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shannon-thinking

@olaservo

About shannon-thinking

MCP server for applying a Claude Shannon-inspired problem-solving pattern

Config

Add this server to your MCP-compatible client using the configuration below.

{
  "mcpServers": {
    "shannon-thinking": {
      "command": "npx",
      "args": [
        "-y",
        "server-shannon-thinking@latest"
      ]
    }
  }
}

Tools

1

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: 1. Define the problem's fundamental elements (revisable as understanding grows) 2. Identify system constraints and limitations (can be rechecked with new information) 3. Develop mathematical/theoretical models 4. Validate through proofs and/or experimental testing 5. Design and test practical implementations Each thought can build on, revise, or re-examine previous steps, creating a flexible yet rigorous problem-solving framework.

Overview

What is shannon-thinking?

shannon-thinking is an MCP server that implements Claude Shannon's systematic problem-solving methodology. It provides a tool that helps break down complex problems into structured thoughts following Shannon's approach of problem definition, mathematical modeling, and practical implementation.

How to use shannon-thinking?

Install via NPX by adding the server configuration to your MCP client's JSON config. Invoke the single shannonthinking tool with a structured thought object specifying content, type, number, total thoughts, confidence level, dependencies, and assumptions.

Key features of shannon-thinking

  • Iterative problem-solving with revision and recheck capabilities
  • Dependency tracking between successive thoughts
  • Assumption management with explicit documentation
  • Confidence levels quantifying uncertainty per step
  • Flexible validation combining formal proofs and experimental testing

Use cases of shannon-thinking

  • Complex system analysis requiring structured decomposition
  • Information processing problems needing theoretical frameworks
  • Engineering design challenges with iterative refinement
  • Optimization problems requiring both theory and practical implementation
  • Cases where experimental validation complements formal proofs

FAQ from shannon-thinking

What methodology does the server implement?

It implements Claude Shannon's five-stage approach: problem definition, constraints identification, mathematical modeling, proof/validation, and implementation/experiment.

What tool does the server provide?

A single tool named shannonthinking that accepts structured thought objects with required fields like type, number, dependencies, assumptions, and confidence level.

What thought types are supported?

Five types: problem_definition, constraints, model, proof, and implementation.

What optional fields does the tool support?

It supports revision fields (isRevision, revisesThought), recheck definitions, proof elements, experimental validation with results and confidence, and implementation notes for practical constraints and solutions.

How can experimental validation be used?

The tool accepts experimentalElements with test description, results, confidence score (0–1), and limitations alongside formal proof elements.

Frequently asked questions

What methodology does the server implement?

It implements Claude Shannon's five-stage approach: problem definition, constraints identification, mathematical modeling, proof/validation, and implementation/experiment.

What tool does the server provide?

A single tool named `shannonthinking` that accepts structured thought objects with required fields like type, number, dependencies, assumptions, and confidence level.

What thought types are supported?

Five types: problem_definition, constraints, model, proof, and implementation.

What optional fields does the tool support?

It supports revision fields (isRevision, revisesThought), recheck definitions, proof elements, experimental validation with results and confidence, and implementation notes for practical constraints and solutions.

How can experimental validation be used?

The tool accepts `experimentalElements` with test description, results, confidence score (0–1), and limitations alongside formal proof elements.

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