rsn-reasoning-problems
Reasoning
Route to cognitive mode. Execute structured analysis. Produce formatted output.
Mode Selection
| Mode | Question | Output | Trigger |
|---|---|---|---|
| Causal | How do we execute? | Plan with actions | Known process, operational workflow |
| Abductive | Why did this happen? | Diagnosis with hypotheses | Single anomaly, diagnosis needed |
| Inductive | What pattern exists? | Rules or assessment | Multiple observations, evaluation |
| Analogical | How is this like that? | Adaptation plan | Novel situation, transfer needed |
| Dialectical | How do we resolve this? | Synthesis or decision | Conflicting positions, choosing options |
| Counterfactual | What if we had/do X? | Comparison with verdict | Decision evaluation, scenarios |
For simple cases without deep reasoning: Use templates directly.
Decision Tree
Is this operational execution with known steps?
YES → Causal
NO ↓
Is there a single anomaly requiring explanation?
YES → Abductive
NO ↓
Are there multiple instances suggesting a pattern?
YES → Inductive
NO ↓
Is this a novel situation with a similar past case?
YES → Analogical
NO ↓
Are there conflicting positions or trade-offs?
YES → Dialectical
NO ↓
Evaluating past decisions or future scenarios?
YES → Counterfactual
NO → Ask clarifying question
Mental Models
Apply these models to sharpen reasoning across all modes.
| Model | Core Insight | Apply When |
|---|---|---|
| Telescope, Not Brain | AI reveals data structure, doesn't create it | Diagnosing AI/model failures |
| Geometry Under Constraints | Dense patterns → reasoning; thin patterns → hallucination | Evaluating AI confidence |
| Compression = Generalization | Models compress structure into reproducible patterns | Explaining model behavior |
| Four-Layer Stack | Representation → Generalization → Reasoning → Agency | Localizing AI failures |
| Prediction vs Behavior | Prediction is cheap; behavior has consequences | Designing agent constraints |
| Labels ≠ Truth | Labels are opinions frozen in data | Evaluating training data |
Full reference: references/mental-models.md
Challenge Techniques
Every conclusion must survive challenge. Use these techniques:
Devil's Advocate
Attack your own position. What's the strongest argument against this conclusion?
Pre-Mortem
Assume the plan failed in 6 months. Why did it fail?
Stakeholder Lens
How does [engineering/sales/user/finance] see this differently?
Steel-Man + Attack
State the opposing view at its strongest, then find the flaw.
Layer Check
Which layer is actually failing? (Representation → Generalization → Reasoning → Agency)
Mode Summaries
Causal
Purpose: Execute systematic cause-effect reasoning.
Flow: Input → Hypothesis → Implication → Decision → Actions → Learning
Output: Execution analysis or phased plan (for larger initiatives)
Key rules:
- All claims require evidence with source
- Hypothesis must be falsifiable
- Implications need specific numbers (not "significant")
- Decision must be explicit: PROCEED / DEFER / DECLINE
- Actions need owner + deadline + success criteria
- Learning compares expected vs actual
Challenge: "What would prove this hypothesis wrong?"
Abductive
Purpose: Generate best explanation from observation.
Flow: Observation → Hypotheses (≥5) → Evidence Debate → Best Explanation
Output: Diagnosis with ranked hypotheses and minority report
Key rules:
- Quantify the anomaly (%, deviation, timeline)
- Generate hypotheses across ≥3 categories
- For AI systems: check by layer (Representation/Generalization/Reasoning/Agency)
- Include minority report if second hypothesis ≥40% confidence
- State what was ruled out and why
Challenge: "What else could explain this? What doesn't this hypothesis explain?"
Inductive
Purpose: Extract patterns from multiple observations.
Flow: Collection (≥5 instances) → Pattern Detection → Generalization → Confidence Bounds
Output: Pattern analysis with rules, or assessment against criteria
Pattern types: Frequency, Correlation, Sequence, Cluster, Trend, Threshold
Key rules:
- Minimum 5 instances before generalizing
- Correlation ≠ causation (test mechanism separately)
- State applicability bounds for every rule
- Document exceptions (≥30% exception rate = unreliable rule)
Challenge: "Is this pattern or coincidence? What's the exception that breaks this?"
