However, do you really mean you can tell that a particulary bino is a wide view or not by knowing its AFOV alone?
It's become clear that even this question is subject to confusion. Some said YES above because they thought you meant "is a wide field binocular", which is
defined in terms of AFOV as I said; but if by "is a wide view" you only mean has a wide
real field, then the answer is NO, you cannot, not without factoring in its magnification. But often when making such comparisons one is thinking about one particular magnification like 8x, and in that case YES, an 8x bin with a wider AFOV than others will also have a wider RFOV.
That is true for the same simple mathematical reason that everything else we've said here is; it all boils down to this one equation (only an approximation to the ISO/tangent formula, but even that isn't exactly right due to eyepiece distortion, so if necessary just ignore the trigonometry and accept that the following will do well enough):
AFOV ≈ mag * RFOV
Apparent and real fields are
roughly proportional, according to the
magnification of an instrument. That's what magnification
is, what it does: it makes everything look so many times bigger. Once you understand this it's really simple, and there can be no further confusion.
I didn't think.that real FOV increased just because AFOV increased for the same magnification. Am I missing something?
Apparently, because of course it does. That's exactly what the equation says. (See Henry's sample calculation in #277.)
Analogies matter, are useful.
I see nothing wrong with the Tom's TV analogy.
You are seeing the same picture through two different size windows.
No, we are not talking about alternate modes of learning here. Analogies
don't help when you can't even tell whether they're correct, because you don't understand the underlying principle yet. (The
diagram in post 234 could help, because it correctly illustrates the relationship involved.) I am not going to dissect the faulty TV analogy again; even Dorubird's window analogy doesn't convey the role of magnification, which is central to all the confusions here. Few other things work quite the way telescopes do, so you're really not going to understand them by analogy. You simply have to learn how they work.