nucleation

TERM-095: inquiry: a process that pursues a question, written (Ξ£, A, π“˜, π“ž, π“š, 𝓑): a language in which it is posed, an answer space that says which differences would count as an answer, the interventions and observations that make those differences accessible, criteria for judging candidate answers, and the resources it runs on; it is reflexive when any of these becomes what it is pursuing

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Properties6
StatusActive
Version2
Tagsepistemology, cognition
Linenucleating-argument
ComplementsTERM-092 β€” inquiry frontier, of an agent at a budget: the questions it can formulate, making them determinate enough to pursue, with the concepts, records, tools, time and computation it actually has; distinct from the questions its language can express, from those it can pursue to a stated standard, and from those that have answers, TERM-065 β€” effective-description regime: the system, query family, intervention family, resource bounds, tolerance and horizon under which a candidate description's adequacy is assessed, β„› = (X, 𝒬, ℐ, ℬ, Ξ΅, Ο„), kept apart from the description T it evaluates, so that rival descriptions are compared under one regime and whether each is adequate, Adequate(T; β„›), is settled once the regime is stated, TERM-056 β€” question drift: a provisional answer becoming part of the question an inquiry is pursuing, as distinct from query drift, in which the queries move away from a question that stays fixed
Cited as β€œuses” byCLAIM-470 β€” Inquiry is a form of specification: a question fixes which differences would count as an answer, an inquiry adds the operations that make those differences accessible, and what it finds can stabilize into a specification that constrains later inquiry; so inquiry stands to its findings as a specification to its realizations, with one difference, that an inquiry can revise what an answer could be, CLAIM-475 β€” Specifying is itself a resource-bounded realization: formulating a question takes time, concepts and computation as realizing a configuration takes energy and matter, so the questions an agent can ask are a product of what it has already realized; a stabilized specification is past inquiry stored so that later questions become cheaper to ask, and it can make other questions harder

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Definition

An inquiry is a process that pursues a question. It is written as a tuple (Ξ£, A, π“˜, π“ž, π“š, 𝓑):

  • Ξ£, the language: what the question can be posed in.
  • A, the answer space: which differences would count as an answer. A question q: Ξ© β†’ A partitions states into those it cannot tell apart.
  • π“˜, the admissible interventions.
  • π“ž, the observations: together with π“˜, the operations that make the differences A asks about accessible.
  • π“š, the criteria of evaluation: what makes one candidate answer better than another.
  • 𝓑, the resources: time, computation, records and tools, spent on formulating as well as on answering.

The tuple is A15’s (A, π“˜, π“ž, π“š) of the exchange of 2026-10-27, with the language and the resource bounds that A16 added. Neither called it a standard definition, and it is filed as the record’s own construct.

An inquiry is reflexive when one of its own components becomes what it is pursuing. Revising A is the case CLAIM-470 turns on. A16 Β§4 gives an example: a question about which equilibrium a system occupies must become a question about which attracting set organizes the dynamics, once a Hopf bifurcation leaves a stable limit cycle. Revising π“š is A16 Β§2’s β€œEvaluate or revise ℛ”.

The distinctions it draws

  • From a question. A question fixes A and leaves π“˜, π“ž, π“š and 𝓑 open. β€œIs this system stable?” is a question. It becomes an inquiry once it says which perturbations, which stability, which horizon, how they are observed, and what it may spend.
  • From the regime (TERM-065). The effective-description regime β„› fixes the conditions a description is judged under, and plays the role of π“š together with a fixed query family. An inquiry carries β„› and may revise it. TERM-065 takes β„› as supplied.
  • From the frontier (TERM-092). The inquiry frontier is the set of questions an agent can make into inquiries within its 𝓑. This term is what each member of that set becomes.
  • From specification. That an inquiry stands to its findings as a specification stands to its realizations is CLAIM-470’s thesis. It is stated in this term and is not part of the definition. A reader who rejects the thesis can still use the term.

Why it is proposed

On 2026-10-27 the owner called inquiry a building block of the formal argument. CLAIM-470’s title and proof use it, and so do CLAIM-475’s resource-bounded specifying, TERM-092 and TERM-088’s descriptive sense (β€œan inquiry can distinguish and track it”). Without a definition, each uses its own tuple.

What would settle it:

  • Adoption if CLAIM-470, CLAIM-475 and TERM-092 can each be restated in these six components without remainder.
  • Revision if one of them needs a component the tuple lacks. One candidate is a record of past findings, which CLAIM-470’s stabilizing clause may need apart from Ξ£.

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