Ben Goertzel argues that a sufficiently complex spatiotemporal "pattern network constitutes a mind" (The Hidden Pattern: A Patternist Philosophy of Mind, Brown Walker Press, 2006, pg 16). If this is true, and since mathematics is arguably a science of patterns, then we should use mathematics to study/describe mind. I offer this as a challenge to all the armchair philosophers of mind whose work is typically nonmathematical.
One should note that theoretical computer science can be looked at as a part of mathematics and so I am just arguing for traditional computational intelligence as constituting work on the philosophy of mind. On the other hand my work on Asa H has been more mathematical than a lot of AI is.