“We’ve now reached a point in our history where we have to describe nothing,” someone, with some sort of twisted brilliance, said at various points in human history to try to advance the cause of what we now call zero. “How can we properly appreciate the concept of something, without a concrete grasp of nothing?”   “But there’s always something,” his counterpart probably argued. “Is there nothing in the vast expanse of a desert? There’s sand, over one septillion of tiny grains of sand, and how many molecules litter the water of the vast quantities of nothingness in the ocean? Even in the vast expanses of space, there’s always something.”  Zero is not substantial when compared to the other numbers, and it’s not tangible, but how many of our current creations, and measurements for those creations, would be almost inconceivable without it? It’s been there for so long now that we take it for granted. Yet, it went through a long, slow, debated, and debatable gestation cycle. Even in the relatively limited historical record of ancient civilizations, such as those in Babylon, India, and the Mayan civilization, zero, or some semblance of zero, appears. We don’t know why it made an appearance numerous times in different civilizations. Its birth remains a mystery to us, because its purpose wasn’t defined. They invented the concept of zero, but there is no evidence to suggest that they developed it in a substantial manner. As with most theories, they appear to have failed to apply the concept of it to real world constructs, but we have to give them credit for developing the theory of it. Bottom line, their theory was probably as difficult for them to grasp as it was to explain, because there’s always something. Even if we laid four avocados on the ground and then removed them, there would still be the millions of granules of dirt beneath it, trees, leaves, and the micro organisms that feed on them. There’s always something. Scholars believe zero began its life as something to fill columns when humans advanced their attempts to count. When those who invented, developed, and applied a method of counting, they encountered a void after nine. Their question, how do we get past nine, and all the other nines that lead to ninety-nine without something to carry us to the next number. How do we get to eleven, twenty-one, and one hundred and one? India’s positional numeral system needed a zero to scale past 9, and their trade demanded it. They needed a placeholder, or something to fill the void. They didn’t start counting numbers with zero, but they wrote a placeholder in the tens, the hundreds, and the thousands to fill columns when necessary.   

In a Scientific American article, Charles Seife, author of Zero: The Biography of a Dangerous Idea (Viking, 2000), says “Filling columns is not a full zero. A full zero is a number on its own; it’s the average of –1 and 1.” “The Number Zero began to take shape as a number, rather than a punctuation mark between numbers, in India, in the fifth century A.D.,” says Robert Kaplan, author of The Nothing That Is: A Natural History of Zero (Oxford University Press, 2000). “It isn’t until then, and not even fully then, that zero gets full citizenship in the republic of numbers,” Kaplan says. Some cultures were slow to accept the idea of zero, which for many carried darkly magical connotations.   But Seife is not certain that even a placeholder zero was in use so early in history. “I’m not entirely convinced,” he says, “but it just shows it’s not a clear-cut answer.” He notes that the history of zero is too nebulous to clearly identify a lone progenitor. “In all the references I’ve read, there’s always kind of an assumption that zero is already there,” Seife says. “They’re delving into it a little bit and maybe explaining the properties of this number, but they never claim to say, ‘This is a concept that I’m bringing forth.’” Kaplan’s exploration of zero’s genesis turned up a similarly blurred web of discovery and improvement. “I think there’s no question that one can’t claim it had a single origin,” Kaplan says. “Wherever you’re going to get placeholder notation, it’s inevitable that you’re going to need some way to denote absence of a number.”

So, if the Babylonians developed a placeholder (a wedge) by 300 BCE, not a “full zero.” India’s leap—likely pre-Brahmagupta, with the Bakhshali manuscript (3rd-7th century AD)—was making zero a standalone number, and the Maya did it too, independently, by the 4th century AD, we might suggest that there is a well-defined trail but no clear-cut discoverer, inventor, or even a well-defined point of origin, of the number zero, as it was always just kind of there, but its functionality wasn’t even as clear to early users as the functionality of negative numbers appears to have been. If it was always kind of been there, but rarely used as a number, how did zero make the leap as a concept?   Why did the powers of the zero contain “darkly magical connotations?” As with all cultures, modern and otherwise, the unknown is beyond current capabilities to explain, so we assigned mystical, dark, and forbidden connotations to explanations of what we otherwise cannot. With that in mind, why did someone brave the “here, there be dragons” designation to further the concept, and what was the reaction among their peers?  What twisted, weird, and just plain different theoretician(s) sat in a bathtub and dreamed up ways to further the concept of nothing and zero. If he eventually managed to successfully sway his peers to accept the premise of this proposed furtherance, how did he answer their “And then what?” questions. Okay, we’ll accept the premise of your newfound importance of a zero, but what do we do with it? Theory is one thing, application is quite another. How do you propose we use it? What purpose will it serve? When we’re building a house, diagramming a structure, or figuring out how to use water in our fields, what purpose does a concrete explanation of nothing serve? Your point of reaching a greater understanding of something through nothing is a provocative one for pointy-headed intellectuals to consider in their philosophy caves, but how do we apply it to real world concerns? In my uninformed and admittedly limited search, I found no timeline specifically breaking down a concretized life cycle of the zero. Various points on the timeline state that it was discovered here, mysteriously listed there, and it appeared here, there, and elsewhere in the historical timeline, but in terms of some form of functionality it mirrors the resume of the misspent life of a cousin who did nothing in life. He was always there, but he never did anything noteworthy. No one knows how it happened, nor can they answer the when, where or why questions, but he became the star of the family one day.  