Zach's Ontology of Truth

Greetings once again, everyone,

Last night's meeting on the philosophical implications of the governmental censorship of obscenity was evocative, edgy, and yet hopefully still both fun and educational.

After the meeting, a few of us hung out and discussed something I had been pondering for some time, but had not actually written out until earlier that day: my proposed ontology of truth. For those who don't know, "ontology" refers to the science or study of the nature of existence. This is not an ontological argument for truth; rather, it is an attempt at classifying what I believe are actual kinds of truths.




Let the predicate "P" refer to "...Coheres with...", so that "Pxy" refers to "x coheres with y".
Let the predicate "S" refer to "...Is a statement", so that "Sx" refers to "x is a statement".
For "Objective Truths", let "T" refer to the one-place predicate, "...Is true", so that "Tx" refers to "x is true".
For "Subjective Truths", let "T" refer to the two-place predicate, "...Is true for...", so that "Txy" refers to "x is true for y".
In these propositions, "x" refers to statements that individuals make, and this test seeks to show whether a statement "x" is.
In these propositions, "y" can be interpreted different ways, depending on your approach to various epistemological issues. I personally find it easiest to think of "y" as a paradigm, as Kuhn considered it. If you have issues with Kuhn's summation of paradigms, think of "y" as a worldview or a summation of perceptions of sorts.
In these propositions, "z" refers to a a subject. "Txz" would thus mean that "x is true for z".

That should hopefully do it. If anyone has a hard time reading the image or interpreting the notation, let me know, and I'm happy to help.

At any rate, here's the gist. Note that the examples I provide are not meant to be insightful and provocative insomuch as they are meant to be noncontroversial. The difficult questions can come later.
For x to be an Objectively Absolute truth, it must correspond to all y paradigms that correspond with reality. If there exists a y paradigm that corresponds with reality, but x does not correspond with this y paradigm, x is not an Objectively Absolute truth. Most (if not all) mathematical axioms, such as that the successor of zero does not equal zero, would fall under this category.

For x to be an Objectively Relative truth, it must correspond to at least one y paradigm that corresponds with reality. If there exists a y paradigm that corresponds with reality, but x does not correspond with this y paradigm, this is not a problem, because this truth is relative. There are possible worlds, perhaps, where paradigm y does not correspond with reality; nevertheless, y corresponds to some reality, so x is true, at least in an Objectively Relative sense. As an example of an Objectively Relative truth, consider the statement, "the universe is constantly expanding".

For x to be a Subjectively Absolute truth, it must correspond to all y paradigms that correspond to reality, and there must exist a subject such that x is true for that subject. These truths require a subject in order for them to be true. For example, consider, "I ought not do that which is wrong". Such a statement requires the existence of a subject, an "I", in order for it to be possibly true. If there does not exist a z such that, for z, this x statement is true for z, x is not true at all.

For x to be a Subjectively Relative truth, it must correspond to at least one y paradigm that corresponds with reality and there must exist a subject such that x is true for that subject. As an example of a Subjectively Relative truth, consider, "Ice cream is my favorite cold desert". This statement corresponds with a y paradigm-- my current one-- that also corresponds with reality. However, at a future point, that y might no longer correspond with reality; I might pick a different cold desert as my favorite. Thus, truths under this category are Subjectively Relative, as opposed to Subjectively Absolute.

Thoughts/comments/suggestions? Criticisms? Applause? Disgust? Hunger for ice cream? Thanks for your comments!