Shape of ZERO

Today I want to tell you a story about zero. Not the zero at the end of a number, or the one a teacher writes on a test when everything has gone terribly wrong. I mean the ordinary little zero, the one I had seen hundreds of times before I ever stopped to wonder why something that supposedly meant nothing needed its own symbol.

I was still a child when I first asked that question. Our teacher had drawn a zero on the blackboard and told us that it represented nothing. I stared at the white chalk circle for longer than I should have. It seemed strange to me. Nothing was the space inside an empty drawer, the silence after somebody stopped talking, the part of the sky where there were no clouds. Nothing did not need to be drawn.

“If it’s nothing, why do we have to write it?” I asked.

She looked at me for a moment and then explained that sometimes we needed a way to show that there was nothing there. Everyone else seemed satisfied with that answer. I wasn’t.

That afternoon I asked my father. He was in the kitchen getting ready for work, already wearing his police uniform. His radio and keys were on the table beside his coffee.

“What is zero?” I asked.

He looked at me over the rim of his cup. “Zero?”

“Yes.”

“Nothing.”

“That’s what my teacher said.”

“Then why are you asking me?”

“Because I don’t think it is.”

He laughed, then reached into his pocket and placed two coins on the table. “Two,” he said. He picked them up again. “Now?”

I looked at the place where the coins had been. “The table.”

He laughed even harder.

“No, really,” I insisted. “There’s still something there.”

At the time I couldn’t explain what I meant. I only knew that removing the coins had not removed the place they had occupied. The table had not disappeared with them. Something remained, even if I did not have a name for it.

I forgot about the conversation eventually, or at least I thought I did.

Years later, zero came back to me through a computer.

The computer itself was nothing extraordinary. It was large, beige, slow and noisy, but I loved it. There was something comforting about a machine that followed rules. If I told it to do something correctly, it did it. If I made a mistake, it complained. Sometimes it complained in ways I did not understand, but at least there was always a reason.

Then I learned about binary.

I remember reading that everything inside a computer could ultimately be represented with ones and zeros. Photographs, music, words, programs, entire worlds on a screen, all reduced to two symbols.

One and zero.

Something and, apparently, nothing.

That bothered me immediately.

How could half of the language of a computer be nothing?

I started reading about bits and binary numbers, understanding a little more each time. One evening I discovered that adding a zero beside a one could completely change its value. I checked it again because I assumed I had misunderstood.

I hadn’t.

Zero was not doing nothing. Its position mattered.

I opened a text file and wrote:

ZERO IS NOT NOTHING.

That was the entire document. I saved it anyway.

I found it years later buried inside an old folder and laughed when I saw it. I had forgotten about the file, but apparently I had never really forgotten about the question.

By then I had begun noticing other kinds of zero too. Midnight on a digital clock: 00:00. The beginning of January. The first line of an empty document. A message written and deleted before anyone could read it. The moment after an argument when nobody knows who should speak first.

Some zeros felt peaceful. Others didn’t.

There was the zero after spending the last of something. The zero after somebody left. The zero that remained when plans disappeared and nothing had yet replaced them.

Those moments were supposed to be empty, but they never felt empty to me. An empty room can contain a surprising amount of somebody who is no longer in it. Silence can contain an entire conversation. A blank page can contain everything you have not yet decided to say.

Maybe that was what I had been trying to explain to my father all those years before.

The coins were gone.

The place where they had been was not.

I thought about it again one night while sitting in front of my computer.

I had been trying to fix the same problem for hours. I changed one thing and broke another. I fixed that and somehow created a completely different problem. Eventually I reached that particular stage of frustration where the computer begins to feel personally responsible for your suffering.

I closed everything.

For a moment I simply sat there looking at the empty desktop. Then I switched the machine off.

The screen turned black, and my own reflection appeared faintly in the glass.

For some reason I remembered the kitchen.

My father in his uniform. The radio on the table. Two coins.

“Now?”

“The table.”

I smiled.

I finally understood what eight year old me had been trying to say.

Zero is not always the absence of something. Sometimes it is the evidence that something was there before. Sometimes it is the space waiting for something that has not arrived yet. Those two things may look identical from the outside, but they are not the same at all.

I turned the computer back on.

When it finished starting, I opened the terminal. There was nothing there except the cursor blinking patiently on an empty line.

No command. No error. No mistake waiting to be corrected.

Just a beginning.

I typed the first command again. This time I went slowly. A few minutes later I found the problem: one character in the wrong place.

One character.

I fixed it, ran everything again, and it worked.

I sat there staring at the screen and started laughing. Three hours of frustration because of something so small, and somehow my mind had travelled all the way back to a chalkboard, two coins and a question I had asked as a child.

My teacher had not been wrong. Zero can mean nothing.

I just don’t think that is all it means.

Sometimes zero is where something ends. Sometimes it is where something begins. Sometimes it simply marks the exact point between the two.

And perhaps that is what I have always liked about it.

Zero never promises that the next number will be better. It never tells you what you are supposed to do next. It simply leaves a space and waits.

Sometimes that is all you need.

A place to begin.