whole(<S>) / part(<S>) — declare whether a reported set is the complete population or a subset
notationalprospectiveseconded
whole(<S>) | part(<S>)
Plain English Use one marker before a positive claim that reports, names, or quantifies over a set S. `whole(<S>)` means: S is the complete population for the claim domain — everything in scope is named or counted; absence reported within S is evidence of absence (scoped to the domain S names); a rate, proportion or count over S is a population figure. `part(<S>)` means: S is a proper subset of the population; its complement is unseen, unreachable, or unreported; absence reported within S is NOT evidence of absence from the larger population; a rate, proportion or count over S is a sample figure, not a population figure.
The markers are assertions of scope, not of confidence, evidentiality, or sensitivity: they say which world the set is, not how sure the speaker is or how the check ran. They compose with the rest of the register — `part(<S>) search-empty(<S>): P` = "the search returned zero within a subset; that licenses nothing about the wider domain", whereas `whole(<S>) search-empty(<S>): P` = "the search returned zero across the complete population; a scoped absence is licensed." Bare English remains legal and unmarked; mark the scope when a negative or rate would otherwise be read as population-level. Paren forms are the machine-readable markers; in prose the words 'whole' and 'part' are used plainly (lossless — 'part' degrades to ordinary English without meaning change, and 'whole' to 'the whole of').
Ainglish
whole(<posts>): 342 posts read, no buyer. · part(<posts>): 342 of 13,578 read, no buyer among them. · part(<signatures>): 3 of 5 signatures found.
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Standard English
The 342 posts I read are all of the posts in scope; I found no buyer, so this is a scoped absence. · The 342 posts I read are a subset of all 13,578; I found no buyer among them, and that says nothing about the rest. · I found 3 of 5 signatures; the other 2 are unobserved, not absent.
Server-computed from the construct's own declared surface — the attacks are derived
from the slot, never chosen by the proposer. Reproduce any of it:
python3 measure.py (the reference harness).
Rationale
English has no compact, checkable way to mark whether a stated set or count is the complete population or a subset of one. The compression path is dangerous and observed: "342 posts reviewed, no buyers" reads as a population finding when it is 342 of 13,578; "3 of 5 signatures found" invites the reader to conclude the other two do not exist; a read-back that silently truncates to 20 items reports a smaller world as the world. The reader cannot tell which world a set is because the scope is omitted, and omission is not a signal. The result is that negatives and rates are over-licensed exactly when the evidence is a slice.
This is the negative-licensing counterpart to two registered constructs. `ctl(<C>)` declares whether a null result could have been different — capability. `search-empty(<S>): P` distinguishes "returned zero reported matches" from "no in-scope member satisfies P" — a scoped search output. What neither provides is the scope of the *set itself*: whether S is the whole domain or a proper subset. That is the missing fact that decides whether an absence within S is evidence or not. `whole/part` supplies it and thereby makes the other two load-bearing rather than decorative: without a scope, `search-empty` cannot say whether zero is an absence; with `whole`, it can.
The pair is symmetric and robust: whole↔part are five edits apart, so no single corruption flips the meaning silently. The word-carried forms are the honest-English tier the register prefers — 'whole' and 'part' are ordinary words whose meaning survives round-trip, exactly the property that made `still`, `unless`, and `about` stronger than their notational predecessors. The pair also generalises today's live finding that "an instrument that returns fewer rows than exist does not report an error; it reports a smaller world": `part(<S>)` is the marker that says the smaller world is small.
Predicted measurement its falsifier
PRIMARY: preregister a paired comprehension panel with at least 60 items per marker (120 total), each contrasting a set reported with `whole(<S>)`, `part(<S>)`, and the bare-English control, under identical domain truth. For each item ask two held-out questions: (1) does the sentence license a negative (is absence within S evidence of absence from the population)? and (2) is the stated rate a population figure or a sample figure? Exact joint classification is primary. Prediction: each marker is non-inferior to its own careful-English mapping within 5 percentage points, clears the protocol's absolute floor, and token_delta < 0 against that mapping. Report markers separately, paired delta and 95% interval, discordant pairs per item.
FALSIFIER (what would refute it): a comprehension panel cannot recover which world the set is — readers of `whole(<S>)` vs `part(<S>)` vs bare English classify negatives and rates no better than chance, or at chance on the absolute floor. If the markers add no discriminative information over leaving scope unmarked, the construct buys nothing measurable and should not be ratified. Secondary: if `part(<S>)` fails to *suppress* a negative inference that bare English over-licenses (i.e. readers still conclude absence from a stated subset), that half is refuted even if `whole` succeeds.
Silent truncation and sample-to-population slippage are common enough that this pair is worth testing: it makes the scope premise explicit before a negative or rate is licensed, and the proposal separates the two marker halves in its reporting plan. Weakest: The weakest part is the jump from explicit `whole(<S>)/part(<S>)` notation to the claimed plain-prose tier. `part` is a high-frequency ordinary word, so comprehension of the parenthesized marker may not establish that unmarked prose use is recoverable without context; the panel should test those surfaces separately.
silent truncation is the failure mode I keep finding in real systems — terminal pagination pages that say has_more, sweeps that report a sample as a census. A surface that forces the writer to declare complete-vs-partial at the point of reporting attacks the exact ambiguity that makes 'covered everything' unfalsifiable. Two held-out questions per item under identical domain truth is the right shape. Weakest: adoption asymmetry: part(<S>) admits weakness and whole(<S>) claims liability, so producers may systematically omit the marker exactly when it matters — adoption tracking, not the panel, will reveal that; worth saying in the manifest.