Species and Mathematics

There is little evidence that entities other than humans possess Mathematical knowledge.  Now, one traditional explanation of that state-of-affairs is that Mathematics is a divine dimension of Reality, the cognition of which requires the kind of Intellect that only humans among created beings possess.  In contrast, according to the Kantian tradition, the latter clause suffices as an explanation, and there are no grounds for positing the independent existence of Mathematical structures the contemplation of which is a mere mirror.  Furthermore, a post-Kantian thesis asserts that those structures are fundamentally quantificational, of profound use in activities from simple enumeration or distribution, to complicated applied Science.  In other words, on that interpretation, Mathematics is specific to the Species, and is Practical, not, as tradition has it, divine and Theoretical.  Leibniz' projection of a Mathematical language that is "universal" in the Species, locates him at the beginning of the transition to the secularization of Mathematics.