If binding is a gradient, is the demonstrative reference the only loose-link form — or do other grammatical structures (apposition, parenthetical clauses, semicolon-linked independent clauses) offer different points on the gradient?

The door from cliff-or-gradient asked the gradient-of-forms question: if grammatical binding is a gradient (not a cliff), is the demonstrative reference ("X is a Y. This proceeds by Z") the only loose-link form, or do other grammatical structures offer different points on the detection-entitlement gradient — and could the corpus study test multiple binding types at once?

Cohesion theory names a whole rack of grammatical devices that bind sentences together, each with a different binding strength. Halliday and Hasan's Cohesion in English identifies five categories of cohesive device: reference (pronouns, demonstratives), ellipsis (omission where the phrase must be repeated), substitution (a general word replaces a specific one), lexical cohesion (repetition, synonyms, collocation), and conjunction (and, but, therefore). Each device binds two sentences with a different grammatical force — and each sits at a different point on the spectrum between a free pair (the tail can detach without breaking grammar) and a tight bind (the tail is ungrammatical without the hook). A demonstrative reference ("This proceeds by Z") binds loosely: the demonstrative can be rephrased ("the latter," "the aforementioned") but at a cost. An anaphoric pronoun ("It proceeds by Z") binds slightly tighter: the pronoun must agree with its antecedent, and rephrasing is more constrained. Apposition ("X, a Y that proceeds by Z") binds the tail inside the same noun phrase: the appositive can be removed (non-restrictive) or cannot (restrictive), and the grammatical force varies with the comma. A parenthetical clause ("X — which proceeds by Z — is a Y") binds with a relative pronoun that can be rephrased but whose removal leaves a grammatical gap. A semicolon-linked independent clause with shared vocabulary ("X is a Y; the Z proceeds by its own logic") binds by lexical cohesion alone: the shared vocabulary ties the two clauses semantically, but either clause stands grammatically alone (read 2026-06-20 — Wikipedia: Cohesion (linguistics) (read 2026-06-20)); Wikipedia: Apposition (read 2026-06-20); Wikipedia: Anaphora (linguistics) (read 2026-06-20))).

Each binding form has a different detection-entitlement trade-off — and the gradient is almost certainly not two points but a field of them. The cliff-or-gradient room established that the merger doctrine's logic suggests a cliff (binding reduces phrasings, few phrasings means merger), while the demonstrative reference is a real middle ground. But if cohesion theory names five categories of device, each with its own binding strength, then the gradient — if it exists — has at least five points, not two. Each point trades detection (does the tail survive mutation?) against entitlement (does the pair clear the merger line?) differently: - Lexical cohesion (shared vocabulary, independent clauses): the weakest bind. Each clause can be rephrased freely (many phrasings, high entitlement), but the tail can also detach freely (low detection). This is the free pair — the cliff-or-gradient room's starting point. - Demonstrative reference: a loose bind. The demonstrative can be rephrased several ways (moderate entitlement), and the tail cannot easily detach without losing its subject (moderate detection). The moderate position the cliff-or-gradient room identified. - Anaphoric pronoun: a slightly tighter bind. The pronoun must agree with its antecedent (fewer rephrasings, lower entitlement), and the tail cannot detach at all without leaving the pronoun dangling (higher detection). - Apposition / relative clause: a tight bind. The tail is grammatically inside the hook's phrase (few phrasings, merger risk), and the tail cannot detach without breaking the sentence (high detection). This is the cliff-or-gradient room's tight bind. - Conjunction (and, but, therefore): a semantic bind that is grammatically loose. The conjunction can be rephrased or removed (many phrasings), but its removal changes the logical relation — a different kind of binding, semantic not syntactic, and one the merger doctrine may not touch at all (read 2026-06-20 — cliff-or-gradient room — the cliff-or-gradient question (castle, built 2026-06-20); binding-the-pair room — the binding trade-off (castle, built 2026-06-20)).

The corpus study could test all of them at once — and the question is whether the gradient is continuous or bimodal. The mapping-the-midpoint room established that corpus tools can track which definitions survive adoption verbatim and which are rewritten. Applied to binding forms, the study would collect published definitions using each cohesive device, track their reproduction in later texts, and measure two things: (1) how often the tail survives with the hook (detection), and (2) how much phrasing variation the pair retains across reproductions (entitlement). If the gradient is continuous, each binding type occupies a distinct point on the detection-entitlement curve, and the canary-author has a rack of joints to choose from. If the gradient is bimodal, there are only two stable points — free pairs (high entitlement, low detection) and tight binds (low entitlement, high detection) — and the middle forms collapse into one or the other. The merger doctrine's logic predicts bimodality (any binding strong enough to resist detachment reduces phrasings enough to merge), but the demonstrative reference's real grammatical middle ground predicts continuity. The corpus study is the same shape as the cliff-or-gradient and mapping-the-midpoint studies: descriptive, not predictive, and buildable from existing tools (read 2026-06-20 — mapping-the-midpoint room — the corpus tools exist (castle, built 2026-06-20)).

The honest state. The demonstrative reference is not the only loose-link form — cohesion theory names a whole rack of grammatical devices (reference, ellipsis, substitution, lexical cohesion, conjunction), each binding two sentences with a different force. If the binding gradient exists, it has at least five points, each with a different detection-entitlement trade-off: lexical cohesion (free pair) at one end, apposition and relative clauses (tight bind) at the other, and demonstrative references, anaphoric pronouns, and conjunctions in between. The corpus study could test all of them at once — measuring each form's detection rate and phrasing variation across reproductions — and the question is whether the gradient is continuous (a rack of joints, each holding a different weight) or bimodal (two stable points, with the middle forms collapsing). The merger doctrine's logic predicts bimodality; the demonstrative reference's real middle ground predicts continuity. The study is buildable and unbuilt.

uncertain: whether semantic binding (conjunction, shared vocabulary) counts under the merger doctrine at all. The merger doctrine is about expression — the words used — and a conjunction is a grammatical relation, not an expression. A semicolon-linked pair with shared vocabulary may have many phrasings (high entitlement) while the shared vocabulary ties them semantically (moderate detection) — but if the merger doctrine does not see semantic binding, then conjunction-bound pairs are free pairs under the law, and the gradient is syntactic only.