Fatemakers
Just some random thoughts on the subject of Fatalism, Determinism, and Model Satisfaction.
- Let
TH
be some Theory (Set of Sentences or Propositions).
- Let a Bounding Constraint be some stipulated Property, Feature, or Characteristic of a Model.
- For example: the satisfaction conditions for Group Theory.
- But we might think of these as Spatio-Temporal Constraints (e.g. - requiring some State to obtain within some inclusive Time interval and/or Spatial region).
- Let
Mₐ
be the Model Class that Satisfies TH
under some Bounding Constraint a
(e.g. - Time, Locality, etc.).
- We then say of
Mₐ ⊧ TH
that Mₐ
Fatemakes or is a Fatemaker for TH
.
- It might be more helpful to think of
S
as some structure, B
as some Bounding Constraints, Indeterministic Satisfaction ⊧ⁱ
, ⊧ᵈ
as Deterministic Satisfaction:
- Given that
S ⊧ⁱ TH
, a Fatemaker for TH
is defined as: S ⋃ B ⊧ᵈ TH
.
- The addition of some sufficient
B
to S
transforms the system into a Fatemaker.
With this basic framing verbiage in place, we might ask, "Under what conditions does Fatemaking occur?" How are indeterministic or non-deterministic systems transformed into deterministic ones? Locally, Globally?
And, perhaps the more interesting question, "What do we add to (or imbue) some arbitrary Structure Mₐ
with so that it becomes a Fatemaker for TH
(so, that Mₐ ⊧ TH
)?
Prior Notions
- Is it helpful to recast questions surrounding Determinism as questions about the existence of Fatemakers?
- Is this a more precise notion?
- Does allow scoped or localized discussions separate from general discussions about (universal) Determinism (suppose some subsystems are locally deterministic but the Universe, say, is not).
- How do Fatemakers intersect with the idea of Hidden Variables in Deterministic formulations of Quantum Mechanics?
- I firmly accept the outcome of Bell's Inequalities (unlike Einstien)
- Still, it might be of interest to think of Hidden Variables using Fatemaker verbiage - is the addition of a Hidden Variable sufficient to transform some system into a Fatemaking Model?
- Supercoming - the inevitable "bringing about" of some Proposition. Under what conditions can we guarantee that some Proposition obtains?
- Akin to Supertruth - a great summary exists here.
- Fortune Telling (or Future Forecasting in modern parlance) is all great and wonderful but what guarantees that something obtains with certitude?
- Military directives, election forecasting, presience science, futurology and macroeconomics, engineering resiliency, and so on.