Revival of interest in the linguistic-cognitive interpretation of the deep level of language, as a means of facilitating the computerization of the semantic continuum of derived words, is driven by the schemati- zation of both implicit and explicit data concerning these words. The mental interpretation of word-forma- tive semantics, framed by the word-formative nest as a structured framework of knowledge, underscores the significance of this scientific inquiry. The goal of the work is to model natural language through the propositional semantics of derived words, which are expressions of semantic positions established according to the onomasiological criteri- on. The cognitive analysis of word-formation semantics is conducted using denumerative nouns, which are organized by the nesting principle into sixteen complex, system-forming units, each characterized by nu- merative vertices. The goal involves solving the following tasks: 1) to represent the semantic positions of derived nouns through the prism of frame organization; 2) to identify the cognitive structure of verbalized slots within subframes; 3) to establish the semantic content of propositional structures. In order to achieve the goal, the method of frame propositional-semantic modeling was applied in combination with the tool of interlevel interpretation. In the aspect of linguo-cognitology, word-forming nests are interpreted as structures organized with- in frames, which are used to verbalise the elements of the concept “QUANTITY”. Emphasis has shifted from analyzing the frame itself towards establishing the mental dimension of word-forming meaning, in accor- dance with the hirerarchy of frames. To mitigate mental-verbal dissonance, a verbalized slot within the frame structure of the word-form- ing nest has been established. This slot functions analogously to the “motivational sema” in motivation- al process. The propositional structure of nouns under investigation, which have a simple motivational base, is conceptualized as tripartite, consisting of “actant 1 – predicate – actant 2”. The right-sided propagator is designated as both primary and secondary based on the nonderivative's capacity to motivate the deriva- tive. Additionally, the linguistic affiliation of the motivator is also determined. For the first time, this study introduces a typology of specific derivative propositions, categorized according to the inherent situation- ality in derivative semantics. The propositional-semantic approach of the frame enables the identification of the disparity be- tween the semantics of the deep level (syntactic increments at the proposition level) and its surface layer with the lexical meaning and its mental modeling (semantic increments). As a result of investigation, frames are differentiated by the nature of heterogeneity in terms of their abil- ity to combine frame structures. It was found that the word-forming meanings of the analyzed nouns are char- acterized by the predominance of nouns of numerative and adjectival origin, based on the categorical feature. The cognitive content of the verbalized slots is represented by common and distinct (unique) topics. The unique cognitive theme of verbalized slots prevails, in particular, it refers to unique secondary mental themes within subframes with the indirect derivation of derived knowledge from the base, represented by a frame with quantitative-numerical notation. Therefore, the result of the study are modeled schemes of the semantics of numerical derivatives, which serve as a basis for their digitization, which will contribute to the improvement of machine transla- tion using the Ukrainian language, because situational implicite meanings often do not lend to verbaliza- tion due to the lacunarity of information data in the computer databases. The prospects of the research involve the cognitive structuring through the prism of semantic posi- tions of multilingual derivatives in numeral word formation and units motivated by other peripheral and core classes of derivates, at the word-formational level in the Ukrainian language. Additionally, it encom- passes the derivational systems of languages worldwide, excluding isolating ones.