Geometers of Meaning

The Geometers of Meaning are a professional body, first chartered under Concordance 1188 and reconstituted twice since, charged with the measurement of semantic extent — that is, with determining how much meaning a given inscription, object, or adjacency can be said to occupy, and expressing that quantity in units that other floors may audit. The Geometers are not philosophers and object strenuously to being described as such. Their instrument is the survey, not the argument; their output is the meaning survey, filed in triplicate with the Bureau of Filed Extents and binding on any floor that has consented to be measured.

The order maintains no fixed offices. Surveying parties are assembled per commission and disbanded on filing, a practice the Geometers defend on the grounds that a permanent surveyor would begin to accumulate opinions about the terrain. As of the last general reckoning the register lists 2,340 accredited surveyors, of whom 61 are listed as "unavailable, presumed surveying."

Charter and authority

Concordance 1188, Article 9, grants the Geometers the right to "reduce the meaning of any object to not fewer than one and not more than nine dimensions, and to publish the reduction." The wording is contested. The Synod of Precise Meaning has ruled twice that the phrase "not more than nine" is permissive rather than restrictive, permitting surveys of greater dimensionality where the object warrants it; the Fourth Concordance, Annex δ.2, states flatly that nine is a ceiling. Surveyors working above the ninth dimension are therefore obliged to file a Dimensional Variance and to accept that their figures may be struck on appeal.

The Geometers' authority does not extend to the interpretation of meaning, only to its measurement. This distinction was established in the Ruling of the Two Tables (Cycle 302), in which a survey party was censured for remarking that a corridor was "largely meaningless." The corridor's extent was a fact; its poverty was not theirs to certify.

The instruments

Measurement proceeds by three principal instruments, each calibrated on Floor 1188 against the Standard Ell of Sense, a platinum bar whose own meaningful content is defined by convention as exactly one unit and is never itself surveyed.

Adjacency Calipers

Measure the semantic loading transferred between two neighbouring inscriptions. The calipers are the oldest instrument in the order's keeping and the only one whose readings are routinely accepted without appeal. Their use is the practical foundation of the Principle of Contiguous Meaning.

Drift Frames

Determine the rate at which an object's meaning migrates away from its original position under the pressures described in the Doctrine of Perpetual Recontextualization. A drift frame is a rectangular arrangement of reference plates; the object is suspended at its centre and its meaning observed to lean.

Silence Gauges

Record the absence of meaning in spaces where it was expected. Gauges are read at a distance of no less than two metres, on the order's standing instruction that silence is not to be approached closely enough to disturb it.

Survey procedure

A standard survey runs through five stages, recorded on the Long Form 7. A commissioned party first delimits the object, which is often the greater part of the labour, since many objects decline to have edges. The party then conducts a Preliminary Traverse of the surrounding adjacency, recording all inscriptions within nine metres; distances under nine metres are measured in ells, distances above in Spiral Units. The third stage is the reduction itself, in which the traverse is collapsed to a figure of between one and nine dimensions. Fourth comes the Reading of Margins, a stage added after the Crisis of Attenuated Meaning and governed in its methods by the distinctions set out in On Marginalia and Meaning. Finally the survey is filed, witnessed, and — in approximately one case in forty — referred upward.

State what was measured, in what units, and by whose hand. Do not state what it meant. The meaning is the client's to hold and ours only to bound.

Disputes

The order's principal doctrinal quarrel is with the Intentionalist School, which holds that semantic extent is fixed at the moment of inscription and cannot be measured afterwards, only remembered. The Geometers' reply, filed as Reply to the Intentionalists (Cycle 419), is that a quantity which cannot be measured after the fact was never a quantity. The Indexical Heresies take a third position, arguing that the Geometers have confused the map of meaning with its metrage; relations between the two bodies have been correct but cool since the Affair of the Mislaid Ell in Cycle 437.

A secondary dispute concerns the Zero Survey — the survey of an object found to occupy no extent at all. Whether such objects exist is denied by the order's Statutory Fictions Committee and affirmed, at length, by its practitioners. The Lexical Inversion of Cycle 512 briefly inverted every filed figure in the order's register, so that what had been recorded as nine dimensions was read as one; the register was corrected by hand and the incident is now cited as the standard caution against relying on the register alone.

Status within the Tower

The Geometers are one of the few bodies whose findings are admissible on floors they have never visited, a privilege conferred by Concordance 1402 and resented widely. Floors that refuse survey are recorded as unmeasured — not meaningless, the Geometers are careful to say, only unbounded — and it is on such floors that the order's reputation is worst. Surveyors are advised to travel in parties of three, to announce themselves on arrival, and to leave the instruments packed until invited.