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Main Author: Panner, Maks
Format: Recurso digital
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Published: Zenodo 2026
Online Access:https://doi.org/10.5281/zenodo.18264305
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author Panner, Maks
author_facet Panner, Maks
contents <p><span lang="EN-US">This article develops a stronger lexical architecture for ordinal meaning and its quantificational consequences. Building on the Successor-Closed Sequence Lexicon (SCSL), I treat FIRST as successor-saturated: encoding FIRST lexically guarantees not only an immediate successor (FIRST ⇒ SECOND) but an entire successor tail in the relevant sequence. I introduce Indefinite Tail Activation (ITA) as the interface update that maps this successor tail into a discourse-available remainder, canonically lexicalized as indefiniteness (some, a few, others) and, in certain configurations, as specific-referenced indefinites (all, each, every). The central new hypothesis is an ordinal→remainder-indefinite bridge: the ordinal head (derived from a cardinal index) entails a tail domain of indefinite quantification. I formalize this as a Head–Tail Quantifier Architecture (HTQA) with paired domains: (i) a definite head domain (cardinals and positional quantifiers/ordinals, including determinate and indeterminate ordinal types) and (ii) an indefinite tail domain (specific-referenced vs non-specific-referenced indefinites). The proposal is embedded in a bidirectional RED/DED diagnostic architecture: RED implements refinement along the successor chain (FIRST→SECOND→THIRD→…), while DED implements controlled collapse and coarsening from refined ordinal microstructure back to a coarse tail expressed by indefinites. The paper is a theory-and-diagnostics contribution: it introduces a new composed lexical mapping (cardinal→ordinal→indefinite tail), derives falsifiable predictions for continuation and cancellation diagnostics, and supplies replication-ready elicitation and coding protocols; it does not report new experimental results. (Panner 2026a; Panner 2026b).</span></p>
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spellingShingle Successor-Saturated Ordinals and Indefinite Tail Activation A Head-Tail Quantifier Architecture for Cardinal–Ordinal–Indefinite Correlations in a RED/DED Diagnostic Framework
Panner, Maks
<p><span lang="EN-US">This article develops a stronger lexical architecture for ordinal meaning and its quantificational consequences. Building on the Successor-Closed Sequence Lexicon (SCSL), I treat FIRST as successor-saturated: encoding FIRST lexically guarantees not only an immediate successor (FIRST ⇒ SECOND) but an entire successor tail in the relevant sequence. I introduce Indefinite Tail Activation (ITA) as the interface update that maps this successor tail into a discourse-available remainder, canonically lexicalized as indefiniteness (some, a few, others) and, in certain configurations, as specific-referenced indefinites (all, each, every). The central new hypothesis is an ordinal→remainder-indefinite bridge: the ordinal head (derived from a cardinal index) entails a tail domain of indefinite quantification. I formalize this as a Head–Tail Quantifier Architecture (HTQA) with paired domains: (i) a definite head domain (cardinals and positional quantifiers/ordinals, including determinate and indeterminate ordinal types) and (ii) an indefinite tail domain (specific-referenced vs non-specific-referenced indefinites). The proposal is embedded in a bidirectional RED/DED diagnostic architecture: RED implements refinement along the successor chain (FIRST→SECOND→THIRD→…), while DED implements controlled collapse and coarsening from refined ordinal microstructure back to a coarse tail expressed by indefinites. The paper is a theory-and-diagnostics contribution: it introduces a new composed lexical mapping (cardinal→ordinal→indefinite tail), derives falsifiable predictions for continuation and cancellation diagnostics, and supplies replication-ready elicitation and coding protocols; it does not report new experimental results. (Panner 2026a; Panner 2026b).</span></p>
title Successor-Saturated Ordinals and Indefinite Tail Activation A Head-Tail Quantifier Architecture for Cardinal–Ordinal–Indefinite Correlations in a RED/DED Diagnostic Framework
url https://doi.org/10.5281/zenodo.18264305