A common analog of math functions is a vending machine of any kind, from one that dispenses snacks or drinks to one that dispenses cars from Carvana. We put money into the machine; the machine spits out a product, and always the same amount of money produces an equivalent product: Potato chips for $0.50 every time, a bag per half dollar. Input yields output. The vending machine is the function; the vending machine functions as long as the single input produces a single output. When two bags of chips fall to the collecting tray, we say, “Hey, look at this!” We know something went wrong. The machine didn’t function as it was intended to function.
Those who work with AI and algorithms would prefer we humans were much like functions. They who input expect us to put out, usually with rather singular results. You buy online seeds to plant catnip to chase away mosquitoes from your deck, and you are suddenly bombarded with commercials or ads for seeds and plants. You must be, the algorithm says, one of those gardener types. Your function is to buy seeds. Isn’t that why you ordered Nepeta cataria?
Of course, the algorithm-writers know that you buy other products, but they frame you a certain way, so ads for garden tools, Wellingtons, and gloves also appear on your monitor. And the pressure to frame you according to dictates of algorithms will increase. Talk about real profiling! Each aspect of your life as seen through the lenses of algorithms will become more singular, since math functions always produce a single output for a particular input. As a member of one economic class, you will be expected to produce an output that a member of another economic class would not produce. As a parent in monogamous relationship, you will produce a different quantified product from a parent in a divorced relationship. Singles are different functionally from the married.
Businesses, political parties, social institutions, all of them: Don’t their leaders want you to be a predictable function? How else to be sure of an outcome with a given input?
And this is the heart of a problem every individual in any society faces. Do you recognize yourself as a function? Are you that predictable vending machine into which the algorithm-writer, the leader, or even the group can input a stimulus from which the expected output always emerges?
You aren’t, are you? And you’ll do just about anything to prove that you aren’t. Well, not just about everything. You aren’t Raskolnikov in Dostoevsky’s Crime and Punishment, the guy who, to simplify the plot, knew that killing was forbidden but who killed the old woman pawnbroker and her sister in spite of that knowledge. He killed because he could and because it served his, and not his society’s, purpose. Raskolnikov wasn’t a good vending machine. Society had put its mores into him, but his output differed from the expected.
I’m guessing there are certain behaviors that no number of prevailing algorithms can elicit from you, murder being one of them. But buying other seeds for your garden? Well, there’s a good potential sale there. In that, you might be predictable; in that you might be the human vending machine; and in that AI might see you correctly, label you, and control or at least influence you.
You don’t have to be a Raskolnikov to demonstrate you are not a function, but your biases might mark you at times as an analog of algebraic functions. Say you are an open or secret member of some group. It can be any group, a group of Episcopalians, for example, Hasidic Jews, or even the KKK. Say, also, that you have a business and are hiring or that you are a teacher reading student essays. An Episcopalian, Hasidic Jew, or KKK member all seek a job with you or submit an essay. Now what? Similar inputs, but what’s your output?
I realize that such an example pushes the idea to the extreme, but on any scale such an example holds: A favored or unfavored family member, an associate or team member, a stranger on the street. How does the human vending machine react to the beggar who asks for money to buy a burger vs the beggar who asks for a million-dollar contribution to support a museum or charity? How does the teacher view the work of a troubled child vs the work of the model student? How does the politician respond to the needs of one segment of constituency over another segment? How do any of us respond to those we deem “different” regardless of a similar input? But even in our biased decisions, there is variability. Human vending machines aren't very consistent.
Human vending machine? I think not. Algebraic function? Not that either. But algorithm-writers and AI developers will continue to operate as though all of us are such vending machines, even though in their personal lives they cannot see themselves as such. It might be in human nature to see other humans as analogs of functions regardless of human history that demonstrates people are rarely simple examples of “f of x equals” some output.
Sometimes the vending machine spits out two bags of chips. Sometimes it just keeps the money and gives no chips.