Peat Bogs,Sperm, and Family Values: Teaching Naturalism Charitably

Introductory courses dealing with sex, gender and sexuality often assign excerpts from Thomas Aquinas as an exemplar of the naturalist view. Given that most novice students tend to side against such naturalism uncritically, they need to be exposed to a more charitable account of the biological considerations motivating a stance like Aquinas.’ With that in mind, this article presents accessible arguments aimed at restoring deliberative balance in the classroom.     

On Adjoint and Brain Functors

There is some consensus among orthodox category theorists that the concept of adjoint functors is the most important concept contributed to mathematics by category theory. We give a heterodox treatment of adjoints using heteromorphisms (object-to-object morphisms between objects of different categories) that parses an adjunction into two separate parts (left and right representations of heteromorphisms). Then these separate parts can be recombined in a new way to define a cognate concept, the brain functor, to abstractly model the functions of perception and action of a brain. The treatment uses relatively simple category theory and is focused on the interpretation and application of the mathematical concepts.