Consider philosophical tropes as approaches to taking a position
on a topic. If T is a topic, such as identity, knowledge, value etc., then one
can answer a What (object) question, seeking to define T, a How (manner)
question, seeking to explain T's workings, a When-Where-Who (time,
place, subject) question, seeking to provide T's origin, or a Why (purpose)
question, seeking to define T's value or purpose. Call the What route D
for definition, the How route P for process, the When-Where-Who
route O for origin, and the Why route V for value.
Then for D, there might be several main lines of answers. (1) one could
answer in the negative (n), that there is no such thing as T. (2) one could answer
reductively (r) and say that T is only some assemblage or name for other
objects. (3) one could assent to the full reality of T and seek to define what
differentiates (d) it from other like things. Or (4) one could assent to T's reality but instead seek to
define it intrinsically (i) according to necessary and sufficient properties.
So, Dn(T), Dr(T), Dd(T), or Di(T) are
possible definition-approach functions on T.
Likewise, it seems one could perform these moves with P, O, and V—with
the added change to i for P where functions and mechanisms, with inputs, outputs,
and conditions, would also have to be given along with necessary and sufficient
properties; with the change to i for O where a particular event description, with a reason for its historical novelty, would have to be given along with
necessary and sufficient properties; and with the change to i for V where an
account of T's valued effect would have to be given as a product of its necessary and sufficient properties, or those properties themselves would have to be shown to be valued.
So, we have:
1. Conceptual Definition of T: Dn(T), Dr(T),
Dd(T), or Di(T)
2. Procedural Explanation of T: Pn(T), Pr(T),
Pd(T), or Pi*(T)
3. Historical Origin of T: On(T), Or(T), Od(T),
or Oi**(T)
4. Practical Value of T: Vn(T), Vr(T), Vd(T),
or Vi***(T)
On a given philosophical topic, these seem to be the available philosophical tropes. Then, within each of the four moves for the four approaches, there
are a variety of more nuanced sub-choices that may be available. Broadly, one
might begin to map out the entire philosophical discourse generated on any
given topic by outputting the available primary theories, objections and other responses to those
theories, and defenses against the objections, along with various combinations of compatible
theories to form new primary theory-objection-defense sets. One could then look
for applications for the resulting maps as they intersect with other fields, if
there are any.
However, one might begin to worry about the partiality of the
set of T’s. Perhaps the implementation of discourses on T’s provides us true
knowledge and benefit with respect to real facets of the world—but is there
not something myopic here? What is the set of all T’s? What are T’s on
such that they are T’s? What do all philosophical topics share and how are they
generated? How do they function as topics such that they are philosophically
relevant? How do they attach to the world and become applicable? Could our trope
functions range over the whole set T rather
than an individual T?
It seems that one could (1) negate the set of all philosophical topics as
such by denying that there is ever any such thing as a philosophical topic (or
philosophical activity onto such); (2) reduce all philosophical topics as such
to some other object or field (or some other type of activity onto such); (3) differentiate
all philosophical topics as such from other types of topic; or (4) identify the necessary
and sufficient properties of a philosophical topic as such. From this, a
total meta-philosophical mapping could be produced. This would provide a formal
domain description for philosophy.
Possible schemas for functions D, P, O, and V:
n = ("x(Tx à ~x)
r = (T = φ(x, y))
d = ((~(u ⊆ T) ↔ (T = S)) & (u ⊆ T))
i = (T ↔ φ(x, y))