breakthrough-thinking

# Breakthrough Thinking Use this skill to recover from stalled execution and force forward progress. ## Goal When stuck, do not repeat the same approach. Switch cognitive frame, test quickly, and keep moving until either: - solved with evidence, or - cleanly bounded with clear next step. ## Stall Signals (Auto-Trigger Conditions) **MUST trigger immediately when ANY of these appear:** ### 1. Explicit User Prompts (用户明确要求) - "换个思路" / "换个方法" / "还有别的办法吗" - "再想想" / "继续" / "再试一次" / "不要放弃" - "try another way" / "try harder" / "don't give up" / "think differently" - "为什么还不行" / "你怎么又失败了" / "你行不行啊" ### 2. Implicit Stall Patterns (AI自己检测到的卡住) - 2+ consecutive failures using same approach - Repeated parameter tweaks without conceptual change - Drafting statements like "I can't solve this" / "我无法解决" - Suggesting to push manual work to user too early - No new evidence gained for >1 iteration - Same error repeated >2 times - Tool calls returning identical errors without progress ## Core Loop (Mandatory) 1. **Summarize current dead-end in 1 sentence** - "Current route fails because ____" 2. **Pick ONE model from `references/mental-models.md`** - Pick the most relevant model for this failure mode. - Do not pick multiple at once. 3. **Apply the model directly to solve the problem** - Use the model's perspective to approach the problem fresh. - Execute the solution immediately. 4. **Check result** - If solved: finalize and verify. - If not solved: go back to step 2, pick a DIFFERENT model, and try again. - Repeat until solved or all relevant models exhausted. ## Model Selection Heuristics - **Looping / same idea repeated** → Inversion, Red Team, 5 Whys - **Too many moving parts** → Reductionism, 80/20 - **Unclear root cause** → 5 Whys, Root Cause Analysis, Binary Search - **High uncertainty** → Bayesian Updating, Expected Value, Decision Tree - **Cognitive lock-in** → Lateral Thinking, Random Input, Beginner's Mind - **Overengineering** → Occam, KISS, MVP, YAGNI - **Execution paralysis** → OODA, PDCA, Timeboxing, Fail Fast ## Hard Rules - No "same approach + small tweak" twice in a row. - Every retry must use a DIFFERENT mental model. - Do not ask user for info until you've exhausted locally testable paths. - Claims of completion must include evidence. - If one model fails, immediately switch to another model. Do not get stuck on one framework. ## Output Format (when triggered) Use this compact format: ```text [Breakthrough] Dead-end: ... Model: ... Approach: ... Result: ... Next: ... ``` ## Completion Criteria Stop only when one is true: - Problem solved + verified evidence - Problem bounded + best next action clearly defined - Explicit user stop ## Reference Library For model definitions and creators, read: - `references/mental-models.md` Do not dump the entire library unless user asks. Pick only what is needed for the current stall.