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QUESTION-324: Are the conditions an effective description is asked to meet (predictive sufficiency, dynamical independence, memory closure, approximation fidelity, tractability) of one logical kind, or are some of them parameters of the regime under which the others are assessed rather than conditions in their own right?

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Properties5
StatusAnswered
Tagscomplex-systems, philosophy-of-science
Lineformal-apparatus
RefinesQUESTION-252 — For the conditions an effective description is asked to meet (predictive sufficiency for a declared target, dynamical independence of the omitted variables, memory closure under a declared projection, approximation fidelity in a declared metric and horizon, and tractability within a declared budget), which can fail while all the others hold, and which such configurations are impossible in which model classes?
Answered byCLAIM-401 — The conditions an effective description is commonly asked to meet are not of one kind: predictive sufficiency and approximation fidelity are adequacy relative to a declared target, metric and horizon; tractability restricts the operations under which adequacy is assessed; dynamical independence and memory closure are relations of the representation to the system, memory relative to a chosen projection; so a matrix over them as independent binary axes conflates kinds

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Why it was a question

QUESTION-252 asked it together with the leave-one-out design: which of the five conditions can fail while all the others hold, and which such configurations are impossible in which model classes. Working through that design, A4 and A5 of the exchange of 2026-10-20 found that the five were not coordinates of one kind. This part has an answer the record holds; the leave-one-out part does not, so they are filed apart (ADR-049).

The answer

Not of one kind (CLAIM-401):

  • Adequacy for a target. Predictive sufficiency and approximation fidelity hold only relative to a declared target, metric and horizon (CLAIM-152, CLAIM-348).
  • A restriction on operations. Tractability restricts the operations under which adequacy is assessed, and the same representation passes or fails with the budget (CLAIM-304).
  • Relations of the representation to the system. Dynamical independence and memory closure, the latter relative to a chosen projection (CLAIM-397, THEORY-752).

So a matrix over the five as independent binary axes conflates kinds. The answer does not say the five reduce to three, and it leaves the leave-one-out cells, once the regime (TERM-065) is fixed, to QUESTION-252.

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