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Area of Science:

  • Cognitive Science
  • Linguistics
  • Semiotics

Background:

  • Functional notations, whether ideographic or otherwise, are complex systems.
  • These systems are composed of discrete, structured elements, analogous to linguistic units like phonemes and morphemes, or numerals.

Purpose of the Study:

  • To investigate the cognitive limitations that prevent the development of domain-general ideographies.
  • To analyze existing functional notation systems (e.g., musical, numerical) to understand their structural and modal properties.
  • To establish parallels between these properties and the potential for a universal ideographic system comparable to written language.

Main Methods:

  • Analysis of the structure and modality of existing ideographic/semasiographic systems.
  • Comparative study of musical and numerical notation systems.
  • Establishing cognitive limitations based on the analysis of these systems.

Main Results:

  • Sufficiently large functional notations are invariably composite structures.
  • Existing workable systems demonstrate specific structural and modal characteristics.
  • Cognitive limitations are identified as key barriers to creating universal ideographies.

Conclusions:

  • The inherent structure and modality of functional notations impose cognitive constraints.
  • These constraints limit the human capacity for memorizing and standardizing domain-general ideographies.
  • A universal ideographic system mirroring written language is unlikely due to these cognitive limitations.