Mathematicians created various notations to make complex ideas easier to remember, keep track of, and communicate. But sometimes we forget this. Instead we start to imagine that notation (in and of itself) somehow makes our work more rigorous, more objective, or more accurate. The first step towards mathtimidation.
Eventually, this transforms our shorthand into a way of drawing group boundaries, asserting authority, and silencing questions. It becomes a performance that loses it's initial purpose of simple communication.
For a concrete example, I see this all the time at presentations by modelers. They will throw a slide of equations up, maybe some other mathematician will ask something about it. None of the domain experts -- be they biologists, clinicians, social scientists -- will feel that they are qualified to comment on that slide. But that slide
is the model, and the part that should be transparent to all and communicated to all. Which can often be done easily (and just as 'rigorously') with something more accessible like an interaction network, but without alienating people that don't read systems of ODEs for a living.
In this talk,
+Cathy O'Neil follows this line of reasoning from the small weapons of mathtimidation to the weapons of math destruction made possible by the algorithms intervening in our lives. She stresses the importance of transparency. Of course, this transparency doesn't just mean throwing some code up on GitHub; sure, that is more public than some of the opaqueness that Cathy highlights, but it is still not a great way to inform or communicate to the people affected by the algorithm.
In an open democracy, we have to understand (or at least it should be reasonable to expect us to understand) the rules of the systems that affect us. That way we can be properly informed in our decisions, and can more easily see and critique the weaknesses of those rules. We also need to realize that in this realm,
objective is -- more often than not -- a weasel word that we use as a short-hand notation for
culturally engrained opinion. Something that can easily perpetuate social injustice.
/cc
+Arturo Araujo,
+John Baez,
+David Basanta,
+Suresh Venkatasubramanian