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From The Free On-line Dictionary of Computing (05 January 2017) [foldoc]:
zeroth
First.
Since zero is the lowest value of an unsigned integer,
which is one of the most fundamental types in programming and
hardware design, it is often natural to count from zero
rather than one, especially when the integer is actually an
index or offset, as used when addressing hardware and
arrays.
Hackers, computer scientists and pure mathematicians often
like to call the first chapter of a publication "Chapter 0",
especially if it is of an introductory nature (one of the
classic instances was in the First Edition of K&R).
Zero-based numbering tends to reduce fencepost errors,
though it cannot eliminate them entirely.
Logically, the next item after the zeroth should be the
"oneth" but this is never used.
[Dijkstra, "Why Numbering Should Start at Zero"
http://www.cs.utexas.edu/users/EWD/transcriptions/EWD08xx/EWD831.html].
[Jargon File]
(2010-02-28)