Then again, you can't really have a "side" of a spherical object can you!

Well, maybe inside and outside; though, as Morin demonstrated, even that's not strictly true for a hollow sphere; but I digress.

I guess we might call it the 'Dark Hemisphere'; but with 'dark' being so controversial, perhaps not.

The 'Far Hemisphere' suffers from the same problem as 'Next City'; just a teansy weansy bit short-sighted relatively (NOTE: not relativistically) speaking.

Of course, the 'Occulted Hemisphere' suffers the same problem, even if it wouldn't be condemn by great swaths of religious leaders.

How about the 'Lunar Hemisphere We Don't Normally See'? (Will the use of 'Normal' be controversial in some circles I wonder?)

Plus, good luck getting Pink Floyd to retroactively modify their lyrics to incorporate that.

Even Pink Floyd were somewhat ambivalent on the subject:

There is no dark side of the moon really. Matter of fact it’s all dark.
— Gerry O’Driscoll, doorman at Abbey Road Studios, ending “Eclipse”

Athanasius <°(((>< contra mundum

Iustus alius egestas vitae, eros Piratica,

The rest of us call it the dark side metaphorically.

Well.

1. No enlightenment without perception. Light is what reveals all things to the eye. Unseen, unrevealed, they remain in darkness.
2. From full moon towards new moon, the darkness from the dark side of the moon slowly creeps upon the bright side of the moon! The moon isn't turning around. But the new moon now has two dark sides.

So, let us refer to them two sides as "front" and "back". Or else.

Btw in average its indeed darker, cause earth light (see earthshine) never gets there.

But with the wire we can finally realize electrical street lights and illuminated craters.

UPDATE

> That said, there's nothing wrong for non-astronauts referring to it as the far side of the moon instead.

They must be predominant on Wikipedia. See far side of the Moon