(AR, AUR, AIR, ARaR, ARaM) and cognates all go back to the basic meaning of "bare," or exposed.
(AIR) shows up first alphabetically. It is translated "city" and "watch(er)," assuming an open area and/or a place that needed the watchful (and open) eye of a guard. This word is said to be from
(AUM) which is translated "awake," "bare," "chaff," "skin" and even "blind," each with the idea of something spread out in the open - eyes, skin, grain, or eyes glazed over as with a skin.
(AR) comes from rye and is another spelling for "city," but is also translated "enemy" as coming from . The root 
(ARaM) seems be related less directly, but leads to the two translations of 
(AROM) so tantalizingly presented early in Genesis. Mre means either "to gather up" (from harvesting, and thus laying bare the ground?) or "to be prudent" (to be watchful, with "bared" eyes). A field denuded of its produce would be naked, and likewise, one who is prudent would have to have his eyes, and mind, wide open.An unusual justaposition of two uses of the Hebrew word
appears in Genesis 2:25 and 3:1. The concordance has two entries, 06174 and 06175.Here are the two together:
Ge 2:25 And they were both naked (06174), the man and his wife, and were not ashamed.
Ge 3:1 Now the serpent was more subtil (06175) than any beast of the field which the LORD God had made. And he said unto the woman, Yea, hath God said, Ye shall not eat of every tree of the garden?
I have replaced (06175) with (naked) in every case, except for the oldest (Genesis and Job) in a positive sense of "prudence" rather than "subtle" as with the serpent.
But let us consider the translation in its purest sense as ALWAYS "naked."
Ge 3:1 Now the serpent was more subtle (naked) than any beast of the field which the LORD God had made. And he said unto the woman, Yea, hath God said, Ye shall not eat of every tree of the garden?
"The serpent was more naked (being hairless!) than any beast of the field." Indeed, the reptile has no hair, and in that way may be considered like man (whose hair was fine and nearly invisible). This lends to the rather ridiculous notion that Satan actually seduced Eve in a human-like form. But it makes sense taken literally.
Job 5:12 He disappointeth the devices of the crafty (naked), so that their hands cannot perform their enterprise.
God, it is said, frustrates the plans of the naked, so that they cannot get things done. It seems that these poor saps just don't have the tools needed to do the job!
Job 15:5 For thy mouth uttereth thine iniquity, and thou choosest the tongue of the crafty (naked).
Job is accused of admitting himself to be a sinner by cursing like a naked drunkard [choosing the tongue of the {shamefully} naked].
Pr 12:16 A fool’s wrath is presently known: but a prudent (naked) man covereth shame.
"The naked cover shame," a rather prudent act for sure. Meanwhile, the fool's angry rantings are out in the open.
Pr 12:23 A prudent (naked) man concealeth knowledge: but the heart of fools proclaimeth foolishness.
The naked man covers what is known (that is, his nakedness). But fools make their foolishness known to all.
Pr 13:16 Every prudent (naked) man dealeth with knowledge: but a fool layeth open his folly.
He who is naked acts with wisdom, but a fool lets everyone see his foolishness.
Pr 14:8 The wisdom of the prudent (naked) is to understand his way: but the folly of fools is deceit.
The wisdom of him who is naked is that he knows how to act discretely, but fools are just sneaky!
Pr 14:15 The simple believeth every word: but the prudent (naked) man looketh well to his going.
Whereas the naive will trust your words, he who is naked well aware of his surroundings.
Pr 14:18 The simple inherit folly: but the prudent (naked) are crowned with knowledge.
Whereas the naive live with fools, they who are naked are surrounded by those who understand.
Pr 22:3 A prudent (naked) man foreseeth the evil, and hideth himself: but the simple pass on, and are punished.
Pr 27:12 A prudent (naked) man foreseeth the evil, and hideth himself; but the simple pass on, and are punished.
He who is naked perceives evil intent and covers himself, but the naive will sin and face judgment.
The word's simple meaning is plainly to be "bare" with no pretense of self-importance. We are known fully by God, who sees through any pretense we might set forth. In the garden, Adam and Eve were fully open with one another. And then another naked creature seemingly opened itself to the same scrutiny, offering full disclosure of something he said had been covered up. That creature was inhabited by the Chief Liar of the universe.
But the nakedness the serpent displayed, an openness to discerning what is bad for relationships, is seen in those who are truly wise -- the "naked of spirit." Or perhaps, even in those who live "au naturale" in a spirit of openness most of us have a trouble with even within marriage! In these Proverbs a naked person is seen to be wise in deciding where he goes and with whom he associates. From covering himself among strangers (12:16, 23) to discreet behavior among friends, the "Edenist" is wiser than those who have things to hide. A naturist, being keenly aware of his surroundings, can sense when those who sneak in to gawk at him. He will not grant such evil desire, but will cover himself (27:12).
