| name | paradox-sifter |
| description | Cross-reference every source on the same topic to find contradictions everyone ignored. Use when different sources say different things, or when you need to find blind spots in a set of claims. |
| tags | ["novelty","thinking","literature-review"] |
| difficulty | advanced |
| argument-hint | Topic or set of papers to analyze |
Paradox Sifter — Find the Contradictions Everyone Ignored
Every paper has a "Limitations" section. Nobody cross-references them. You do.
When you collect limitations from N papers on the same topic, contradictions emerge. Paper A's limitation is paper B's claimed advantage. Paper C's "future work" was already done by paper D and it didn't work.
These contradictions are where unsolved problems live.
Protocol
Step 1: Collect Limitations
Find 5-10 papers on the same topic. Extract the exact limitation statements. Include the paper's own words.
Step 2: Cross-Reference
Create a matrix. For each pair of limitations, ask:
- Do these contradict each other? (A says X causes Y, B says X does not cause Y)
- Do these ignore each other? (A flags a problem, B claims to solve it without citing A)
- Do these compound? (A's limitation + B's limitation = a harder problem than either alone)
Step 3: Classify Each Paradox
| Type | Description | Opportunity |
|---|
| Direct contradiction | A says X, B says not-X | One of them is wrong. Find out which. |
| Mutual ignorance | A and B solved the same problem in incompatible ways | A synthesis could be novel. |
| Hidden dependency | A's solution only works if B's assumption holds | The combined system is fragile. |
| Escalation | Solving A's limitation exacerbates B's | Trade-off space needs mapping. |
Step 4: Identify the Richest Paradox
The paradox with the highest combination of:
- Ignored duration (how long have these papers coexisted without anyone resolving this?)
- Impact if resolved (what would change?)
- Testability (can we design an experiment?)
Example Output
Topic: "Chain-of-Thought Prompting"
Papers: Wei et al. (2022), Wang et al. (2023), Kojima et al. (2022), Creswell et al. (2023), Madaan et al. (2024)
Cross-referenced limitations:
| Paper | Limitation |
|---|
| Wei et al. | "CoT only helps above a certain model scale (~100B parameters)" |
| Wang et al. | "Self-consistency improves CoT but requires multiple samples" |
| Kojima et al. | "Zero-shot CoT works with models as small as 7B" |
| Creswell et al. | "CoT can amplify errors — wrong reasoning chains produce wrong answers with higher confidence" |
| Madaan et al. | "Self-refinement improves CoT but benefits from external feedback" |
Paradox found — Direct Contradiction:
Wei et al. (2022) claims CoT only works at ≥100B parameters. Kojima et al. (2022) shows zero-shot CoT works at 7B. Both published in the same year. Neither cites the other's limitation. The contradiction has been ignored for 3+ years.
Root cause: They tested different tasks (math vs common sense) and different CoT variants (few-shot vs zero-shot). The real limitation is task-dependent, not scale-dependent.
Resolution experiment: Test few-shot CoT vs zero-shot CoT across 10 tasks at model sizes from 1B-100B. Find the crossover point where each variant starts working. Publish the full surface.
Anti-Patterns
| Mistake | Why it fails | Fix |
|---|
| Superficial comparison | "Paper A and B are different" | Find the specific contradiction in their claims |
| Not citing sources | Claims without evidence | Quote the exact limitation statement |
| Ignoring temporal context | Older papers couldn't know | Account for when each paper was published |
PRISM Integration
In PRISM mode, this pattern's input changes: instead of paper limitations, it cross-references the structured findings from all 6 generators in Phase 1.
Output as structured YAML:
pattern: paradox-sifter
input: "<all generator findings>"
cross_references:
convergences:
- claim: "<finding from 3+ sources>"
sources: [pattern_a, pattern_b, pattern_c]
confidence: HIGH
contradictions:
- claim_a: "<finding from pattern_x>"
claim_b: "<finding from pattern_y>"
source_a: pattern_x
source_b: pattern_y
potential_resolution: "<how to test which is right>"
creative_tensions:
- dimension: "<the pushed dimension>"
dreamer_claim: "<dreamer's 10× push>"
pragmatist_assessment: "<pragmatist's cost verdict>"
frontier: "<the boundary of feasible ambition>"
assumption_cascades:
- assumption: "<from assumption-excavator>"
inverted_by: "<contrarian's inversion of it>"
consequence_if_false: "<what breaks>"
Consumed by: synthesis (final output), skeptic (validation of cross-references)
Consumes from: contrarian, assumption-excavator, cross-pollinator, heretic, counterfactual, dreamer
Trigger Conditions
Use this skill when:
- Asked to find "research gaps" or "future work"
- Reviewing multiple papers on the same topic
- Writing a "Related Work" section
- The user says "there's a contradiction in the literature"