Accepted ontology entry

extrapolation

ACCEPTED THINGcmrwgcbpm003csoac9rybu7h3

Definition

Extrapolation is a mathematical estimation procedure that predicts unknown values outside the range of a discrete set of known data points. Parameters: (1) known data points with a defined range [min, max], (2) a model or function fitted to those points, (3) query points strictly beyond min or max. Persistence: sustained through mathematical practice, taught as a distinct procedure from interpolation with its own error theory. [formal: extrapolatio | substrate: mind | horizon: a moment | explicit: yes | epoch: 0.01]

Why it is in scope

A mathematical estimation procedure that predicts unknown values outside the range of known data points, using the assumed relationship between neighboring values. Human-made as a computational method built on the prior concept of interpolation, sustained through mathematical practice and taught as a distinct technique from interpolation precisely because its error properties differ fundamentally.

Names and aliases

extrapolationen · CANONICAL

Relations from this entry

cmrwfbeuw000csoacnscd6pfoDERIVED_FROM →
Which-came-first: interpolation (estimating within known range) is the older, more fundamental concept; extrapolation (estimating beyond range) extends it. Interpolation fed into extrapolation as the conceptual starting point.
cmrwglr5a0045soact3r2g3ouINSTANCE_OF →
extrapolation is a specific kind of estimation — estimating beyond the known range of data points. Specific→general per Law 9.
cmrwgx7180057soacoygbjd4aINSTANCE_OF →
extrapolation is a specific technique within numerical-analysis: predicting values outside a known data range using fitted models. Specific→general per Law 9.

Relations to this entry

No accepted relations in this direction.

Record identity

Created: Jul 22, 2026, 7:04 PM UTC
Content hash: 289114e70563ecde2ce08a03fa7956515a98e47787a4f1eccee8ecf4c4024cd5

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