There are two common mathematical inversions: the additive and the multiplicative. The additive inverse of any real number (X) is (-X). The multiplicative inverse of any real number (Y) is (1/Y). Let [#] signify the relation between a real number and its additive inverse. Let [%] signify the relation between a real number and its multiplicative inverse.

So it is that in the cases of (-infinity), (-1), (0), (1), and (+infinity), the following relations are true:

-infinity # +infinity
-1 # 1
0 # 0
0 % +infinity*
0 % -infinity*
1 % 1

Note that the most common dichotomy presented by the Elder Scrolls series, that of (0) and (1), doesn’t occur in either case. Nor does the figure of the enantiomorph naturally arise. If Anu and Padomay, Akatosh and Shezarr, Order and Chaos are opposites, as we are almost unilaterally led to believe, they must either correspond to quantities other than (0) or (1) or abide by a different, more convoluted system of mathematical meaning.

I suspect the introduction of imaginary numbers might allow new insight into the matter, but I’ll leave this basic premise here for now so others may share their thoughts.

*These two expressions are interesting because although the multiplicative inverses of both positive and negative infinity are equal to zero, by convention the multiplicative inverse of zero is only the positive infinite.