division by zero: a peculiar phenomenon in the language of mathematics, it is generally translated in One of three ways: 1) it is an absurdity which says nothing, and is therefore not allowed; however, in some higher maths a number divided by zero will equal either 2) a positive infinity, or 3) a negative infinity. So, there are three different results which are dependent upon their mathematical setting for sense.

A further trinity to note is in the term itself. There are, in a sense, three objects which make up its occurrence: the Numerator, the Denominator, and the relation between them--in this instance the relation is defined as "division". What we see here, then, is a singular thing (the term 'X/0') which exists only because it is formed of a relationship between two seemingly discrete objects.

However, it is not the case, on further analysis, that our two objects really are discrete! Both the Numerator and the Denominator exist as objects (in this case, as numbers) only in their relations to all the Other numbers on a given number line. Even with a number set as simple as the Natural numbers this still means that any given number exists only in its infinite number of relationships to an infinite number of, well, Other numbers. Any number in and of itself, without any relationship to any Other numbers, becomes meaningless, empty. A number is Nothing at all if it occurs in isolation of its relations to Other numbers.

Thus, what we have discovered here can be stated as such: to each One relates an Other, and every One is Nothing by itself--only in relation to an Other is there something. This is the foundational trinity of existence: O R O. Further, for every O, O only exists through an infinite number of R to an infinite number of O.