theory-counterexample
CommunityTest conjectures by constructing counterexamples.
Education & Research#mathematics#logic#assumptions#critical-thinking#counterexample#proof-analysis#theory-testing
AuthorShiien
Version1.0.0
Installs0
System Documentation
What problem does it solve?
This skill helps you systematically test mathematical claims by constructing counterexamples, highlighting where assumptions fail and guiding refinement.
Core Features & Use Cases
- Generate degenerate, boundary, and pathological counterexamples to reveal weaknesses in a claim.
- Report minimal counterexamples and specify which assumption is violated, with suggested strengthened conditions.
- Applicable to mathematical proofs, logic, and theoretical computer science conjectures; useful for proof critique, research brainstorming, and hypothesis refinement.
Quick Start
State a claim with explicit assumptions and ask the system to produce a counterexample or verify the claim.
Dependency Matrix
Required Modules
None requiredComponents
Standard package💻 Claude Code Installation
Recommended: Let Claude install automatically. Simply copy and paste the text below to Claude Code.
Please help me install this Skill: Name: theory-counterexample Download link: https://github.com/Shiien/Self-Evolved-Research-Framework/archive/main.zip#theory-counterexample Please download this .zip file, extract it, and install it in the .claude/skills/ directory.
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