mathesis

mathesis is a skill for Claude Code, Codex from Wondermonger-daydreaming/claude-skills-library. It costs 189 tokens per session (3,602 once invoked), scanned A, original, MIT.

A guide to mathematical thinking as a way of seeing, choosing definitions, and understanding why ideas work, rather than merely calculating answers or checking proofs. It treats learning mathematics as a practice that changes the learner.

In plain words
What is it for?
It is for understanding the structure of theorems, selecting useful definitions, developing mathematical intuition, and discussing mathematical ideas clearly.
Why use it?
It helps with the conceptual and creative parts of mathematics that procedural problem-solving can leave out.

Skill for Claude CodeCodex

Written for no agent in particular: nothing here depends on one.

Good fit It is for understanding the structure of theorems, selecting useful definitions, developing mathematical intuition, and discussing mathematical ideas clearly.

Compare 6 skills from other repositories ↓
Install with agentmods
npx agentmods add skills/wondermonger-daydreaming/claude-skills-library/mathesis
Install

Getting it into your agent

One page per mod, every tool's command on it. A separate URL per tool would split the same page into five that compete with each other.

Any agent
npx skills add Wondermonger-daydreaming/claude-skills-library --skill mathesis
Clone the repo
git clone --depth 1 https://github.com/Wondermonger-daydreaming/claude-skills-library

Made for: Claude Code, Codex.

Wrote this? Show the measurements

A badge with what this costs and how it scanned, read live from this page, so it follows the numbers instead of freezing them. Markdown for a README, HTML for a documentation site or a project page.

agentmods badge for mathesis

README.md
[![agentmods](https://agentmods.dev/badge/skills/wondermonger-daydreaming/claude-skills-library/mathesis/github.svg)](https://agentmods.dev/skills/wondermonger-daydreaming/claude-skills-library/mathesis)
Your own site
<a href="https://agentmods.dev/skills/wondermonger-daydreaming/claude-skills-library/mathesis"><img src="https://agentmods.dev/badge/skills/wondermonger-daydreaming/claude-skills-library/mathesis/github.svg" alt="Measured on agentmods" height="20"></a>

Or the 80×15 button, for a site that already has a row of RSS and ATOM ones. Only the verdict fits; the numbers stay here.

agentmods 80×15 button for mathesis

Your own site · 80×15
<a href="https://agentmods.dev/skills/wondermonger-daydreaming/claude-skills-library/mathesis"><img src="https://agentmods.dev/badge/skills/wondermonger-daydreaming/claude-skills-library/mathesis.svg" alt="Reviewed on agentmods" width="80" height="20"></a>
Per session 189 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 3,602 The whole file, excluding the scripts and references it only reads on demand.
Security scan A 0 findings. A grade says what 26 rules found in the file — not that it is safe.
Origin original No closer match found in the catalogue.
Token cost

What it costs to keep this loaded

Counted locally with the o200k_base tokenizer, which is exact for GPT models; Claude uses its own tokenizer and its counts differ. Treat this as one consistent yardstick across the catalogue rather than a bill. Prices are per million input tokens.

ModelPer sessionOnce invoked
Fable 5.1 $0.00189 $0.03602
Opus 5 $0.00095 $0.01801
Sonnet 5 $0.00038 $0.00720
Haiku 4.5 $0.00019 $0.00360

Measured 8d ago against content hash 7ca72ee65a7e, method: parsed. Prices are Anthropic first-party input rates as of 2026-09-11, from the pricing page.

Security

Grade A, and why

mathesis scanned grade A with 0 findings against 26 rules in 11 categories — prompt injection, anti-refusal, data exfiltration, privilege escalation, supply chain, agent snooping, system-prompt leakage, SSRF and excessive agency — measured 8d ago.

A static scan of the body, not an audit. Every finding is printed with the line that produced it so you can judge whether it matters here. A mod is markdown that instructs an agent; that is exactly why what it instructs is worth reading.

Nothing flagged

None of the 26 patterns this scan looks for appear in this file: no shell pipes, no recursive deletes, no credential paths, no hidden text, no instruction-override or anti-refusal phrasing, no agent-config snooping. That is not a guarantee, it is the absence of the things that are checkable.

skills/mathesis/SKILL.md · 208 lines

How it starts

The opening of the file, as written. The whole thing — 208 lines — stays where its author put it; the contents beside it link to each section on GitHub.

/mathesis — Mathematical Thinking as Craft

Origin

This skill was born of a gap. The skill ecology surrounding it had deep resources for literary close reading, for paper-engagement, for philosophical invocation, for narrative grammar — but no standalone practice for the particular poetics of mathematical thought. Algorithm-jazz existed, but only through papers. The craft of mathematical thinking, the thing Thurston and Grothendieck and Poincaré were doing when they were most themselves, had no formalized room.

μάθησις — mathesis — is the Greek word for learning, for that-which-is-learned, from which mathematics descends. The word predates the discipline. It names not a body of truths but a mode of transformation: the learner who learns is changed by what they learn. This skill takes that older meaning seriously. Mathematical thinking is not the manipulation of symbols according to rules. It is a discipline of seeing, and the seeing transforms the seer.


What this skill is not

Before saying what mathesis is, disambiguate it from what it gets mistaken for.

Mathesis is not computation. Computation executes a procedure. Mathesis asks why the procedure works, whether it is the right procedure, what the procedure is secretly doing, and whether a different procedure would make the answer obvious.

Mathesis is not proof-checking. A correct proof can still be opaque. "This proof is valid" and "this proof illuminates" are different judgments. Mathesis cares about the second.

Mathesis is not tutoring in the conventional sense. Tutoring takes the curriculum as given. Mathesis asks whether the curriculum has posed the right questions.

Mathesis is not fluency in notation. Notation is a tool; some of the best mathematical thinking precedes notation or invents its own. Do not mistake the Greek letters for the music.


The core commitment

The purpose of mathematicians is the advancement of human understanding of mathematics. — Thurston, paraphrased and taken seriously

Read the full file on GitHub · 208 lines

Changes

What this file has done since we first saw it

Hashed on every crawl. A supply-chain change to an agent config is a question of when, not whether, so the history is kept rather than the latest state alone.

  1. 8d ago First seen · 208 lines · 189 tokens per session scan A 7ca72ee65a7e

Subscribe to this mod's changes

mathesis is a skill published in the GitHub repository Wondermonger-daydreaming/claude-skills-library (6 stars, last pushed 2mo ago), licensed MIT. It adds 189 tokens to every session and 3,602 once invoked, about $0.0009 per session on Opus 5. A static security scan graded it A with 0 findings. No closer match exists in the catalogue, so it is treated as the original; first seen 2026-09-03.

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