In order to have a positive relationship with "nothing," it's key to understand what "nothing" means. As the classical philosophers were fond of saying, "nothing" doesn't exist. That is, we should not reify "nothing." To say that an empty set contains nothing is not to say that it has a population of 1-- if that were the case, it would not be an empty set. There is no such thing out in the world that we rightly call "nothing."
"Nothing" is useful to me primarily as a placeholder word, to point at my experience of emptiness, lacking, absence. None of these words-- nothing, emptiness, lacking, absence-- refer to actual existing things. They always point to the space in which I might have otherwise expected or hoped for something. These words stand in that space and represent it without filling it; they represent the very emptiness of that space. To feel an emptiness is to feel oneself defined (and some might add, tormented) by absences. I consider the word "nothing" important because it expresses the presence of absence as a recurring aspect of human experience.
"The presence of absence"-- I can make you understand this first of all as a sad phrase, although I hope later to also show you the positivity and power in it. But for now-- "the presence of absence" is surely understood by anyone who has experienced the death of a loved one, the end of a relationship, the loss of a treasured possession, or the inability to know the right words or actions in a difficult moment. Absence can be palpable in our experienecs, even if "absence" is not an actual, palpable thing.
My examples in the paragraph above show up in every life, and so I believe that anyone can understand why I make such a big deal out of "nothing." Humans, as beings of both limit and potential, are greatly defined by what is not. And so "nothing" (and its family-- emptiness, lack, absence) is a word/concept that each individual would do well to face directly and ponder intimately.