Axiom Explainer

Overview

Generate a clear Chinese teaching article for university students and adults with social experience from a single viewpoint, axiom, theorem, law, principle, or theory system. The output must be Markdown, visually rich, and saved under the current project's markdown/ directory.

Input Contract

Required input:

• One target concept: a viewpoint, axiom, theorem, law, principle, or theory system.

Optional input:

• Audience level. Default: university students and adults with social experience.
• Desired length. Default: 1800-3000 Chinese characters.
• Source material or references supplied by the user.
• Output filename or topic slug.

If the user gives several concepts, choose the central one only when the concepts clearly form one theory chain. Otherwise ask the user to pick one concept before writing.

Workflow

1. Identify the input type:

   • Axiom or postulate: explain that it is not proven inside the system. Describe why people choose it, what problem it solves, what assumptions it introduces, and what changes if it is replaced.
   • Theorem or proposition: trace the axioms, definitions, lemmas, and reasoning chain that support it. Give an intuitive proof first, then a concise formal skeleton when useful.
   • Viewpoint, law, principle, or theory system: rewrite it as claims plus assumptions, then explain its evidence chain, mechanism, scope, and failure cases.

2. Scope the audience:

   • Default to university students and adults with social experience unless the user specifies another level.
   • Use concrete analogies before abstract notation.
   • Prefer examples from investment and personal finance, product management, product operations, marketing, interpersonal relationships, and workplace scenarios unless the concept or user request clearly calls for another domain.
   • Define specialized terms at first use.
   • State any simplifications made for readability.