godnotgod
Thou art That
I'm not sure I agree because I don't really know what you mean by "define", "figure", and "ground". A human discerning a figure is quite different from a figure having a definition.
Not really. In both cases, a reference is required to determine that a figure exists. That reference is ground, without which there is no figure.
What I can say is this: you could make the black space white instead, except for some thin black line; or, you could cut out the figure entirely, and have absolutely nothing surrounding it (including whatever is meant by "ground"). In either case, the figure could still be defined.
Again, in both cases, there is a field against which one is able to discern the existence of the figure. In the first case, the thin black line becomes the ground, and in the second, you are now looking at a three dimensional object in space, space being the new ground. Glad you mentioned this, since in the third dimension, space becomes essential to solid, just as ground is to figure in the second dimension.
Admittedly, it's hard to picture in one's mind a figure with no environment around it; but it is still a formal possibility.
It's actually impossible.
For example, mathematicians can define all sorts of spaces and figures without invoking the existence of anything outside of them. The points inside a sphere are strictly sufficient to define the space inside a sphere, and so on.
A sphere is defined by its surface, in space. The outside has already been invoked by recognition of its existence. Whatever the outside is, is the ground against which one knows it is a sphere. Spheres have insides, and if they have insides, they necessarily have outsides.
Or, to take an example from physics: various possible spacetimes with different "shapes" can be defined all by themselves (perhaps including the spacetime of our universe, whether it be open, closed, flat, etc.), it is not necessary to refer to anything else outside/around it in order to define it. So, using your terminology, it seems to me that in general "figure" defines figure, and "ground" is an optional decoration.
What defines it as being 'closed'? You just said there is an 'outside' to it.
Like I said:
"You can agree or disagree with my answer, but you asked for it and I gave it. I'm sorry if it wasn't the answer you were hoping for. I think I've been a good sport about this and it's time for you to be a good sport, too. Instead of twisting MY answer into yours, why don't you give YOUR answer, and make whatever point you wanted to make? It's your turn."Maybe I'm wrong but you insisted I answer and I answered. My turn is over, now it's your turn to reveal the point.
The point cannot be arrived at until you see the essential relationship between figure and ground. Not sure, but I suspect the problem you are having is that ground is passive, and you are used to not assigning it any importance. That is typical of Western culture. Eastern culture takes both background and foreground into account. Why would anyone discard one in favor of the other? They both occur simultaneously. In fact, they're the same reality.
Question: Only in the example given (the image I first posted), and without any manipulation, such as cutting out the figure with scissors, etc.: can the figure exist without the ground?
Now, this is a really, really simple question that does'nt require much, if any, thought.
dust1n not only got it, he saw (after a couple posts) that figure and ground are essential to each other.
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