I think what you really mean is brains are not numeric. It's the "digit" part that is objectionable, not the "binary" part, which as an adjective for "digit" just means a way of encoding a portion of a number.
But in the end it's a semantic argument that really doesn't have a lot to do with the thesis.
It's okay when it first starts crunching and squeaking, but as it gets colder and drier it gets bad.