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

Paradigm	Condition	Output
Combinational	Familiar elements exist but need fresh combinations	Novel hybrids from cross-domain synthesis
Exploratory	Current solution space feels exhausted	Expanded boundaries, adjacent possibilities
Transformative	Constraints themselves block progress	Redefined rules, radical departures

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

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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]

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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.

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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.

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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.

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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]

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Evaluation Criteria

Assess all solutions on the dimensions below:

Dimension	Question	Scale
Feasibility	Does it violate immutable constraints?	Pass/Fail
Utility	How effectively does it solve the problem?	1-10
Novelty	How different from existing approaches?	1-10

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

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Example: Single-Lane Bridge Traffic

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

Combinational

Source Domain	Concept	Application
Air traffic control	Scheduled slots	Time-slot reservations for vehicles
Packet switching	Dynamic routing	Priority-based direction changes
Tidal systems	Periodic reversal	Time-based directional flow

Exploratory

Boundary	Probe	Solution
Vehicles are independent	What if they communicated?	Convoy formation, platooning
Bridge is passive	What if it signaled?	Smart bridge with dynamic indicators
Optimize for fairness	What if throughput mattered more?	Batch processing by direction

Transformative

Constraint	Type	Transformation	Solution
Single lane	Convention	Virtual lanes	Motorcycle/bicycle parallel path
Vehicles	Assumption	Move people, not cars	Pedestrian/bike priority + parking
Bridge	Assumption	Challenge "crossing"	Cable car, ferry, tunnel

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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