Lexical Generativity in English: An Empirical Study of Verb Classes, Noun Polysemy, and Prepositions
Description
Lexical Generativity in English
Lexical Generativity in English: An Empirical Study of Verb Classes, Noun Polysemy, and Prepositions
Author: Pablo Nogueira Grossi · G6 LLC · Newark NJ ORCID: 0009-0000-6496-2186 Series root: https://doi.org/10.5281/zenodo.19117399 Submitted to: International Journal of Lexicography (Oxford University Press) License: CC BY 4.0
Abstract
This article examines lexical generativity in English: the capacity of a finite lexical inventory to support a theoretically unbounded range of context-sensitive meanings in use. Drawing on three converging empirical resources — the verb classification system of Levin (1991, 1993), the frame-semantic architecture of FrameNet (Fillmore, Johnson & Petruck, 2003), and the class-membership and alternation structure of VerbNet (Kipper, Korhonen, Ryant & Palmer, 2008) — the article proposes a layered model of lexical generativity that distinguishes among:
- (a) stored semantic primitives and qualia structure (Level I)
- (b) argument-structure templates licensed by class membership (Level II)
- (c) event-type composition rules governing productive meaning extension (Level III)
The empirical core consists of detailed analysis of twelve English verb classes: manner-of-motion, change-of-state, causative-inchoative alternation, communication verbs, psychological verbs, creation-and-transformation verbs, aspectual verbs, verbs of putting, spray-load verbs, contact-by-impact verbs, perception verbs, emission verbs, and verbs of appearance and disappearance. The analysis is extended to systematic noun polysemy — dot objects, type coercion, and metonymic transfer — and to the generative semantics of English spatial prepositions, with a case study of over. Throughout, the article argues that apparent lexicographic irregularities are systematic consequences of a small set of generative principles that can be stated precisely, incorporated into lexicographic description, and exploited in computational lexicography. Implications for dictionary design, large-scale lexical database annotation, and natural language processing are discussed.
Keywords: lexical generativity · verb classes · noun polysemy · prepositions · FrameNet · VerbNet · Levin classes · generative lexicon · computational lexicography · argument structure · type coercion · metonymy · qualia structure
Deposit Contents
| File | Description |
|---|---|
lexical_generativity_en.pdf |
Main article, ~14,000 words |
Article Structure
| Section | Content |
|---|---|
| 1 | Introduction: three forms of lexical generativity |
| 2 | Background: Levin verb classes, FrameNet, VerbNet |
| 3 | Theoretical framework: the three-level model |
| 4 | Verb class analyses (twelve classes) |
| 5 | Noun polysemy: dot objects, type coercion, metonymic transfer |
| 6 | Prepositions and spatial semantics (over case study) |
| 7 | Computational implications: dictionary design, database annotation, NLP |
| 8 | Discussion |
| 9 | Conclusion |
Submission Status
Submitted to the International Journal of Lexicography (Oxford University Press). This preprint is posted in accordance with OUP's preprint policy.
Related Deposits
| Work | DOI |
|---|---|
| Principia Orthogona series root | https://doi.org/10.5281/zenodo.19117399 |
| GCM Institutional Edition (context for this article) | https://doi.org/10.5281/zenodo.19513913 |
Coherence Bridge v8.4
coherence_bridge_v8_4.yaml is the machine-readable synchronisation file between the TOGT five-operator grammar, GCM contact geometry, and all three formal pillars. Key changes from v8.3:
- Anantharaman–Monk source expanded to full arXiv series (arXiv:2304.02678, arXiv:2403.12576, arXiv:2502.12268); Hide–Macera–Thomas polynomial-rate follow-up (arXiv:2508.14874) noted; all five TOGT entries sharpened to precise mathematical statements.
- Wang–Zahl source expanded to arXiv:2502.17655 + precursor arXiv:2210.09581 + Guth surveys arXiv:2505.07695 / arXiv:2508.05475; conjecture-proved status corrected throughout (was mislabelled open);
claim_level_notefield added to prevent misreading ofanalogicaltag; all five TOGT entries fully populated.
Three formal pillars — sorry inventory
| Pillar | Lean file | Proved | Sorry |
|---|---|---|---|
| Discrete (Collatz) | DiscreteDm3.lean v1.6 |
operatorDecomposition, contactForm |
meanContraction, lyapunovDescent, hasStructuredCycle |
| Continuous (Navier–Stokes) | Dm3Cont.lean v1.0 |
operatorDecomposition, contactForm |
meanContraction_cont, lyapunovDescent_cont, hasStructuredAttractor |
| Arithmetic-analytic (BSD) | BSD_dm3.lean v1.0 |
operatorDecomposition, contactForm |
meanContraction_BSD, lyapunovDescent_BSD, hasStructuredCycle_BSD |
Closing the three admits on any pillar turns the corresponding conjecture into a categorical corollary of the dm³ framework.
Python Simulation — Reproduce Figures
pip install numpy matplotlib
python3 autophagy_dm3.py --out figures/
Generates all four paper figures. The nbonacci_criticality.py and nbonacci_critical_lambda.py scripts in the AXLE repository reproduce the DNLS / n-bonacci criticality figures from the companion paper (DOI: 10.5281/zenodo.20026942).
Related Deposits
| Paper | DOI |
|---|---|
| Principia Orthogona series root | 10.5281/zenodo.19117400 |
| This deposit (Autophagy / Triple-alpha) | 10.5281/zenodo.20168812 |
| DNLS / n-bonacci companion paper | 10.5281/zenodo.20026942 |
| Fruit-fly / MultiOrbitBioSwarm | 10.5281/zenodo.19210136 |
| GCM Institutional Edition (manifesto) | 10.5281/zenodo.19513913 |
Keywords
dm³ operator · contact geometry · Whitney fold · autophagy · triple-alpha process · Lean 4 · Mathlib4 · formal verification · TOGT · operator grammar · coherence bridge · Collatz · Navier–Stokes · BSD conjecture · stability radius · ε₀ = 1/3 · Principia Orthogona · G6 LLC
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Additional details
Software
- Repository URL
- https://totogt.github.io/AXLE/index.html
- Programming language
- Python , Lean
- Development Status
- Active