The article introduces three types of dependencies.
The first is causal dependency:
Without a cloud, there will be no rain; without rain, the trees cannot
grow; and without trees, we cannot make paper. The cloud is essential
for the paper to exist. If the cloud is not here, the sheet of paper
cannot be here either. We can say that the cloud and the paper
inter-are. “Interbeing” is a word that is not in the dictionary yet,
but if we combine the prefix “inter-” with the verb “to be,” we have a
new verb, “inter-be.”
If we look into this sheet of paper even more deeply, we can see the
sunshine in it. If the sunshine is not there, the forest cannot grow.
In fact, nothing can grow. Even we cannot grow without sunshine. So we
know that the sunshine is also in this sheet of paper. The paper and
the sunshine inter-are. And if we continue to look, we can see the
logger who cut the tree and brought it to the mill to be transformed
into paper. And we see the wheat. We know that the logger cannot exist
without his daily bread, and therefore the wheat that became his bread
is also in this sheet of paper. And the logger’s father and mother are
in it too. When we look in this way, we see that without all of these
things, this sheet of paper cannot exist.
The second is compositional dependency:
In our bodies we have lungs, heart, kidneys, stomach, and blood. None
of these can exist independently. They can only coexist with the
others. Your lungs and your blood are two things, but neither can
exist separately. The lungs take in air and enrich the blood, and, in
turn, the blood nourishes the lungs. Without the blood, the lungs
cannot be alive, and without the lungs, the blood cannot be cleansed.
Lungs and blood inter-are. The same is true with kidneys and blood,
kidneys and stomach, lungs and heart, blood and heart, and so on.
The third is conceptual dependency:
Looking even more deeply, we can see we are in it too. This is not
difficult to see, because when we look at a sheet of paper, the sheet
of paper is part of our perception.
The concept of the paper in our minds depends on our perception of the paper through our senses. In this way, the mental concept of the paper depends on the perception of the paper.
Next, the article introduces the Mahayana concept of emptiness and self:
If we ask, “Empty of what?” he has to answer. And this is what he
said: “They are empty of a separate self.” That means none of these
five rivers can exist by itself alone. Each of the five rivers has to
be made by the other four. It has to coexist; it has to inter-be with
all the others.
In our bodies we have lungs, heart, kidneys, stomach, and blood. None
of these can exist independently. They can only coexist with the
others. Your lungs and your blood are two things, but neither can
exist separately. The lungs take in air and enrich the blood, and, in
turn, the blood nourishes the lungs. Without the blood, the lungs
cannot be alive, and without the lungs, the blood cannot be cleansed.
Lungs and blood inter-are. The same is true with kidneys and blood,
kidneys and stomach, lungs and heart, blood and heart, and so on.
When Avalokita says that our sheet of paper is empty, he means it is
empty of a separate, independent existence. It cannot just be by
itself. It has to inter-be with the sunshine, the cloud, the forest,
the logger, the mind, and everything else. It is empty of a separate
self.
The Mahayana self refers to the self of things, not self of persons. That means, the separate existence of a thing. And the Mahayana emptiness means everything is empty of a self, meaning everything is empty of a separate existence of a thing. And why is this the case? This is because everything is subject to the three types of dependencies - causal, compositional and conceptual dependencies. Nothing can exist independent of each other.
How did things come to have a self? That is, how did things come to have separate existence? How did a single piece of paper become objectified and classified into a single piece of paper?
That happened in our mind. It's called reification or objectification-classification or papanca in Pali or prapanca in Sanskrit. We objectify and classify things relative to our self i.e. into things which are self and non-self, things which are related or unrelated to our self, things which are a threat or which profit ourselves etc. A single piece of paper is a single piece of paper because a human observer said so.
If a tiny ant walks on a piece of paper, it might classify the paper differently compared to how a human does it. A snail might look at a piece of paper and classify it as a type of food it can eat.
So, how many pieces of paper are there? Well, that depends on you.
You might also find this question interesting, where I try to link Mahayana emptiness to Theravada emptiness, through papanca.