The Fundamental Theorem of Algebra states: Every polynomial equation having complex coefficients and degree ≥1 has at least one complex root. A complex number has the form a + bi, where a and b are real numbers (which are numbers like 1, -½, π, 507,857, etc.) and i is the square root of -1. So, the Theorem says that, if you have a polynomial (such as 17x3 + 2x2 + 8), with complex numbers multiplying the x’s you can always find a way to write this polynomial as a product of complex numbers.

This is incredible! In my high school algebra class, we kind of glossed over complex roots, which made equations like x2 + 4 = 0 impossible to solve. But, if you throw in an i, suddenly all real polynomials have complex roots. To quote Professor Michael King, “Pretty much any number you can think of can be written as a product of complex numbers.”

i is called the “imaginary unit.” Because of this, i gets the reputation of being—in contrast to the “real” numbers—something that doesn’t actually exist. However, real numbers (and integers and natural numbers) don’t actually exist any more than complex numbers. Numbers aren’t things that we hold or see or smell, but ideas that can signify many things, and the ways that mathematicians use and understand numbers has been changing for as long as we’ve been counting.

As a liberal, it can be hard to talk about God. In the United States, we are morally determined to keep church away from state, to keep one ideology from seeping into and influencing another. This was made apparent to me in third grade, when my public elementary school stopped saying the Pledge of Allegiance because they didn’t want to impose the “under God” onto little kids. We often talk about “those conservative Christians” who are trying to teach kids Creationism at the expense of our beloved Science. In the mainstream conception of America, the state government dictates social interaction, the public sphere, while religion guides people’s separate, private lives.

The “under God” bit is not the most insidious part of the Pledge of Allegiance. The blind patriotism of flag worship is creepy, and it seems delusional to claim that there is “justice for all” in an America stratified by enormous wealth inequality and violently divided by race. Today, a flag stands on Bowdoin’s main quad, that same flag that has been used to justify years of war, colonialism and systemic discrimination. The American flag towers over the campus, but we downplay any signs of religious denomination in our chapel, where religion becomes something extra-curricular, welcome at Bowdoin but not a part of mainstream life.

As our American flag testifies, institutions like Bowdoin believe and worship all kinds of things. It’s amazing how much faith and trust must go into just buying something at the C-Store. We swipe a plastic card in a machine to change the balance on a student’s account, which is connected to an account at a bank, which is connected to countless people and institutions. But for any of that to happen, we all have to agree that money has value, and the little numbers on a screen mean the same things as money. We have to feel guilt and shame when we can’t pay money we owe, and feel happy when we have a lot of money. Bowdoin has enormous power, after all, because of its huge endowment, the result of an enormous amount of financial knowledge and power. Because we can do more when we have more, money is an easy way for Bowdoin—and the people in it—to compare its worth against their peers.

There’s something interesting about complex numbers. Unlike the real numbers, the set of complex numbers is not an ordered set. While we all know that 5>2, it doesn’t even make sense to make these kinds of statements about complex numbers. To graph a complex number, you need two axes, and you can see visually that you can’t order all the numbers at once. Without even realizing it, for a long time I took it for granted that numbers had to have order. However, by thinking about i, I could understand how a more complete conception of numbers wouldn’t have an order at all.

As with mathematics, we can have a more complete and satisfying understanding of our roots by discussing the various ideologies that people have. Ignoring people’s beliefs is both counterproductive and dishonest. By accepting other people instead of casting them as religious fanatics, we can understand how our own ideologies (such as capitalism) depend on faith and worship. Maybe we can realize what we’re missing when we’re caught up by the hierarchies and orders that we take for granted.