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Structuring Abstract Concepts Language

   October 3, 2023
   I am interested in gathering together some language to express
   relationships between several types of structures. The first of these,
   which I will describe, is a tree structure of abstract concepts. It is
   a tree structure in the sense that lower-ordered nodes inherit from
   higher-ordered nodes, and that generation of sibling nodes is the
   result of an analysis which obtains (relatively) orthogonal,
   (relatively) mutually exclusive terms. Call this tree A. The relative
   orthogonality of tree A is in contrast to the two other tree
   structures, B and C. Both of these two are also of a tree-like, nodal,
   structure, but there is no requirement that they represent organized,
   relatively orthogonal dimensions. These two structures are similar to
   each other only in the sense of being relatively disorganized, however
   each of these two contain references to the first conceptual tree I
   described. My problem will be to discover the operations upon trees B
   and C such that structures already to be found in tree A, will result
   from the (to be) discovered operations. What disciplines will provide
   me with normative language in which to express ideas such as these?
   ChatGPT

   It seems like you're interested in working with structured data and
   relationships between different types of structures, particularly
   tree-like structures representing abstract concepts. To express and
   work with these ideas effectively, you can draw upon several
   disciplines and fields:
    1. Graph Theory: This branch of mathematics deals with the study of
       graphs, which include trees. It provides formal terminology and
       notation for describing the structure of your trees A, B, and C, as
       well as operations on these structures.
    2. Set Theory: Set theory is foundational in mathematics and can be
       used to describe relationships and operations between sets of
       abstract concepts, which can correspond to nodes in your tree
       structures.
    3. Information Science: Information science and information theory can
       help you quantify and measure the relationships and information
       content within and between your tree structures.
    4. Data Science and Machine Learning: These fields can provide tools
       and techniques for analyzing and manipulating structured data,
       including trees. You can explore methods for discovering
       relationships and operations to transform tree B and C into tree A.
    5. Semantic Web: This field deals with representing knowledge in a
       structured and machine-readable way. Concepts like RDF (Resource
       Description Framework) and OWL (Web Ontology Language) can be
       useful for representing relationships between abstract concepts.
    6. Linguistics and Semiotics: These disciplines can help you in
       developing a language to describe relationships between abstract
       concepts and the operations used to transform one structure into
       another.
    7. Knowledge Representation and Ontologies: These areas focus on
       formal representations of knowledge, often in tree or graph
       structures. You can look into ontology development to define the
       relationships and concepts in your structures.
    8. Cognitive Science and Psychology: Understanding how the human mind
       organizes and relates concepts can provide insights into
       structuring your trees and defining operations.
    9. Computational Linguistics: This field deals with natural language
       processing and can help you bridge the gap between your abstract
       concepts and the language used to describe them.
   10. Philosophy of Language and Metaphysics: These philosophical
       disciplines explore the nature of language and the relationships
       between concepts. They can provide insights into the theoretical
       aspects of your work.

   Depending on the specific details and goals of your project, you may
   find that a combination of these disciplines is necessary to develop a
   comprehensive language for expressing relationships and operations
   between your tree structures. It's also important to engage with
   experts in these fields to ensure that your approach is rigorous and
   well-informed.
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References

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