It doesn't work well the other direction:
Ge 2:25 And they were both naked (prudent), the man and his wife, and were not ashamed.
OK. So we have the first couple before the fall, unashamedly wise beyond their (apparent) years. Hmmm.
1Sa 19:24 And he stripped off his clothes also, and prophesied before Samuel in like manner, and lay down naked (prudent) all that day and all that night. Wherefore they say, Is Saul also among the prophets?
Well, perhaps this is not as redundant as at first translated. Without clothes, he would be naked. But to prophecy he must have some reason left, thus "prudence"?
Job 1:21 And said, Naked (prudent) came I out of my mother’s womb, and naked (prudent) shall I return thither: the LORD gave, and the LORD hath taken away; blessed be the name of the LORD.
Nope, that won't work. A newborn baby is not "prudent," for he cannot reason about anything. He is totally dependent upon animal instincts at that point. And as naked as the day he was born! And, though one may be wise when he dies, it is not the body that has the smarts.
Job 22:6 For thou hast taken a pledge from thy brother for nought, and stripped the naked (prudent) of their clothing.
Job is being accused of taking advantage of his neighbors. No carefully reasoning man would allow himself to be treated like that. Unless, of course the naked man didn't want the clothes in the first place. But then, it wouldn't be so bad to take them, would it?
Job 24:7 They cause the naked (prudent) to lodge without clothing, that they have no covering in the cold.
Here we have paralellism. No clothing and no covering, pretty much leaves one naked and in the cold. For a wise man to seek lodging when he has no clothes makes sense, but then, to be out in the cold without covering is definitely not wise.
But - [They cause the prudent to grumble, being without clothing and no covering in the cold] - makes sense out of context. But in context, the sin is in mistreatment of the poor.
Job 24:10 They cause him to go naked (prudent) without clothing, and they take away the sheaf from the hungry;
As above, the disinfranchised is being sinned against. Taking a prudent man's clothes is not the same thing as taking a hungry man's food.
Job 26:6 Hell is naked (prudent) before him, and destruction hath no covering.
Pure parallelism. Hell=destruction, naked=no covering.
Alternate: "What he asked for is laid bare in front of him, but destruction is just as sure."
Ec 5:15 As he came forth of his mother’s womb, naked (prudent) shall he return to go as he came, and shall take nothing of his labour, which he may carry away in his hand.
As with the passage in Job, a baby is not prudent, though an old man may be in his choices before death.
Isa 20:2 At the same time spake the LORD by Isaiah the son of Amoz, saying, Go and loose the sackcloth from off thy loins, and put off thy shoe from thy foot. And he did so, walking naked (prudent) and barefoot.
Isaiah is told to drop his drawers and take his shoes off to boot. Nothing quite like opening yourself to the scrutiny of the enemy to make one wise!
Isa 20:3 And the LORD said, Like as my servant Isaiah hath walked naked (prudent) and barefoot three years for a sign and wonder upon Egypt and upon Ethiopia;
Isa 20:4 So shall the king of Assyria lead away the Egyptians prisoners, and the Ethiopians captives, young and old, naked (prudent) and barefoot, even with their buttocks uncovered, to the shame of Egypt.
Isaiah's message is clear - as I am now, so you will be very soon! Naked and barefoot!
Isa 58:7 Is it not to deal thy bread to the hungry, and that thou bring the poor that are cast out to thy house? when thou seest the naked (prudent), that thou cover him; and that thou hide not thyself from thine own flesh?
In context, the poor soul in need of covering is no doubt naked and not liking it.
Ho 2:3 Lest I strip her naked (prudent), and set her as in the day that she was born, and make her as a wilderness, and set her like a dry land, and slay her with thirst.
A very stark picture of the inhumane treatment of the treatment of a newborn or miscarriage, abandoned to die by the side of the road.
Am 2:16 And he that is courageous among the mighty shall flee away naked (prudent) in that day, saith the LORD.
OK. This one almost works the other way - "Just as courageous men flee, so shall the prudent"
Mic 1:8 Therefore I will wail and howl, I will go stripped and naked (prudent): I will make a wailing like the dragons, and mourning as the owls.
The prophet is making a racket. "Stripped and wiser (!??)," he sounds like a wild animal. Not likely. Again, it "stripped and naked" just go together.
The shamefully naked, whether by design or from mistreatment, are far from discerning in their relationships. They understand only their distraught condition. They need relief. Nakedness, if not innocent, is sin. Since we all battle sin, in its many guises, very few of us can uncover our insecurities, to be truly "aromic," without shame. Ours is a city with walls, with its guard always up. We are always wary of others who charm us with an open face, for so few are pure. Our eyes are "peeled," looking for the dangers of those who just as cunningly look to take advantage of any "opening" they can find.
Open wide and say "ARR."
