Universe of Thoughts (UoT)

Creative reasoning framework based on Margaret Boden's cognitive science theory of creativity. Implements three paradigms that build sequentially: Combinational → Exploratory → Transformative.

When to Use

Use UoT when ANY of the following are true:

• Problem has ambiguous or undefined goals
• Solution space is vast and open-ended
• No single "correct" answer exists
• Conventional approaches have failed or are known to be suboptimal
• Task requires genuine innovation, not optimization
• Domain involves strategy, design, research direction, or policy

When NOT to Use

Do not use UoT for:

• Well-defined problems with verifiable solutions
• Mathematical or logical puzzles (use Chain-of-Thought)
• Tasks requiring convergent reasoning toward a known answer
• Optimization within fixed constraints
• Fact retrieval or factual accuracy tasks (use Chain-of-Verification)

Paradigm Selection

For maximum creativity, run all three sequentially. Each builds on the previous.

Phase 0: Problem Decomposition

Before selecting a paradigm, decompose the problem:

PROBLEM ANALYSIS:
├── Core Challenge: [What fundamentally needs solving]
├── Explicit Constraints: [Stated rules and limits]
├── Implicit Assumptions: [Unstated rules being assumed]
├── Current Domain: [Primary field this belongs to]
├── Adjacent Domains: [Related fields that might offer insight]
└── Success Criteria: [How to recognize a creative solution]

Paradigm 1: Combinational (C-UoT)

Goal: Generate novel combinations of existing ideas by connecting previously unrelated concepts.

C1: Domain Mapping

Identify 3-5 domains analogous to the problem domain:

HOME DOMAIN: [Problem's primary field]
ANALOGOUS DOMAINS:
├── [Domain A] - [Why analogous]
├── [Domain B] - [Why analogous]
├── [Domain C] - [Why analogous]
└── [Domain D] - [Why analogous]

C2: Concept Extraction

For each analogous domain:

DOMAIN: [Name]
├── Key Mechanisms: [How it works]
├── Solved Problems: [What challenges it addresses]
└── Transferable Elements: [What could apply to target problem]

C3: Cross-Domain Synthesis

Generate combinations systematically:

COMBINATION: [Domain A concept] + [Domain B concept]
├── Mechanism: [How they work together]
├── Application: [How this addresses the problem]
└── Assessment: [Feasibility and novelty]

C4: Output

Produce 3-5 combinational solutions ranked by feasibility and novelty.

Paradigm 2: Exploratory (E-UoT)

Goal: Discover new possibilities by probing the boundaries of the current solution space.

E1: Map Current Space

CURRENT SOLUTION SPACE:
├── Known Approaches: [Existing solutions]
├── Common Patterns: [What they share]
├── Boundaries: [Where exploration stops]
└── Implicit Limits: [Unstated constraints on exploration]

E2: Boundary Probing

For each boundary:

BOUNDARY: [Description]
├── What defines this limit?
├── What lies immediately beyond?
├── Is this boundary real or assumed?
└── What solution exists at/past the edge?

E3: Novel Thought Generation

NEW THOUGHT:
├── Description: [The new idea]
├── Relationship to Existing: [How it connects to known solutions]
├── Space Extension: [How it expands possibilities]
└── Integration Potential: [Can it combine with existing solutions]

E4: Output

Produce 3-5 exploratory solutions that extend beyond current boundaries while respecting immutable constraints.

Paradigm 3: Transformative (T-UoT)

Goal: Alter fundamental rules or constraints to enable radically new solutions.

T1: Constraint Archaeology

For each constraint:

CONSTRAINT: [Statement]
├── Origin: [Why this rule exists]
├── Type:
│   ├── Physical law → Immutable
│   ├── Regulatory → Potentially changeable
│   ├── Convention → Questionable
│   └── Assumption → Likely unnecessary
├── Removal Impact: [What happens without it]
└── Transformation Potential: [How it could be modified]

T2: Rule Transformation

For constraints marked questionable or unnecessary:

TRANSFORMATION:
├── Original Rule: [The constraint]
├── Transformation Type: [Inversion | Relaxation | Substitution | Elimination]
├── New Rule: [The modified version]
└── New Possibilities: [What becomes possible]

T3: Radical Solution Generation

TRANSFORMATIVE SOLUTION:
├── Rule Changes Required: [What must be different]
├── Mechanism: [How it works in the new space]
├── Implementation Path: [How to get from current state to new state]
├── Risk Assessment: [What could go wrong]
└── Reward Assessment: [Potential upside]

T4: Output

Produce 2-3 transformative solutions with explicit rule changes and implementation paths.

Integration: Full Pipeline

When running all three paradigms:

1. Execute C-UoT → Select top 2 solutions
2. Execute E-UoT starting from C-UoT outputs → Select top 2 solutions
3. Execute T-UoT starting from E-UoT outputs → Select top 2 solutions
4. Produce tiered portfolio:

SOLUTION PORTFOLIO:
├── Tier 1 (Low risk, moderate novelty): [Combinational solutions]
├── Tier 2 (Medium risk, high novelty): [Exploratory solutions]
└── Tier 3 (High risk, breakthrough potential): [Transformative solutions]

Evaluation Criteria

Assess all solutions on three dimensions:

Solutions must pass feasibility. Rank passing solutions by (Utility × Novelty).

Example: Single-Lane Bridge Traffic

Problem: Minimize vehicle delay on a single-lane bridge. No new bridges permitted.

Combinational

Exploratory

Transformative

References

• Suzuki & Banaei-Kashani (2025). "Universe of Thoughts: Enabling Creative Reasoning with Large Language Models." arXiv:2511.20471
• Boden, M. A. (2004, 2007, 2009). Computational creativity theory