DECIDABILITY (ACTION) The Satisfaction of Demand For Infallibility A question (o

DECIDABILITY (ACTION)
The Satisfaction of Demand For Infallibility

A question (or statement) is Decidable (true or false: consistent, correspondent, possible; good or bad, and sufficient) if (a) an algorithm (argument, or set of operations) exists within the limits of the system (domain: set of axioms, rules, theories) that one can use to produce a decision and (b) if sufficient information for the decision is present within the system such that, (c) one need not appeal to either information outside of the system, or DISCRETION (INTUITION, VALUES) to supply information necessary to DECIDE.

Ergo, if DISCRETION (choice) is unnecessary, a proposition is DECIDABLE. If Discretion is necessary then the question may be DISCRETIONARY (subjective choice) but it is not DECIDABLE (objective).

Or for the most reductive version: the subjective requires appeal to intuition (judgment) and the objective requires only appeal to present information.

|Choice| Decidable > Discretionary(opinion) > Choice(preference, presumed good) > Random Selection (undecidable) > In-actionable

The purpose of our method is to produce decidability as a means of circumventing the dependence on discretion and choice. By our diligent production of decidability we produce a value independent universal language of testimony in all subjects; but particularly in the subjects most vulnerable to discretionary impulse: cooperation, ethics, morality, and politics.

Note: This emphasis on decidability explains the difference between rule of law (decidable) and rule by discretion (undecidable, and therefore subjective discretion or choice are required). If discretion is required, then it is rule by discretion (choice) if not, then rule of law.

Demand For Increasingly Infallible Decidability

In an effort to avoid the mistake of relying upon an Ideal Type, we will describe a spectrum, or ordered hierarchy of Demand for DECIDABILITY. That way we do not ask the universe to fit our definition, but that we provide a definition that corresponds to decidability in all cases we can perceive in the universe.

Spectrum of Decidability:

Intelligible: Decidable enough to imagine a conceptual relationship
Reasonable: Decidable enough for me to feel confident about my decision (that it will satisfy my needs, and is not a waste of time, energy, resource )
Actionable: Decidable enough for me to take actions that produce positive results.
Moral: Decidable enough for me to not cause others to react negatively to me, if they have knowledge of my actions.
Normative: Decidable enough to resolve a conflict without subjective opinion among my fellow people with similar values.
Judicial: Decidable enough to resolve a conflict without subjective opinion across different peoples with different values.
Scientific: Decidable regardless of all opinions or perspectives (‘True’)
Logical(Analytic): Decidable out of physical or logical necessity
Tautological: Decidably identical in properties (referents) if not references (terms).
Ideal: Decidable if we possess the knowledge we do not and cannot, but wish we did. 😉

So to borrow the one of many terms from Economics, we can see in this series (list) a market demand for increasingly infallible decidability.

The Methods of Decidability

We can also separate the actions of intuiting (intuition), from reasoning (all processes of the mind), from rationalism (justification), from calculation (in the wider sense – transformation of inputs into outputs) from computation (algorithm).

|DECIDABLE| Unintelligible(Incomprehensible) > Intelligible(Comprehensible) > Possible (actionable) > Preferable > Good (Normative, Moral) > Decidable(Judicial) > True (scientific) > Analytically True (logical) > Tautologically True (Tautological)

and

|COGNITION| Comprehensible > Imaginable > Reasonable > Rational > Calculable > Computational > Identical

and

|METHOD| Experiential(emotional) > Rational (law : Social or Contractual) Theoretic (science: existential) > Axiomatic(logic: mental) >

Each of these methods of reasoning depends upon a different degree of demand for the infallibility of decidability.

So when we say we can decide a question, we mean it satisfies the demand for the infallibility of decidability.

Note: This technique, where we test the satisfaction of demand for infallibility, will frame most of our thinking, and it is the principle difference between logical, philosophical, scientific, and legal thought. That is because it is the most complete of logical, philosophical, scientific, and legal thought.

Cheers
-CD