Linguistic and Visuospatial Chunking as Quantitative Constraints on Propositional Logic

Donna E. West ()
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Donna E. West: State University of New York, Modern Languages

Chapter 3 in Handbook of Cognitive Mathematics, 2022, pp 67-88 from Springer

Abstract: Abstract This account explores the mathematical underpinnings of working memory (WM) processes. It assumes a semiotic approach, positing that constructing signs by analogy (with indexical and iconic values) is paramount in establishing and reforming units handled in limited (space, time) memory systems. Accordingly, analogies constitute mathematical tools, in that they increase meaning efficacy, while decreasing the processing load. Analogies both unify smaller units into larger, more potent ones, and likewise conserve the number of meaning components permitted to be encoded, and stored in WM and eventually in LTM. This chunking process can be unconscious, or conscious; but, in either case, it advantages propositional meanings by incorporating units (linguistic, sensory stimuli) into larger aggregates. Sacrificing the often very abstract meanings of smaller units does not result in meaning reduction; rather its embeddedness within meaning frames provides needed contextual amplification to enhance interpretive endeavors. As such, chunking is equivocal to an additive operation in mathematics whereby new members of a class inform both the addition to the class, as well as the class’ identity. Armed with the means to classify, chunking provides quantitative and qualitative advantages, one of which is increased space and resources in WM to admit fewer items with more potent meaning associations.

Keywords: Working Memory; Chunking; Icon; Index; Episodic Processing; Diagrammatic Reasoning (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/978-3-031-03945-4_44

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