Weird Science Knowledge Base
This knowledge base contains atomic concept articles extracted through semantic analysis of LaTeX sources and Zotero references. The knowledge base is organized around research projects, each investigating specific aspects of systems theory and formal ontologies.
Research Projects
From Conceptualization to Ontology
A philosophical excavation of formal system concepts, tracing the trajectory from extensional mathematical structures through intensional conceptualizations to formal ontologies.
Core Investigation: How do we move from mathematical descriptions of specific system states to general conceptualizations that capture all possible states, and finally to ontological commitments suitable for computational reasoning?
Key Concepts: extensional-relational-structure, intensional-relational-structure, conceptualization, ontological-commitment, intended-models, ontology-specification
Non-well-founded Hierarchies of Nested Systems
A systematic investigation of complex systems through recursive nesting of subsystems, examining emergence as a structural phenomenon in hierarchical architectures.
Core Investigation: How can we rigorously formalize the hierarchical organization of complex systems, where subsystems themselves contain subsystems, potentially leading to non-well-founded structures?
Key Concepts: system, subsystem, nested-system, hierarchy, hierarchical-decomposition, valued-relation, input-output-system
Foundations of General Systems Theory: A Survey
A comprehensive survey of mathematical formalizations of systems theory, tracing conceptual foundations through seminal contributions from Mesarovic, Takahara, Yi Lin, and other key figures.
Core Investigation: What are the fundamental mathematical definitions and theoretical insights that form the foundation of General Systems Theory across different formalizations?
Key Concepts: system, valued-relation, hierarchy, subsystem
Concept Domains
Formal Ontologies
Foundational concepts for formal representation of systems and ontologies.
- conceptualization - Intensional structures representing reality
- extensional-relational-structure - Mathematical substrate for system descriptions
- intensional-relational-structure - Conceptualizations across all possible states
- ontological-commitment - Philosophical commitments in formal representations
- intended-models - Relationship between specifications and interpretations
- ontology-specification - Practical ontology engineering
- world-and-world-state - Maximal observable states and temporal evolution
- intensional-relation - Functions mapping world states to extensions
- extensional-first-order-structure - Model-theoretic semantics for first-order logic
9 concepts | View Index
Systems Theory
Mathematical foundations and formal definitions of systems, subsystems, and hierarchies.
- system - Core definition of systems as valued relations
- subsystem - Formal characterization of part-whole relationships
- supersystem - System encompassing others with functional dependencies
- parthood - The enclose relation combining subsystem and membership
- nested-system - Recursive nesting and hierarchical organization
- hierarchy - Multi-level system architectures
- hierarchical-decomposition - Breaking down complex systems
- superlevel-system - Coarse-grained level transitions
- sublevel-system - Fine-grained level transitions revealing microstructure
- valued-relation - Mathematical framework for system descriptions
- input-output-system - Systems characterized by input/output behavior
- emergence - Novel properties arising at coarser organizational scales
- near-decomposability - Weak coupling enabling stable hierarchical organization
13 concepts | View Index
Mathematical Foundations
Set-theoretic and logical foundations underlying systems theory.
- relational-structure - Mathematical structures of relations
- set-theoretic-system - Set-theoretic foundations of systems
2 concepts | View Index
Knowledge Base Statistics
- Total Concepts: 24 atomic concept articles
- Research Projects: 3 active investigations
- Concept Domains: 3 hierarchical categories
- LaTeX Sources: 17 files analyzed
- Bibliography: 110+ references
Navigation Guide
- Start with Projects: Begin by exploring the research projects to understand the lines of investigation
- Dive into Concepts: Follow wikilinks from projects to atomic concept articles
- Explore Domains: Browse concepts by domain to see the full landscape
- View Relationships: Use the interactive graph visualization to see connections between concepts
About This Knowledge Base
This knowledge base is automatically synchronized with:
- LaTeX sources in the repository
- Zotero group library (Group ID: 6182921)
- Project summaries linking citations to references
Atomic concept articles are generated through semantic analysis performed by Claude Code, following structured prompts that extract definitions, relationships, and theoretical context from LaTeX sources.
Last updated: 2025-11-03