think-mathematics

Construct formal proofs, tensor analyses, and computability arguments from user prompts.

1|Updated Apr 13, 2026

Search Tags:#analysis #mathematics #reasoning #logic #proofs #computability #tensor-analysis

Ready to run

npx skills add https://github.com/danielsimonjr/deepthinking-plugin --skill think-mathematics

💬 Prompt for ChatGPT / Claude Chat▼

Please help me install this Agent Skill.
Skill: think-mathematics
Source: https://github.com/danielsimonjr/deepthinking-plugin/tree/main/skills/think-mathematics
Command: npx skills add https://github.com/danielsimonjr/deepthinking-plugin --skill think-mathematics

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

This Skill helps users tackle mathematical, physical, and computability challenges by structuring reasoning tasks into formal proofs, tensor analyses, and computability arguments. It reduces cognitive load and improves accuracy by making dependencies, assumptions, and steps explicit.

Core Features & Use Cases

Formal reasoning: construct proofs, verify theorems, and perform symbolic manipulations.
Physical reasoning: formulate tensor equations, apply conservation laws, and analyze symmetries.
Computability reasoning: assess decidability, classify complexity, and design reductions.

Quick Start

Propose a problem in mathematics, physics, or computability to initiate a formal reasoning session.

Frequently Asked Questions about think-mathematics

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

FAQPage Schema

How do I construct rigorous mathematical proofs step by step?▼

Constructing rigorous mathematical proofs requires making dependencies, assumptions, and steps explicit. This Skill guides you through formal reasoning tasks by structuring the proof construction process in a time-ordered, stepwise manner to ensure accuracy and reduce cognitive load.

What is the best way to formulate tensor equations for physical reasoning?▼

Formulating tensor equations for physical reasoning involves applying conservation laws and analyzing symmetries. This Skill helps you perform physical tensor analyses by structuring the formulation process and explicitly defining assumptions and dependencies for accurate results.

How does computability reasoning work for assessing decidability and complexity?▼

Computability reasoning assesses decidability, classifies complexity, and designs reductions. This Skill structures computability arguments by making dependencies and assumptions explicit, guiding you through the analysis in a stepwise manner to evaluate problem solvability.

Can I use this approach to verify theorems and perform symbolic manipulations?▼

Yes, you can verify theorems and perform symbolic manipulations using formal reasoning. This Skill supports formal reasoning tasks across mathematics, physics, and computability domains by constructing rigorous arguments with explicit dependencies and a clearly defined output schema.

Do I need specific software dependencies to perform formal reasoning tasks?▼

No external software dependencies are required to perform formal reasoning tasks. This Skill operates independently, structuring proofs, tensor analyses, and computability arguments through a guided, stepwise process that makes assumptions and dependencies explicit without relying on external components.