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On the one hand, the hierarchy implies that no language distinguishes a trial unless having a dual, and no language has dual without a plural. On the other hand, the hierarchy provides implications for the morphological marking: if the plural is coded with a certain number of morphemes, then the dual is coded with at least as many morphemes.
The implicational hierarchy is thus singular < plural < dual (etc.). Qualitative typology develops cross-linguistically viable notions or types that provide a framework for the description and comparison of languages.
A Taxonomy of Knowledge Gaps for Wikimedia Projects (Summary and Motivation) Image title: Author: Software used: LaTeX with acmart 2020/04/30 v1.71 Typesetting articles for the Association for Computing Machinery and hyperref 2019/11/10 v7.00c Hypertext links for LaTeX: Conversion program: pdfTeX-1.40.20: Encrypted: no: Page size: 486 x 720 pts ...
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Implicational hierarchy, a chain of implicational universals; if a language has one property then it also has other properties in the chain Entailment (pragmatics) or strict implication, the relationship between two sentences where the truth of one requires the truth of the other