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problem-solving

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Problem-Solving Techniques

问题解决技巧

Systematic approaches for different types of stuck-ness. Each technique targets specific problem patterns.
针对不同困境的系统化方法。每种技巧针对特定的问题模式。

When to Use

适用场景

Apply when encountering:
  • Complexity spiraling - Multiple implementations, growing special cases, excessive branching
  • Innovation blocks - Conventional solutions inadequate, need breakthrough thinking
  • Recurring patterns - Same issue across domains, reinventing solutions
  • Assumption constraints - Forced into "only way", can't question premise
  • Scale uncertainty - Production readiness unclear, edge cases unknown
  • General stuck-ness - Unsure which technique applies
当遇到以下情况时应用：
  • 复杂性螺旋上升 - 多种实现方式、不断增加的特殊情况、过多分支
  • 创新瓶颈 - 常规解决方案不足，需要突破性思维
  • 重复出现的模式 - 不同领域存在相同问题，重复造轮子
  • 假设约束 - 被局限于“唯一方法”，无法质疑前提
  • 规模不确定性 - 生产就绪性不明确，边缘情况未知
  • 普遍困境 - 不确定适用哪种技巧

Quick Dispatch

快速匹配

Match symptom to technique:
Stuck SymptomTechniqueReference
Same thing implemented 5+ ways, growing special casesSimplification Cascades
references/simplification-cascades.md
Conventional solutions inadequate, need breakthroughCollision-Zone Thinking
references/collision-zone-thinking.md
Same issue in different places, reinventing wheelsMeta-Pattern Recognition
references/meta-pattern-recognition.md
Solution feels forced, "must be done this way"Inversion Exercise
references/inversion-exercise.md
Will this work at production? Edge cases unclear?Scale Game
references/scale-game.md
Unsure which technique to useWhen Stuck
references/when-stuck.md
根据症状匹配技巧：
困境症状对应技巧参考文档
同一事物有5种以上实现方式，特殊情况不断增加简化层级法
references/simplification-cascades.md
常规解决方案不足，需要突破碰撞领域思考法
references/collision-zone-thinking.md
不同场景存在相同问题，重复造轮子元模式识别法
references/meta-pattern-recognition.md
解决方案感觉生硬，“必须这样做”逆向思维练习
references/inversion-exercise.md
不确定能否在生产环境运行？边缘情况不明确？规模推演法
references/scale-game.md
不确定适用哪种技巧困境应对指南
references/when-stuck.md

Core Techniques

核心技巧

1. Simplification Cascades

1. 简化层级法

Find one insight eliminating multiple components. "If this is true, we don't need X, Y, Z."
Key insight: Everything is a special case of one general pattern.
Red flag: "Just need to add one more case..." (repeating forever)
找到一个能消除多个组件的核心洞见。“如果这成立，我们就不需要X、Y、Z了。”
核心洞见： 所有事物都是某一通用模式的特例。
警示信号： “只需要再添加一个案例……”（无限重复）

2. Collision-Zone Thinking

2. 碰撞领域思考法

Force unrelated concepts together to discover emergent properties. "What if we treated X like Y?"
Key insight: Revolutionary ideas from deliberate metaphor-mixing.
Red flag: "I've tried everything in this domain"
将不相关的概念强行结合，发现涌现特性。“如果我们把X当作Y来处理会怎样？”
核心洞见： 革命性想法来自刻意的隐喻融合。
警示信号： “我已经尝试了这个领域的所有方法”

3. Meta-Pattern Recognition

3. 元模式识别法

Spot patterns appearing in 3+ domains to find universal principles.
Key insight: Patterns in how patterns emerge reveal reusable abstractions.
Red flag: "This problem is unique" (probably not)
发现出现在3个及以上领域的模式，找到通用原则。
核心洞见： 模式的涌现方式本身揭示了可复用的抽象概念。
警示信号： “这个问题是独一无二的”（通常并非如此）

4. Inversion Exercise

4. 逆向思维练习

Flip core assumptions to reveal hidden constraints. "What if the opposite were true?"
Key insight: Valid inversions reveal context-dependence of "rules."
Red flag: "There's only one way to do this"
翻转核心假设，揭示隐藏的约束。“如果相反的情况成立会怎样？”
核心洞见： 有效的逆向思考会揭示“规则”的语境依赖性。
警示信号： “只有一种方法能做到这件事”

5. Scale Game

5. 规模推演法

Test at extremes (1000x bigger/smaller, instant/year-long) to expose fundamental truths.
Key insight: What works at one scale fails at another.
Red flag: "Should scale fine" (without testing)
在极端条件下测试（放大1000倍/缩小1000倍、即时/长达一年），揭示基本事实。
核心洞见： 在某一规模有效的方法在另一规模可能失效。
警示信号： “应该能很好地扩展”（未经过测试）

Application Process

应用流程

  1. Identify stuck-type - Match symptom to technique above
  2. Load detailed reference - Read specific technique from 
    references/
  3. Apply systematically - Follow technique's process
  4. Document insights - Record what worked/failed
  5. Combine if needed - Some problems need multiple techniques
  1. 识别困境类型 - 将症状与上述技巧匹配
  2. 加载详细参考 - 从
    references/
    中阅读特定技巧的文档
  3. 系统化应用 - 遵循技巧的流程
  4. 记录洞见 - 记录有效/无效的方法
  5. 按需组合 - 有些问题需要多种技巧结合使用

Combining Techniques

技巧组合

Powerful combinations:
  • Simplification + Meta-pattern - Find pattern, then simplify all instances
  • Collision + Inversion - Force metaphor, then invert its assumptions
  • Scale + Simplification - Extremes reveal what to eliminate
  • Meta-pattern + Scale - Universal patterns tested at extremes
强大的组合方式：
  • 简化层级法 + 元模式识别 - 找到模式，然后简化所有实例
  • 碰撞领域思考 + 逆向思维 - 强行融合隐喻，然后翻转其假设
  • 规模推演 + 简化层级 - 极端测试揭示需要消除的部分
  • 元模式识别 + 规模推演 - 通用模式在极端条件下测试

References

参考文档

Load detailed guides as needed:
  • references/when-stuck.md
    - Dispatch flowchart and decision tree
  • references/simplification-cascades.md
    - Cascade detection and extraction
  • references/collision-zone-thinking.md
    - Metaphor collision process
  • references/meta-pattern-recognition.md
    - Pattern abstraction techniques
  • references/inversion-exercise.md
    - Assumption flipping methodology
  • references/scale-game.md
    - Extreme testing procedures
  • references/attribution.md
    - Source and adaptation notes
按需加载详细指南：
  • references/when-stuck.md
    - 匹配流程图和决策树
  • references/simplification-cascades.md
    - 层级检测与提取方法
  • references/collision-zone-thinking.md
    - 隐喻碰撞流程
  • references/meta-pattern-recognition.md
    - 模式抽象技巧
  • references/inversion-exercise.md
    - 假设翻转方法论
  • references/scale-game.md
    - 极端测试流程
  • references/attribution.md
    - 来源与改编说明",