# The Irksome Zero Matter in Semiotics I was working on the [[wiki/Semiotics|Semiotics]] wiki today, cleaning up the part about how opposites give each other meaning, and I ran into what I can only call the irksome zero matter. The idea itself is old and comfortable. Signs mean what they mean through difference. Good means something because bad exists; on means something because off exists. [[wiki/Structuralism|Structuralism]] built a whole discipline on that intuition, and Saussure put it in a sentence people still quote: in language there are "only differences without positive terms." I said a version of it on a [[livestreams/Reclaiming Selfishness, Balance, and the Whole Self, Part 1 - Livestream|livestream back in June 2016]]: positive and negative, yes and no, black and white, on and off, zeros and ones. Polarity is where the energy comes from. That talk became a Reminder, [[reminders/Language/Opposites Give Each Other Meaning by Bryant McGill|Opposites Give Each Other Meaning]], and it sits in the Semiotics node now. Then the zero showed up and would not sit still. ## One has two opposites In the [[wiki/Binary Opposition|binary opposition]] version of the story, one is set against zero. That is presence against absence, a mark against the blank page it is written on, a signal against silence. Every bit in every computer works that way. The one only carries information because a zero could have stood there instead. But mathematics has another opposite for one, and it is negative one. That is a different kind of relation entirely. Negative one is not the absence of one. It is its mirror image, and the mirror is zero. Zero is the point of symmetry that lets positive and negative be defined as reflections of each other. So the tidy pair turns into three terms: a ground, and a mirrored pair standing on either side of it. One draws meaning from its opposite and from the silence between them at the same time. Semiotics, when it talks about opposites, almost never brings this up, because the conversation stays in language, and language rarely needs a number line. Mathematics forces the issue because of [[wiki/Zero|zero]]. History has the same shape. Brahmagupta's *Brāhmasphuṭasiddhānta*, written in 628, treated zero as a number with its own rules, and in the same work set out rules for negative quantities as debts against fortunes. Chinese mathematicians had already used red and black counting rods for positive and negative amounts. Zero and the negatives came into arithmetic together, because once zero was a real midpoint instead of an empty place, there was finally somewhere for the mirror to hang. ## Zero is a strange sign The semioticians did notice zero, just from another angle. [[wiki/Roman Jakobson|Roman Jakobson]] wrote about the "zero sign" in 1939: a meaningful absence in language, the way the missing ending in "sheep" still signals plural. Brian Rotman's *Signifying Nothing: The Semiotics of Zero* argued that zero is a sign about the sign system itself, a marker for the place where counting begins. It is the one numeral that points at the act of pointing. That is also why it is irksome. Zero is the sign for nothing, and nothing keeps turning out to be something. It breaks division. Brahmagupta tried to tame it and declared zero divided by zero to be zero, which mathematicians have spent the centuries since politely declining. Put zero in the denominator and the arithmetic stops answering. I have been circling this for years from the other side. My journal entry [[journal/2023-06-12 - Silence and Non-Observation|Silence and Non-Observation]] begins from a sentence I keep coming back to: silence is more than observation; it informs from non-observation. [[wiki/Silence|Silence]], [[wiki/Negative Space|negative space]], [[wiki/Non-Observation|non-observation]], and zero are all the same uncomfortable guest. The unmarked region is what gives the figure its shape, and the moment you try to look straight at it, it becomes a figure, and the ground slides somewhere else. ## Hold it lightly I have a name for the feeling this produces: **non-duality vertigo**. It is the dizziness that sets in when a clean pair of opposites dissolves into the ground beneath it, and the ground turns out to be a sign too. The mystics call the destination [[wiki/Nonduality|nonduality]] and speak of it with great serenity. They say less about the spinning room on the way there. Here is my honest advice on non-duality vertigo: think about the zero matter a little, enjoy it, and then put it down. This is one of those topics that rewards a light touch and punishes a tight grip. If you are ever tempted to keep pulling the thread until it explains everything, remember the people who went furthest into the foundations of number and infinity. Georg Cantor, who gave us the sizes of infinity, spent long stretches of his later life hospitalized for depression. Kurt Gödel, whose [[wiki/Gödel's Incompleteness Theorems|incompleteness theorems]] showed that formal systems cannot prove everything true about themselves, died in 1978 after paranoia left him unable to eat. Ludwig Boltzmann, a physicist who fought the establishment over the reality of atoms, took his own life in 1906. In a [[livestreams/Releasing Anxiety by Reexamining the Stories We Carry - Livestream|livestream on anxiety]], I talked about how the institutions of mathematics pressed down on people who questioned the agreed-upon foundations. The romance around "genius and madness" is overstated, and their suffering had many causes, but the foundations are a lonely place to live. The better posture is [[wiki/Epistemic Humility|epistemic humility]] with a smile. Zero is a ground, a mirror, an absence that means something, and a sign about signs. It does not have to resolve today. Leave it in the wiki, where the thought can sit with its neighbors, and go do something with the ones. ## Related topics - [[wiki/Semiotics|Semiotics]] - [[wiki/Zero|Zero]] - [[wiki/Binary Opposition|Binary Opposition]] - [[wiki/Negative Space|Negative Space]] - [[wiki/Silence|Silence]] - [[wiki/Non-Observation|Non-Observation]] - [[wiki/Nothingness|Nothingness]] - [[wiki/Nonduality|Nonduality]] - [[wiki/Structuralism|Structuralism]] - [[wiki/Roman Jakobson|Roman Jakobson]] - [[wiki/Gödel's Incompleteness Theorems|Gödel's Incompleteness Theorems]] - [[wiki/Mathematical Foundations|Mathematical Foundations]] - [[wiki/Epistemic Humility|Epistemic Humility]] ## Related blogs - [[blog/20261016 - The Human Language Model|The Human Language Model]] - [[blog/20261016 - Pivoting Vowels in the Dark|Pivoting Vowels in the Dark]] - [[blog/20261007 - Mathematics Is Over|Mathematics Is Over]] ## Related articles - [[projects/Ten Years Building a Symbolic Language Engine|Ten Years Building a Symbolic Language Engine]] - [[journal/2023-06-12 - Silence and Non-Observation|Silence and Non-Observation]] - [[livestreams/Reclaiming Selfishness, Balance, and the Whole Self, Part 1 - Livestream|Reclaiming Selfishness, Balance, and the Whole Self, Part 1]] - [[livestreams/Releasing Anxiety by Reexamining the Stories We Carry - Livestream|Releasing Anxiety by Reexamining the Stories We Carry]] - [[reminders/Language/Opposites Give Each Other Meaning by Bryant McGill|Opposites Give Each Other Meaning]] - [[articles/The Ramanujan Mathematical Universe|The Ramanujan Mathematical Universe]]