Grond:
I have read your theory regarding 'hai' meaning greater. Until recently this was my reading as well. This whole matter was first brought to my attention about 12 years ago when I was a little teenager interested in Role-Playing games. My favorite game was (naturally)
Middle-Earth Role-Playing, by Iron Crown Enterprises. In the game there were several different types of Orc-races, one of which was the '
Uruks', which the game claimed to be soldiers of both
Isengard and
Mordor. I had always thought that 'Uruks' were the sole property of Isengard, so I first looked Rober Foster's guide, and then re-read most of the passages we are discussing here. The conclusion I came to then was that
Sauron had Uruks,
Saruman had
Uruk-hai which were even bigger and meaner. What has become obvious in this debate is the aspect of sun-tolerance. Several characters remark on the ability of Saruman's troops to withstand sunlight-
Gamling,
Treebeard, and Saruman's troops themselves. Notably Gamling and Treebeard refer to the sunlight-tolerant troops as 'half-orcs', etc., while Saruman's troops refer to themselves as Uruk-hai. I believe that the easiest way to read this is that 'Uruk-hai' and 'half-orcs' are the same thing. If Sauron's
orcs were also sun-tolerant, then Gamling and Treebeard would hardly need to remark on it. Similarly, why would Saruman embark on a program to breed orcs and
men if he chose to only use them sparingly? Why not just use
Dunlendings as spies (they'd blend in better than goblin-men) and orcs as soldiers? The best answer I can come up with (supported by numerous quotes from the text) is that orcs crossed with men fight better during the day than the orcs of Sauron.
Now, combine the use of 'hai' for orcs with that of
Olog-hai: Olog-hai are apparently able to operate in the sun, as are 'troll-men'. Nothing says that these two are different
races, so therefore they
could be the same- hence Olog=
troll, '-hai' maybe='men'.
Looking futher: Oghor-hai is a name given to the
Druedain by unfriendlies (the orcs). Pukel-men and Wose are names given to the same people, also by fairly unfriendlies (the
Rohirrim). Pukel comes from Old English, Wose comes from Anglo-Saxon, and Ogre comes from Middle Germanic. All three of these are
languages that
Tolkien knew intimately. It is not only possible that he would tie them together by adding 'man', it is likely. In fact, no outside
race refers to the Druedain by anything but 'something-men', except for the possibility of the Orcs. If 'hai' is translated as anything other than 'men', then it becomes the exception in races giving names to the 'Druedain'. Why make an exception out of something we don't know the answer to?
Given this info, I think 'hai' translated as 'men' neatly applies to all three usages in Tolkien's works. 'Sunlight-tolerant' and 'Great' only do marginally well for the Woses, as the orcs would be unlikely to give them a compliment, and the orcs would also be unlikely to refer to other
creatures as 'sun-tolerant', it would just be an odd usage.