logic-deduction

Review premises, inference steps, and argument structure for logical soundness.

6|Updated Apr 16, 2026
One-click install
npx skills add https://github.com/the-thinker0/math-skill --skill logic-deduction
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: logic-deduction
Source: https://github.com/the-thinker0/math-skill/tree/main/skills/logic-deduction
Command: npx skills add https://github.com/the-thinker0/math-skill --skill logic-deduction

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

This Skill helps verify proofs and evaluate everyday arguments for logical rigor, identifying gaps, leaps, and potential fallacies to strengthen reasoning.

Core Features & Use Cases

  • Scientific Proof Verification: check proofs for rigor, validity of steps, and predicate logic verification.
  • Debate & Decision Support: identify logical fallacies in rational debates, assess argument validity, and trace reasoning chains in daily decision-making.
  • Quantifier & Inference Analysis: analyze ∀/∃ nesting, apply quantifier rules, and reconstruct rigorous argument structure.

Quick Start

Trigger with a request to verify a proof or argument for rigor and identify any logical gaps.

Frequently Asked Questions about logic-deduction

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I verify a mathematical proof for logical rigor and valid inference steps?

To evaluate an argument for logical fallacies, you review the premises and trace the inference steps. Flagging logical fallacies requires checking if the reasoning structure remains valid and sound throughout the entire deductive chain.

How does quantifier analysis work for nested forall and exists expressions in predicate logic?

Quantifier analysis works by evaluating nested forall and exists expressions in predicate logic to ensure correct application of quantifier rules. It reconstructs rigorous argument structures by verifying the scope and validity of each logical operator.

Can I use formal reasoning review to identify gaps in everyday decision-making?

Yes, you can use formal reasoning review to identify gaps in everyday decision-making. By evaluating premises and applying valid inference rules, you can trace reasoning chains and assess argument validity in rational debates and daily choices.

What is the best way to check predicate logic verification in scientific proofs?

The best way to check predicate logic verification in scientific proofs is to evaluate the argument structure and apply valid inference rules. This process flags logical fallacies and ensures the mathematical proof maintains logical rigor.

When should I not use formal proof analysis for argument evaluation?

You should not use formal proof analysis when premises are subjective or empirical claims cannot be logically verified. Argument evaluation requires clearly stated premises, as formal reasoning reviews cannot validate factual accuracy or quantify uncertainty.