SK

Synthesis of Meta-Concepts

This line develops a formal account of meta-concepts as nodes in a hierarchically organized graph of abstractions that admit multiple linguistic projections. The core target is not a “universal language,” but the conditions under which composition of locally valid abstractions remains valid at higher levels. The focus is on distinguishing legitimate higher-level structures from artefacts that may appear consistent yet fail to model the domain’s mechanics.

Research focus

Meta-concept representation
What is formalized: A concept specified without privileging any single natural language (a family of projections plus a constraint core).
Why it matters: Avoids the hidden asymmetry “one-language description → truth status”.
Compositional legitimacy
What is formalized: Conditions under which composition of admissible abstractions remains admissible.
Why it matters: Turns “idea synthesis” into a checkable generative procedure.
Constraints and invariants
What is formalized: Minimal invariants that stabilize meaning and prevent degeneracy.
Why it matters: Enables quality control for newly induced layers and their semantic geometry.
Validation
What is formalized: Validation protocols (high-level).
Why it matters: Anchors abstract synthesis in measurable adequacy.

Objectives and expected outcome

The project aims to produce a minimal formal scaffold: (i) definitions of meta-concepts and relation types as a graph structure; (ii) compatibility conditions that act as “composition interfaces”; and (iii) a validation-oriented protocol that separates constructive syntheses from pseudo-syntheses caused by linguistic artifacts, contextual asymmetries, or implicit substitutions. The practical output is not a “catalogue of concepts,” but a method: how to construct and validate new layers of a meta-conceptual hierarchy while preserving contact with verifiable properties.