Evoking a new way of thinking.

Key Vocabulary: Model

We use a specific meaning of model whenever we use the term in
epi-thinking. The meaning is derived from Robert Rosen's
modeling relation.

The Modeling Relation provides us with a
methodology for studying one system in terms of another
system (the subject and the "model").

The two
systems are related via the encoding and decoding arrows.
Encoding is the process of measurement: it is the assignment
of a formal label (such as a number) to a natural phenomenon .
Decoding is prediction: it is the taking of what we generate
via the inferential machinery of the formal system into
representations of expected phenomena . Additionally, the
arrows for inference and causality represent the entailment
structures of their respective systems .

The
modeling relation provides us with a way of ascertaining
congruence between the natural system, N, and the formal
system, or model, F. What determines successful congruence is
that the diagram, as a whole, commutes. That is, such that the
numbered arrows meet the condition: (1) = ( 2) + ( 3) +
(4). This means that our measurements (2), when run
through the inferential machinery (3) of our model, will
generate predictions (4), which will agree (when verified)
with the actual phenomena (1) occurring in N. It bears
mentioning that any encoding from N to F is an abstraction and
if the modeling relation holds, then F is a model of N.

If all four conditions of the Modeling
relation do not hold, then F is merely a description of N
under a specific condition and unable to assist with reflexive
anticipation.