A problem-solving tool inspired by Claude Shannon's systematic and iterative approach to complex problems.
This tool helps break down problems using Shannon's methodology of problem definition, mathematical modeling, validation, and practical implementation.
When to use this tool:
Complex system analysis
Information processing problems
Engineering design challenges
Problems requiring theoretical frameworks
Optimization problems
Systems requiring practical implementation
Problems that need iterative refinement
Cases where experimental validation complements theory
Key features:
Systematic progression through problem definition → constraints → modeling → validation → implementation
Support for revising earlier steps as understanding evolves
Ability to mark steps for re-examination with new information
Experimental validation alongside formal proofs
Explicit tracking of assumptions and dependencies
Confidence levels for each step
Rich feedback and validation results
Parameters explained:
thoughtType: Type of thinking step (PROBLEM_DEFINITION, CONSTRAINTS, MODEL, PROOF, IMPLEMENTATION)
uncertainty: Confidence level in the current thought (0-1)
dependencies: Which previous thoughts this builds upon
assumptions: Explicit listing of assumptions made
isRevision: Whether this revises an earlier thought
revisesThought: Which thought is being revised
recheckStep: For marking steps that need re-examination
proofElements: For formal validation steps
experimentalElements: For empirical validation
implementationNotes: For practical application steps
The tool supports an iterative approach:
Define the problem's fundamental elements (revisable as understanding grows)
Identify system constraints and limitations (can be rechecked with new information)
Develop mathematical/theoretical models
Validate through proofs and/or experimental testing
Design and test practical implementations
Each thought can build on, revise, or re-examine previous steps, creating a flexible yet rigorous problem-solving framework.