Minimal Units & Generative Rules

Abstractions that decompose a system's surface variety into a small inventory of contrastive units combined by productive rules — phonemes, morphemes, syntax trees, and rhetorical topoi — alongside the quantitative laws (Heaps', type-token ratio) describing how that inventory grows.

14 abstractions in this family — domain-specific abstractions that sit near one another in structural-signature space (k-means over structural-signature embeddings). Each is shown with its short description.

• Abstract Syntax Tree — Represent a program's grammatical structure as a recursive tree built from a parser, keeping the meaning-bearing constructs and discarding surface details — whitespace, comments, redundant brackets — so two sources that differ only in formatting yield the identical tree.
• Allophone — One of the context-conditioned phonetic realisations of a single phoneme — predictable from environment and non-contrastive, so substituting one for another never changes which word is recognised, as decided by complementary distribution and the minimal-pair test.
• Axial Coding — Re-link the fragmented categories from open coding around a fixed relational paradigm (conditions / phenomenon / context / intervening conditions / actions / consequences), turning an atomised code list into a relational map ready for theoretical integration.
• Callback Hell — The readability collapse that results when a sequential chain of asynchronous steps is written as nested continuation callbacks, so indentation depth grows with step count and the code's textual shape inverts the computation's temporal order.
• Chronotope — Read the coupling of a narrative's time-pattern and space-pattern as an admissibility structure that determines which events, encounters, and protagonists can take shape inside it, rather than as separable descriptive settings.
• Heaps' Law — The empirical regularity that a corpus's distinct-word-type count grows as a sublinear power of the token count, V = K·N^β with β below 1, so vocabulary rises without bound ever more slowly and can be extrapolated across scale from two fitted parameters.
• Morphology — Analyze the unbounded set of a language's word-forms as the output of a finite morpheme inventory combined by productive rules under ordering, surface-variation, and blocking constraints, so novel words parse on first encounter.
• Phoneme — The smallest contrastively distinctive sound category in a language — the unit whose substitution at a position can change a word's meaning — defined not by its acoustics but by its place in that language's lattice of contrasts, and extracted by the minimal-pair test.
• Phonology — Study speech sound as a closed language-specific system of contrasts — phonemes defined by what they are not, governed by phonotactic, allophonic, and prosodic rules — rather than as a catalogue of acoustic events, with the minimal-pair test extracting the inventory.
• Phonotactics — Generate a binary well-formedness verdict for any phoneme string — including one never uttered — from a small constraint grammar of syllable positions, sonority sequencing, and adjacency rules, entirely before meaning is consulted.
• Prosody — The supra-segmental layer of speech — rhythm, stress, pitch, tempo, and pause — that encodes meaning by patterning over the words rather than in them, so a fixed lexical string can shift between statement, question, command, or sarcasm purely through its envelope.
• Structuralism — Analyse meaning in a system as determined by the relations among its elements rather than their intrinsic properties — defining each unit by what it is not, bracketing history, and recovering the small latent relational grammar that generates a corpus's large surface variety.
• Topoi — The pre-formed argument templates of rhetorical invention — a finite catalogue of move-forms (definition, a fortiori, cause-and-effect, sign, precedent) whose form is fixed and content variable — so finding arguments becomes an auditable search through a known library rather than creation ex nihilo.
• Type-Token Ratio — Estimate a language sample's lexical diversity as distinct word types over total tokens, while correcting for the sample-size confound that makes vocabulary grow sublinearly and raw TTR fall with length.