia lets you switch the index base too.
Finally a special mention for Mathematica, which appears to be 1-based, but in fact is a thinly disguised 0-based lisp, {a,b} is just List[a,b] is really just (List a b) so of course if you want b you ask for element 2, element 0 is the head and is just List.
⎕IO←0
0: intentionally started the indexes from 1 ;)1: https://en.m.wikipedia.org/wiki/APL_(programming_language)
How far out of school are you?
People from my year are the ones I lived with, did group projects with, worked until midnight trying to solve a difficult task that had been set, celebrated the last exam with, etc.
I certainly don't know the year for everyone. Students I mostly saw at parties, who studied different subjects (or went to different universities, for it was London) could easily be my year ±3 or more.
floor(1) = 1 and ceil(1) = 1 so I'm not sure how your names apply.