Library / First Principles Framework (FPF) - Core Conceptual Specification
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C.2.3:4 - Solution - U.Formality as one ordinal characteristic

C.2.3 defines U.Formality as the single governing characteristic for rigor of expression in FPF.

C.2.3:4.1 - Identity and typing

  • Name: U.Formality (abbreviated F)
  • Type: U.Characteristic
  • Scale kind: ordinal
  • Polarity: up
  • Carrier: any U.Episteme
  • Default value family: F0...F9

F states how strictly the content is expressed. It does not state whether the content is true, well evidenced, widely applicable, or organizationally accepted.

C.2.3:4.2 - Place in the typed F-G-R tuple

A named assurance argument may consume F alongside G or R under B.3. Declaring F for a normative episteme does not itself select an assurance argument or require the current use to consume a universal tuple. The characteristics remain distinct:

  • F is not G; scope remains governed by U.ClaimScope and other USM structures.
  • F is not R; evidence, warrant strength, and decay remain assurance concerns.
  • Mapping loss is assessed for the actual receiving use. Any effect on R needs its B.3/C.2.2 basis; an ordinal CL value supplies no automatic penalty and does not change F.
  • Changes in notation, carrier, or rendering form do not change F if the formal content is preserved.

C.2.3:4.3 - Extensibility and local anchors

FPF provides the default anchor ladder F0...F9. A context may define sub-anchors or intermediate anchors such as F4[OCL] or F6.5, but only if:

  • global order is preserved,
  • the local anchor is explicitly docked to a parent anchor,
  • the context does not invent a rival ladder or proxy scale.

C.2.3:4.4 - Usage obligations

  • Every normative episteme shall declare one F value.
  • Thresholds that depend on rigor should be written explicitly as F >= Fk conditions.
  • Any actual raise or lowering of expression rigor is a content change, not a status-only change. Correcting an erroneous F attribution changes the assessment, not necessarily the assessed episteme.
  • F remains declaration and reasoning infrastructure; it is not itself a governance process.