The most interesting elements to the timeline of the zero are not the who and when, though they are interesting, but the philosophical push of how zero made its way into the halls of Physics, Calculus, Engineering, Geometry, relativity and quantum mechanics, and a large part of finance and economics to, in many cases, eventually lead the way to numerous modern advancements in these areas.  If dealing with natural numbers, i.e. 1,2,3 …, is dealing with tangible things and events, the zero provided more of an abstract idea for mathematicians. This provided mathematicians greater freedom from real world constructs and representational qualities into high-level abstraction. The eventual inclusion of the properties of the number zero was such that the advancements of modern mathematics would not be possible without it. Imagine being a renowned “genius” in one of the fields listed above, and you have a problem that has plagued you for much of your life. This genius has put this problem to a group of peers and his students for decades, and no one can solve it. The genius eventually labels this problem unsolvable, a 0̷, or no solution, until some egghead walked up to him in the town square, while he sipped on his brew and said, “Try putting a zero on it.” The renowned expert probably sent this egghead away with a “Yeah, great, Montenegro, now go home to your flock of sheep and your basket weaving, and leave me alone.” Until, the expert went home, and they hell’d it, and put that zero into his mind-boggling equation. Did the genius use the zero to solve the problem, or did he approach it in a way that he never considered before? Was the genius’ problem of solving for something only solvable by introducing the concept of nothing? It’s impossible to know if a representation of nothing had an epiphany affect on any one person soon after it was incorporated into theoretical or actual problems, but we have to imagine that the effects and affects were cumulative until we finally arrived at a collective epiphany that led us to fully incorporate it over time. A very brief and succinct description of our favorite number/non-number zero is that it flickered in ancient Babylon as a placeholder wedge by 300 BC, but India’s Bakhshali manuscript (3rd-7th century AD) and Brahmagupta’s 7th-century rules made it a real number. The Maya mirrored this leap by the 4th century, while Al-Khwarizmi carried it to the Islamic world in 825 AD. Europe, stubbornly resisted until Fibonacci’s 1202 Liber Abaci, finally caught on—linking India, the Middle East, and the West in a slow, vibrant chain. The research suggests that if Aryabhatta, Brahmagupta, Al-Khwarizmi, and Fibonacci, and the other brave souls hadn’t weathered the storms to bring zero to absolute indoctrination, the progress we know today, “the opening of the universe,” wouldn’t have been possible. Zero defines nothing and everything at the same time. It can be used as a point of origin, in positive and negative ways, and some suggest that those brave souls ended up furthering knowledge to advance Physics, Calculus, Engineering, Geometry, relativity and quantum mechanics, and a large part of finance and economics. The very idea that the “nothing is something and something is nothing” complex identity of zero ended up playing a starring role in science. In Calculus, for example, zero provides a tease of limits, where functions flirt with the abyss as values approach it. In relativity, zero-point energy keeps the universe buzzing even at absolute rest, and in binary code, 0 as “off” teams with 1’s “on” to whisper digital secrets to us. Mr. Zero, as we should now address his highness, or lowness, depending on how we choose to view him, transformed computers from clunky gear-spinners to sleek bit-flippers, while revolutionizing physics and engineering. Without zero, we might have to work with Roman numeral guesswork to form the precise calculations necessary to build bridges and figure out planetary orbits. If the geniuses listed here hadn’t developed a theoretical counterpoint to something, in these fields and others, we might have to leave such matters to vague speculation and our imaginations. Imagine that!  Zero is also one of the primary languages of the computer. We’ve all heard the phrase ones and zeroes. Zeroes are needed to create code and messages that the computer requires for functionality. If the properties of zero were never invented, discovered, and advanced, is it possible we wouldn’t have the knowledge or the technology necessary for the computer?   Even after everything it’s been through and everything it has accomplished for us, we still have no love for zero. The full zero, standing on it’s own, and the average between -1 and 1, represents absolute failure in the classroom, a complete condemnation of athletic ability on a scoreboard, and desperation when it appears alone in our bank accounts (zero involves some desperation, but not the total devastation the negative numbers create in our equations). We considered calling someone an absolute zero to be worst insult we could say about a person, until Billy Corgan came along and reminded us of its positive, negative and abstract qualities. We also thought we had a firm grasp on the traits of nothing, until the writers of Seinfeld redefined it and showed us how brilliant nothing could be. Now imagine going back to a time before zero to explain to the most brilliant minds in math and science how zero and its resulting revolutionary concepts have reshaped our world. “Achieving something is just as important in our time as it is yours,” we might say, “but the most brilliant minds of the civilizations, since your time, couldn’t have achieved half of what they did without fully developing and realizing the properties and possibilities of nothing.”