Coordinates of Satisfaction: On the Divergent Standards of "Understanding" across Disciplines

1. Overview Attend gatherings across disciplines, and a persistent discomfort emerges. Cognitive linguists and cognitive psychologists share the label "cognitive," yet neither finds the other's conclusions sufficient. Engineers and linguists may share an object of interest, yet their discussions never land in the same place. Even within linguistics, the gap between cognitive, generative, and sociolinguistic camps resists closure. The source of this discomfort is not a difference in knowledge or interest. It is a difference in where each discipline locates satisfaction: what counts as having understood. This essay identifies these divergent coordinates and examines the distances and possible connections between them.
2. Definitions Coordinates of satisfaction: The criteria by which a researcher in a given discipline judges a response to a question as sufficient. Not a single point of arrival but the selection of an axis system — which dimension matters most. Mode of inference: The dominant form of reasoning a discipline employs. Abduction (inference to the best explanation), hypothetico-deduction (formulating hypotheses and testing them by attempted falsification), and design reasoning (constructing a structure that meets specifications and confirming it runs) are three such modes. Paper format: The materialization of a mode of inference as document structure. The Abductive Essay (O→D→P→C→F→OQ→DH) and IMRaD (Introduction→Methods→Results→Discussion) are examples. A correspondence holds between mode of inference and paper format.
3. Propositions P1: The primary source of discomfort between disciplines is not a difference in object or method. It is a difference in coordinates of satisfaction. P2: Coordinates of satisfaction are determined by mode of inference. Where modes of inference diverge, coordinates of satisfaction will not align, even when the phenomenon under study is the same. P3: Mode of inference is reflected in paper format. A paper format suited to one discipline therefore cannot transfer directly to a discipline with different coordinates of satisfaction. P4: At least five coordinates of satisfaction are operative in language research and adjacent fields:

• Can we explain why this is so? Satisfaction lies in explanatory principle. (Cognitive linguistics, functional linguistics, historical pragmatics.)
• Can we statistically demonstrate that this is so? Satisfaction lies in quantitative evidence. (Cognitive psychology, quantitative sociolinguistics, corpus linguistics.)
• Can this rule system derive the data? Satisfaction lies in formal derivation. (Generative grammar, phonological systems in comparative linguistics.)
• Does it run? Satisfaction lies in implementation and operation. (Engineering, software development.)
• Does this reading hold? Satisfaction lies in the persuasiveness of interpretation — for this text, this passage, this case. (Interpretive literary studies, hermeneutics.)

A sixth coordinate belongs to a discipline often housed under the same departmental roof as the fifth: Can we establish the correct text? Philology locates satisfaction in the consistency of textual transmission — collating manuscripts, comparing variants, reconstructing archetypes. This coordinate clusters with formal derivation (P4, third item), not with interpretation. P5: Generative grammar is hypothetico-deductive in the form of its reasoning yet engineering-like in the texture of its practice. Grammaticality judgments are binary checks on derivability, not p-values. Adding rules, revising parameters, handling counterexamples — the cycle mirrors code refactoring. Generative grammar is formal-system design wearing the skin of hypothetico-deduction. 3. Corollaries C1 (from P1, P2): When dialogue across disciplines fails to converge, the first diagnostic should target coordinates of satisfaction. Shared interest in an object does not entail shared criteria for resolution. C2 (from P2, P3): Exporting a paper format from one discipline to another succeeds or fails in proportion to the alignment of their modes of inference. The Abductive Essay serves "why" questions broadly because its structure matches explanation-oriented inference. It does not serve "how much" questions, for the same structural reason. C3 (from P4): The five coordinates are not mutually exclusive. Individual researchers operate across multiple coordinates, switching as context demands. A cognitive psychologist reasons abductively in the discussion section; a cognitive linguist may adopt experimental methods. Discomfort arises not from the absence of overlap but from which coordinate a discipline foregrounds as its identity. C4 (from P4, P6 in P4): Philology and interpretive literary scholarship coexist under a single institutional label, yet their coordinates of satisfaction diverge entirely — consistency of transmission versus persuasiveness of reading. The same structure replicates within linguistics: the temperature gap between subfields is an instance of P1. C5 (from P5): The affinity between generative grammar and engineering is a consequence of their shared coordinate: does the system run? That computational linguistics grew from the formalization of generative grammar is intelligible as a product of this structural proximity. 4. Open Questions How are disciplinary coordinates of satisfaction formed? Are they internalized through training — the doctoral program as coordinate calibration — or maintained by institutional mechanisms such as peer review criteria and conference norms? Researchers who hold multiple coordinates must select among them. Is the selection situational, or does a hierarchy govern it? If hierarchical, what determines the ranking? What paper format can accommodate a genuinely cross-disciplinary collaboration designed with awareness of divergent coordinates? Embedding an Abductive Essay within IMRaD, or the reverse: how would that work in practice? Does the discomfort between disciplines serve a productive function? If coordinates of satisfaction were to converge, would something be lost — a form of intellectual diversity that prevents premature closure?