Sunday, January 18, 2009

The Fundamentals of Category

First, I've mentioned that this piece is incomplete, and it just isn't right. Every day I'm working on, "perfeck'in it," but sometimes I have to remember that there is an English word called, "sufficient." I've decided on publishing the article because it is simply sufficient for the time being. Further, I am going to go Thomas Aquinas on you - some wonderful medieval scholasticism! - and index the categories by letter. Perhaps more like Spinoza or Leibnitz on a good absinthe bender! So, here we go:

A. All human knowledge of any existence must be perceived if it is to be known. This creates our first category, the percept, which is defined as any existence which has been perceived.
A.1. The are five basic empirical percepts, which are any percepts perceived by sight, hearing, smell, taste and touch. This creates for our next more specific category, the empirical percept.
A.2. All other percepts are sensed, whether as thoughts, emotions, or some other sensation that is not empirical as defined. This creates our next category, called either the non-empirical percept, or simply a sensation.
B. Any percept whatsoever is said to be true if it has been proven to have identity with itself. This creates the truth category.
C. Any percept whatsoever is said to be false if it has been proven not to have identity with itself. This creates the false category.
D. Any percept whatsoever that has neither been proven to have identity with itself, nor proven not to have identity with itself is said to be open. This creates the open category.
E. Any limited collection of percepts when taken as a limited collection of percepts is called a context. This creates the context category.
E.1. The truth value of a context is determined by whether all of the percepts continue to have identity with themselves as a member of that context. This creates the category of contextual truth value.
F. Any context is an absolute context when all open and false percepts have been eliminated from that context, leaving only true percepts within that context, as its truth value as a context is determined by the presence of only percepts of the truth category and no other truth category. This creates the category of an absolute context.
G. Any context that contains even one false or open context is an open context, as its truth value as a context cannot be determined because of the presence of the false or open percept. This creates the category of an open context.
G.1. There is no need to establish a context with a false truth value, as a context of only false percepts would be an open context, as even though the percepts may all be proven false, they cannot be proven to all be false as members of a context.
H. Any process applied to a percept of any truth value whatsoever as part of a context will be called a modulus, which creates our first modulus category.
H.1. Any true or false percept whatsoever can be analyzed by deduction, and this creates the deductive modulus category.
H.2. Some and only some open percepts can be analyzed by induction, and this creates the inductive modulus category.
I. Further, there are two possible subcategories of empirical percepts, the first being a measurement, which creates the quantitative category. The second is some quality of language symbolism that cannot be measured by quantity, and this creates the qualitative category.
I.1. Further still, there are both quantitative and qualitative forms of deduction and induction, and this creates four more modulus categories which are: quantitative deductive modulus, qualitiative deductive modulus, quantitative inductive modulus and qualitative inductive modulus.
I.2. Further, as a quality may not be summed, subtracted, multiplied, or divided, qualitative modulus can only be algebraic, and does not use quanitative operations of arithmetic.
I.3. However, qualitative and quantitative algebras of both deductive and inductive modulus are fundamentally the same, although the modulus resulting from these fundamentals are not very similar. Proof in later document.
J. All sensations are qualitative, as no empirical measurement can be made to quantify the sensation. Further explanation in later document.
K. The only other way to undestand a quality, other than by qualitative deductive modulus (algebraic deduction) or by qualitative inductive modulus (alegbraic induction) is as an aesthetic, and this creates the final (for now, at least) category of the aesthetic quality.

Thanks to my profs at UTK and Wright State and Sinclair Community College (D10 Mu10's REPRAZENT!) Thanks to a few of the teachers from Miamisburg High School and a few from my primary education. Thanks to Blaise Pascal, Hildegard of Bingen, Immanuel Kant, the good Catholic priests who shepherded me along, the broad range of books that went into all of my work, and many others that will receive a list post in the future. In the meantime, I need a break.