Skip to content

reasoning-tension-calc.md

Latest commit

 

History

History
182 lines (143 loc) · 4.99 KB

reasoning-tension-calc.md

File metadata and controls

182 lines (143 loc) · 4.99 KB
tools
read
write
grep
arguments $CONCEPT1 $CONCEPT2

Semantic Tension Calculator

Calculate the semantic tension (ΔS) between concepts to measure conceptual distance and reasoning jumps.

Based on the WFGY project: https://github.com/onestardao/WFGY

Instructions

  1. Parse Input Concepts

    • Extract first concept from "$CONCEPT1"
    • Extract second concept from "$CONCEPT2"
    • If only one provided, compare with current context
    • Validate concept representations

  2. Generate Semantic Embeddings

    • Create embedding vector for concept 1
    • Create embedding vector for concept 2
    • Normalize vectors to unit length
    • Ensure same dimensional space

  3. Calculate Semantic Tension

    ΔS = 1 - cos(θ)

Where:
cos(θ) = (V1 · V2) / (||V1|| * ||V2||)

ΔS ranges:
0.0 = Identical concepts
0.5 = Moderately related
1.0 = Orthogonal/unrelated
2.0 = Opposite concepts

  4. Analyze Tension Components

    • Lexical Distance: Word similarity
    • Contextual Distance: Usage patterns
    • Logical Distance: Reasoning paths
    • Categorical Distance: Domain separation
    • Calculate weighted composite

  5. Interpret Results

    • Map ΔS to semantic zones:
      • 0.0-0.2: Nearly identical
      • 0.2-0.4: Closely related (safe)
      • 0.4-0.6: Moderately related (transitional)
      • 0.6-0.85: Weakly related (risk)
      • 0.85-1.0: Unrelated (danger)

      • 1.0: Contradictory

  6. Generate Relationship Analysis

    • Identify connection type
    • Find bridging concepts
    • Calculate reasoning difficulty
    • Suggest navigation strategy

Output Format

SEMANTIC TENSION ANALYSIS
═══════════════════════════════════════
Concept 1: "$CONCEPT1"
Concept 2: "$CONCEPT2"

Semantic Tension (ΔS): [value]
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
    Identical        Related         Unrelated
    0.0             0.5             1.0
    [═════════════════▼═══════════════]
                    [value]

Interpretation: [Nearly identical/Closely related/Moderately related/Weakly related/Unrelated]

Zone Classification:
[Safe Zone ✓] [Transitional ⚠️] [Risk Zone ⚠️] [Danger Zone ⚠️]

Component Analysis:
┌─────────────────────────────────────┐
│ Component      │ Distance │ Weight  │
├─────────────────────────────────────┤
│ Lexical        │ [value]  │ 25%     │
│ Contextual     │ [value]  │ 35%     │
│ Logical        │ [value]  │ 25%     │
│ Categorical    │ [value]  │ 15%     │
└─────────────────────────────────────┘

Relationship Type: [Direct/Indirect/Analogical/Oppositional/None]

Connection Analysis:
• Shared attributes: [list]
• Common context: [description]
• Logical link: [if exists]

Bridging Concepts (if ΔS > 0.6):
1. [Bridge concept] - ΔS from C1: [val], from C2: [val]
2. [Bridge concept] - ΔS from C1: [val], from C2: [val]
3. [Bridge concept] - ΔS from C1: [val], from C2: [val]

Reasoning Path Difficulty:
[Easy ████░░░░░░] [Medium ████████░░] [Hard ██████████]

Navigation Strategy:
[Direct connection possible]
OR
[Bridging required through: concept]
OR
[Multiple bridges needed: path]

Historical Patterns:
• Previous transitions with similar ΔS: [count]
• Success rate at this tension: [percentage]%
• Average bridges required: [number]

Recommendations:
• Safe to proceed: [Yes/No]
• Suggested approach: [Direct/Bridge/Multi-hop]
• Risk level: [Low/Medium/High]
• BBCR readiness: [Not needed/Standby/Armed]

Tension Patterns

Convergent (ΔS decreasing)

Concept A (0.6) → Concept B (0.4) → Concept C (0.2)

Divergent (ΔS increasing)

Concept A (0.2) → Concept B (0.5) → Concept C (0.8)

Oscillating

Concept A (0.3) → B (0.7) → C (0.4) → D (0.8)

Stable

Concept A (0.4) → B (0.4) → C (0.4) → D (0.4)

Advanced Analysis

# Compare multiple concepts
/reasoning:tension-calc "A" "B; C; D"

# Compare with context
/reasoning:tension-calc "concept"

# Detailed component breakdown
/reasoning:tension-calc "A" "B" --detailed

# Find optimal path
/reasoning:tension-calc "start" "end" --pathfind

Use Cases

  • Measure reasoning jumps
  • Validate logic transitions
  • Find conceptual bridges
  • Assess explanation difficulty
  • Plan teaching sequences
  • Detect non-sequiturs

Integration

Tension calculation feeds into:

  • /boundary:detect for risk assessment
  • /boundary:safe-bridge for pathfinding
  • /semantic:node-build for recording
  • /wfgy:bbcr for correction triggers