[kazinator]

What's clever is recognizing the "kernel" of a function like map. Hickey answers the question: if we take this list-processing/decimating function like "count-if" or "map" or whatever, and express it with reduce, what is that reducer function which we will need? And how is that reducer derived from or related to the function that goes into the list processing function, like the mapping function in map? He then makes those functions behave as methods (when called with one less argument) which give you that reducer.

Now what if this is done to reduce itself? What should a reduced arity (reduce fun) return? I think that is a noop: nothing needs to be done to fun to make it reduce under reduce, so (reduce fun) -> fun. I.e. to transduce the reducer "fun", an arbitrary function, into a function X such that (reduce X list) will do the job of (reduce fun list), we simply equate X with fun.