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Shannon Thinking MCP Server

by olaservo

shannon-thinking

An MCP server demonstrating Claude Shannon's systematic problem-solving methodology. This server provides a tool that helps break down complex problems into structured thoughts following Shannon's approach of problem definition, mathematical modeling, and practical implementation.

Overview

Claude Shannon, known as the father of information theory, approached complex problems through a systematic methodology:

  1. Problem Definition: Strip the problem to its fundamental elements

  2. Constraints: Identify system limitations and boundaries

  3. Model: Develop mathematical/theoretical frameworks

  4. Proof/Validation: Validate through formal proofs or experimental testing

  5. Implementation/Experiment: Design and test practical solutions

This MCP server demonstrates this methodology as a tool that helps guide systematic problem-solving through these stages.

Related MCP server: Sequential Thinking MCP Server

Installation

NPX

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

Usage

The server provides a single tool named shannonthinking that structures problem-solving thoughts according to Shannon's methodology.

Each thought must include:

  • The actual thought content

  • Type (problem_definition/constraints/model/proof/implementation)

  • Thought number and total thoughts estimate

  • Confidence level (uncertainty: 0-1)

  • Dependencies on previous thoughts

  • Explicit assumptions

  • Whether another thought step is needed

Additional capabilities:

  • Revision: Thoughts can revise earlier steps as understanding evolves

  • Recheck: Mark steps that need re-examination with new information

  • Experimental Validation: Support for empirical testing alongside formal proofs

  • Implementation Notes: Practical constraints and proposed solutions

Example Usage

const thought = {
  thought: "The core problem can be defined as an information flow optimization",
  thoughtType: "problem_definition",
  thoughtNumber: 1,
  totalThoughts: 5,
  uncertainty: 0.2,
  dependencies: [],
  assumptions: ["System has finite capacity", "Information flow is continuous"],
  nextThoughtNeeded: true,
  // Optional: Mark as revision of earlier definition
  isRevision: false,
  // Optional: Indicate step needs recheck
  recheckStep: {
    stepToRecheck: "constraints",
    reason: "New capacity limitations discovered",
    newInformation: "System shows non-linear scaling"
  }
};

// Use with MCP client
const result = await client.callTool("shannonthinking", thought);

Features

  • Iterative Problem-Solving: Supports revisions and rechecks as understanding evolves

  • Flexible Validation: Combines formal proofs with experimental validation

  • Dependency Tracking: Explicitly tracks how thoughts build upon previous ones

  • Assumption Management: Requires clear documentation of assumptions

  • Confidence Levels: Quantifies uncertainty in each step

  • Rich Feedback: Formatted console output with color-coding, symbols, and validation results

Development

# Install dependencies
npm install

# Build
npm run build

# Run tests
npm test

# Watch mode during development
npm run watch

Tool Schema

The tool accepts thoughts with the following structure:

interface ShannonThought {
  thought: string;
  thoughtType: "problem_definition" | "constraints" | "model" | "proof" | "implementation";
  thoughtNumber: number;
  totalThoughts: number;
  uncertainty: number; // 0-1
  dependencies: number[];
  assumptions: string[];
  nextThoughtNeeded: boolean;
  
  // Optional revision fields
  isRevision?: boolean;
  revisesThought?: number;
  
  // Optional recheck field
  recheckStep?: {
    stepToRecheck: ThoughtType;
    reason: string;
    newInformation?: string;
  };
  
  // Optional validation fields
  proofElements?: {
    hypothesis: string;
    validation: string;
  };
  experimentalElements?: {
    testDescription: string;
    results: string;
    confidence: number; // 0-1
    limitations: string[];
  };
  
  // Optional implementation fields
  implementationNotes?: {
    practicalConstraints: string[];
    proposedSolution: string;
  };
}

When to Use

This thinking pattern is particularly valuable for:

  • 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

Available Tools

1 tool
shannonthinkingA

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.

ParametersJSON Schema
NameRequiredDescriptionDefault
thoughtYesYour current thinking step
isRevisionNoWhether this thought revises an earlier one
assumptionsYesExplicit list of assumptions
recheckStepNoFor marking steps that need re-examination
thoughtTypeYesType of thinking step
uncertaintyYesConfidence level (0-1)
dependenciesYesThought numbers this builds upon
proofElementsNoElements required for formal proof steps
thoughtNumberYesCurrent thought number
totalThoughtsYesEstimated total thoughts needed
revisesThoughtNoThe thought number being revised
nextThoughtNeededYesWhether another thought step is needed
implementationNotesNoNotes for practical implementation steps
experimentalElementsNoElements for experimental validation

TDQS

A4/5.0
Behavior4/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

With no annotations, the description carries full responsibility for disclosing behavior. It thoroughly explains the iterative nature, support for revisions, re-examination, and tracking of assumptions and confidence levels. It leaves little ambiguity about how the tool operates.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness3/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The description is well-structured with clear sections but is somewhat verbose, especially the 'Key features' and iterative process parts which are partially redundant with the 'Parameters explained' and usage guidelines. It could be more concise.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness4/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

Given the tool's complexity (14 parameters, nested objects) and no output schema, the description is reasonably complete. It explains the methodology, parameter purposes, and iterative workflow. However, it does not specify what the tool returns or how errors are handled.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters3/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema coverage is 100%, so the baseline is 3. The description's 'Parameters explained' section reiterates schema descriptions, adding some context (e.g., 'Which previous thoughts this builds upon') but does not provide significant new meaning beyond what the schema already states.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose5/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description clearly defines the tool as a problem-solving tool inspired by Claude Shannon's systematic approach. It explicitly states the verb (break down problems) and resource (Shannon's methodology), and lists specific use cases, making its purpose unmistakable.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines4/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

The description provides an extensive list of when to use the tool, covering complex systems, engineering, optimization, etc. It also outlines the iterative process and key features. However, it does not explicitly state when not to use the tool or suggest alternatives, but given no siblings, this is acceptable.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

TDQS

A4/5.0
Disambiguation5/5

With only one tool, there is no risk of confusion between tools. The tool's purpose is clearly described and stands alone.

Naming Consistency5/5

A single tool name 'shannonthinking' is trivially consistent. No naming conflicts or inconsistencies exist.

Tool Count2/5

One tool for a complex problem-solving methodology is minimal. The tool is monolithic, handling all thought types via parameters, which reduces modularity and discoverability.

Completeness4/5

The tool covers all key stages of problem-solving (definition, constraints, modeling, proof, implementation, iteration) and includes validation and revision features. However, packing everything into one tool limits granularity and specialized access.

Maintenance

ActivityMaintained
ResponsivenessSyncing

Resources

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