Why is the alphabet in alphabetical order?
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I assume the meaning of alpha and beta as first and second comes from their place in the alphabet.
It's strange for me to imagine it the other way round.
Omega -> O, Mega (large "O")
Omicron -> O, Micron (small "O")
aleph, bet (vet), gimel, dalet, hey, vav, zayin, chet, tet, yud, kaf (chaf), lamed, mem, nun, samech, ayin, pey (fey), tzadi, kuf, reish, shin (sin), taf
Most letters make the same sound as the beginning of their names, and it's not hard to see the parallel to the Greek alphabet. (Note that in Hebrew, vowels are not letters, just markings above and below the letters. Aleph and ayin used to be guttural letters, but in modern Hebrew they sort of just function as glottal stops.)
26 factorial = 4.03291461e26
pick your favorite.
The "ABC" ordering probably won for the same reason as the "QWERTY" layout won in the U.S: because that's what everyone learned with, so that's what everyone teaches with.
There's going to be some "canonical" order for something like an alphabet, and whatever order that was, we'd be sitting here today asking "Why this order?" If there is no obviously better order, then this one's simply as likely as any other.
Recitation seems unnecessary in teaching alphabets and as long as numbers are well-known and are distinct from letters, then they could be used to order items in daily life.