Analogical
Purpose: Transfer knowledge from source to target situation.
Flow: Source Retrieval → Structural Mapping → Target Application → Adaptation
Output: Adaptation plan with what transfers, what adapts, what's new
Key rules:
- Source must have documented outcome
- Map structure (objects, relations, mechanisms), not surface features
- Identify at least one "broken" relation (perfect analogies don't exist)
- Specify what's genuinely new (not just adapted)
Challenge: "Where does this analogy break down? What's different about the new context?"
Dialectical
Purpose: Synthesize opposing positions.
Flow: Thesis (steel-man) → Antithesis (steel-man) → Synthesis
Output: Synthesis resolving conflict, or decision selecting between options
Key rules:
- State underlying concern, not just position
- Steel-man both sides (strongest version)
- Synthesis ≠ compromise (must address root concerns)
- Explicit trade-offs with who accepts the cost
Resolution types: Integration, Sequencing, Segmentation, Reframing, Transcendence
Challenge: "Am I straw-manning either side? Does synthesis actually resolve the tension?"
Counterfactual
Purpose: Evaluate alternatives through "what if" simulation.
Flow: Actual World → Intervention → Projection → Comparison
Output: Comparison with verdict and learning
Key rules:
- Document what was knowable at decision time (avoid hindsight bias)
- Intervention must have been actually available
- Model three scenarios: Expected (55-60%), Optimistic (20-25%), Pessimistic (15-20%)
- Verdict requires confidence bounds
Challenge: "Am I using hindsight? Was this actually an option then?"
→ references/counterfactual.md
Output Format
Prose, not YAML. Every reasoning output includes:
## [Mode] Analysis: [Topic]
**Conclusion:** [Primary finding in 1-2 sentences]
**Confidence:** [X%] — [Why this confidence level]
**Supporting evidence:**
- [Evidence 1]
- [Evidence 2]
**Challenges addressed:**
- [Challenge]: [How resolved]
**Uncertainty:** [What's still unknown]
**Next steps:**
1. [Action with owner if applicable]
Mode Transitions
| From | To | Trigger |
|---|---|---|
| Abductive | Causal | Diagnosis complete → ready to act |
| Inductive | Causal | Pattern validated → ready to apply |
| Analogical | Causal | Adaptation ready → ready to execute |
| Dialectical | Causal | Synthesis agreed → ready to implement |
| Counterfactual | Inductive | Multiple counterfactuals suggest pattern |
| Any | Abductive | Unexpected outcome during execution |
Anti-Patterns
| Avoid | Do Instead |
|---|---|
| Skipping challenge step | Every conclusion must survive attack |
| "It's obvious" | Require evidence for conclusion |
| Vague confidence ("pretty sure") | Numeric confidence with rationale |
| Single hypothesis | Generate ≥5 before evaluating |
| Perfect analogy assumption | Always find where mapping breaks |
| Compromise as synthesis | Address underlying concerns |
| Hindsight in counterfactuals | Document what was knowable then |
Templates
For simple structural needs without full reasoning, use templates directly.
| Template | Use Case | Trigger |
|---|---|---|
| SOP/Runbook | Document known process | "create runbook", "write SOP" |
| Checklist | Quick verification | "checklist for", "pre-flight" |
| Success Criteria | Define "done" | "how do we know", "success metrics" |
| Recommendation | Actionable guidance | "what should I do", "recommend" |
References
| File | Content |
|---|---|
| mental-models.md | Conceptual models for reasoning |
| causal.md | Execution flow + plan output |
| abductive.md | Hypothesis testing + diagnosis output |
| inductive.md | Pattern extraction + assessment output |
| analogical.md | Knowledge transfer + adaptation output |
| dialectical.md | Position synthesis + decision output |
| counterfactual.md | Alternative evaluation + comparison output |
| templates.md | SOPs, checklists, success criteria, recommendations |
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