77 lines
2.3 KiB
Markdown
77 lines
2.3 KiB
Markdown
# Advanced Sequential Thinking Techniques
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Complex problem-solving patterns.
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## Spiral Refinement
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Return to concepts with progressively deeper understanding.
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```
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Thought 1/7: Initial design (surface)
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Thought 2/7: Discover constraint A
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Thought 3/7: Refine for A
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Thought 4/7: Discover constraint B
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Thought 5/7: Refine for both A and B
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Thought 6/7: Integration reveals edge case
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Thought 7/7: Final design addressing all constraints
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```
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**Use for**: Complex systems where constraints emerge iteratively.
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**Key**: Each return is refinement, not restart.
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## Hypothesis-Driven Investigation
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Systematic hypothesis generation and testing.
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```
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Thought 1/6: Observe symptoms
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Thought 2/6 [HYPOTHESIS]: Explanation X
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Thought 3/6 [VERIFICATION]: Test X—partial match
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Thought 4/6 [REFINED HYPOTHESIS]: Adjusted Y
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Thought 5/6 [VERIFICATION]: Test Y—confirmed
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Thought 6/6 [FINAL]: Solution based on verified Y
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```
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**Use for**: Debugging, root cause analysis, diagnostics.
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**Pattern**: Generate → Test → Refine → Re-test loop.
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## Multi-Branch Convergence
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Explore alternatives, then synthesize best approach.
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```
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Thought 2/8: Multiple viable approaches
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Thought 3/8 [BRANCH A]: Approach A benefits
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Thought 4/8 [BRANCH A]: Approach A drawbacks
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Thought 5/8 [BRANCH B]: Approach B benefits
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Thought 6/8 [BRANCH B]: Approach B drawbacks
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Thought 7/8 [CONVERGENCE]: Hybrid combining A's X with B's Y
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Thought 8/8 [FINAL]: Hybrid superior to either alone
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```
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**Use for**: Complex decisions where neither option clearly best.
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**Key**: Convergence often yields better solution than either branch.
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## Progressive Context Deepening
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Build understanding in layers from abstract to concrete.
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```
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Thought 1/9: High-level problem
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Thought 2/9: Identify major components
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Thought 3/9: Zoom into component A (detailed)
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Thought 4/9: Zoom into component B (detailed)
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Thought 5/9: Identify A-B interactions
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Thought 6/9: Discover emergent constraint
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Thought 7/9 [REVISION of 3-4]: Adjust for interaction
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Thought 8/9: Verify complete system
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Thought 9/9 [FINAL]: Integrated solution
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```
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**Use for**: System design, architecture, integration problems.
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**Pattern**: Abstract → Components → Details → Interactions → Integration.
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## Reference
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See `advanced-strategies.md` for: Uncertainty Management, Revision Cascade Management, Meta-Thinking Calibration, Parallel Constraint Satisfaction.
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